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The 'dlmtree' function accommodates various response variable types, including continuous, binary, and zero-inflated count values. The function is designed to handle both single exposure and exposure mixtures. For a single exposure, users are offered options to model non-linear effects (tdlnm), linear effects (tdlm), or heterogeneous subgroup/individualized effects (hdlm). In the case of exposure mixtures, the function supports lagged interactions (tdlmm), and heterogeneous subgroup/individualized effects (hdlmm) allowing for a comprehensive exploration of mixture exposure heterogeneity. Additionally, users can fine-tune parameters to impose effect shrinkage and perform exposure selection, enhancing the adaptability and precision of the modeling process. For more detailed documentation, visit: dlmtree website.

Usage

dlmtree(
  formula,
  data,
  exposure.data,
  dlm.type = "linear",
  family = "gaussian",
  mixture = FALSE,
  het = FALSE,
  control.mcmc = list(),
  control.hyper = list(),
  control.family = list(),
  control.tdlnm = list(),
  control.het = list(),
  control.mix = list(),
  control.monotone = list(),
  control.diagnose = list()
)

Arguments

formula

object of class formula, a symbolic description of the fixed effect model to be fitted, e.g. y ~ a + b.

data

data frame containing variables used in the formula.

exposure.data

numerical matrix of exposure data with same length as data, for a mixture setting (tdlmm, hdlmm): named list containing equally sized numerical matrices of exposure data having same length as data.

dlm.type

dlm model specification: "linear" (default), "nonlinear", "monotone".

family

'gaussian' for continuous response, 'logit' for binomial, 'zinb' for zero-inflated negative binomial.

mixture

flag for mixture, set to TRUE for tdlmm and hdlmm (default: FALSE).

het

flag for heterogeneity, set to TRUE for hdlm and hdlmm (default: FALSE).

control.mcmc

list of MCMC control parameters. This is passed to dlmtree.control.mcmc.

control.hyper

list of hyperparameter control parameters. This is passed to dlmtree.control.hyper

control.family

list of family control parameters. This is passed to dlmtree.control.family

control.tdlnm

list of TDLNM control parameters. This is passed to dlmtree.control.tdlnm

control.het

list of control parameters for heterogeneous models. This is passed to dlmtree.control.het

control.mix

list of mixture control parameters. This is passed to dlmtree.control.mix

control.monotone

list of control parameters for monotone model. This is passed to dlmtree.control.monotone

control.diagnose

list of control parameters for diagnostics. This is passed to dlmtree.control.diagnose

Value

object of one of the classes: tdlm, tdlmm, tdlnm, hdlm, hdlmm, monotone

Details

dlmtree

Model is recommended to be run for at minimum 5000 burn-in iterations followed by 15000 sampling iterations with a thinning factor of 5. Convergence can be checked by re-running the model and validating consistency of results. Examples are provided below for the syntax for running different types of models. For more examples, visit: dlmtree website.

Examples

# \donttest{

  # The first three examples are for one lagged exposure


  # treed distributed lag model (TDLM)
  # binary outcome with logit link

  D <- sim.tdlmm(sim = "A", mean.p = 0.5, n = 1000)
  tdlm.fit <- dlmtree(y ~ .,
                      data = D$dat,
                      exposure.data = D$exposures[[1]],
                      dlm.type = "linear",
                      family = "logit",
                      control.family = list(binomial.size = 1))
#> Preparing data...
#> 
#> Running TDLM:
#> Burn-in % complete 
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> MCMC iterations (est time: 2 seconds)
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> Compiling results...

  # summarize results
  tdlm.sum <- summary(tdlm.fit)
  tdlm.sum
#> $ctr
#> $ctr$class
#> [1] "tdlm"
#> 
#> $ctr$n.trees
#> [1] 20
#> 
#> $ctr$n.iter
#> [1] 2000
#> 
#> $ctr$n.thin
#> [1] 10
#> 
#> $ctr$n.burn
#> [1] 1000
#> 
#> $ctr$response
#> [1] "logit"
#> 
#> 
#> $conf.level
#> [1] 0.95
#> 
#> $n.lag
#> [1] 37
#> 
#> $sig.to.noise
#> [1] 0.2022322
#> 
#> $rse
#> [1] 0
#> 
#> $n
#> [1] 1000
#> 
#> $matfit
#>  [1]  0.0080643570  0.0041229714  0.0070913593  0.0068576677  0.0057602633
#>  [6]  0.0024153681 -0.0011957739 -0.0060546758 -0.0081682549 -0.0074412274
#> [11] -0.0068802770 -0.0030292656  0.0007884911  0.0062279315  0.0092141692
#> [16]  0.0102715415  0.0094927422  0.0147990116  0.0277838883  0.0402109639
#> [21]  0.0542117792  0.1138916250  0.1177125197  0.1169339882  0.1015244792
#> [26]  0.0953374280  0.0558067963  0.0047928425  0.0026319280 -0.0019186285
#> [31] -0.0082937985 -0.0078658962 -0.0061045048 -0.0026802000 -0.0003908520
#> [36] -0.0008014059  0.0031780308
#> 
#> $cilower
#>  [1] -0.03301816 -0.03277974 -0.02645146 -0.01924514 -0.02605587 -0.02828722
#>  [7] -0.04082016 -0.05075107 -0.05554114 -0.04677224 -0.04611749 -0.03858785
#> [13] -0.03131607 -0.02782116 -0.02245884 -0.02776494 -0.05013217 -0.02959275
#> [19] -0.01973634 -0.01236464 -0.01167314  0.05074356  0.05224018  0.04938160
#> [25]  0.01960324  0.01739656 -0.02589788 -0.04882300 -0.04771592 -0.05419332
#> [31] -0.05758256 -0.04917647 -0.05017188 -0.04399975 -0.03532641 -0.04191435
#> [37] -0.04151786
#> 
#> $ciupper
#>  [1] 0.08027373 0.05145767 0.05020728 0.04632383 0.04619321 0.03566578
#>  [7] 0.03022854 0.02446406 0.02385699 0.01813352 0.02404091 0.02862653
#> [13] 0.03183830 0.04384448 0.05131304 0.05101657 0.05485762 0.07018150
#> [19] 0.10114152 0.11679955 0.13517534 0.18596620 0.18759470 0.18751462
#> [25] 0.17403889 0.17815551 0.14658341 0.06503692 0.06329912 0.04698862
#> [31] 0.02917582 0.03106028 0.03745759 0.03238843 0.05172128 0.05924452
#> [37] 0.06856502
#> 
#> $cumulative.effect
#>      mean      2.5%     97.5% 
#> 0.7582974 0.3604214 1.1422907 
#> 
#> $formula
#> y ~ .
#> <environment: 0x55b84eb9c8b8>
#> 
#> $gamma.mean
#>  (Intercept)           c1           c2           c3           c4           c5 
#>  0.015116403  0.089077368 -0.148718615 -0.080056384 -0.053345863 -0.149920771 
#>           b1           b2           b3           b4           b5 
#>  0.039214207 -0.283187098  0.177389126  0.009262515  0.178222824 
#> 
#> $gamma.ci
#>       (Intercept)          c1          c2          c3          c4         c5
#> 2.5%   -0.2574239 -0.02386233 -0.26127652 -0.22738768 -0.19280488 -0.2829940
#> 97.5%   0.3101935  0.19857171 -0.02764447  0.04574338  0.06903427 -0.0227069
#>               b1           b2          b3         b4          b5
#> 2.5%  -0.2225395 -0.550004802 -0.08975365 -0.2674135 -0.07181459
#> 97.5%  0.3213861  0.003684051  0.47712052  0.2647797  0.45371245
#> 
#> attr(,"class")
#> [1] "summary.tdlm"

  # plot results
  plot(tdlm.sum)




  # Treed distributed lag nonlinear model (TDLNM)
  # Gaussian regression model
  D <- sim.tdlnm(sim = "A", error.to.signal = 1)
  tdlnm.fit <- dlmtree(formula = y ~ .,
                       data = D$dat,
                       exposure.data = D$exposures,
                       dlm.type = "nonlinear",
                       family = "gaussian")
#> Preparing data...
#> 
#> Running TDLNM:
#> Burn-in % complete 
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> MCMC iterations (est time: 0 seconds)
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> Compiling results...

  # summarize results
  tdlnm.sum <- summary(tdlnm.fit)
#> Centered DLNM at exposure value 0 
  tdlnm.sum
#> $ctr
#> $ctr$class
#> [1] "tdlnm"
#> 
#> $ctr$n.trees
#> [1] 20
#> 
#> $ctr$n.iter
#> [1] 2000
#> 
#> $ctr$n.thin
#> [1] 10
#> 
#> $ctr$n.burn
#> [1] 1000
#> 
#> $ctr$response
#> [1] "gaussian"
#> 
#> 
#> $conf.level
#> [1] 0.95
#> 
#> $n.lag
#> [1] 37
#> 
#> $sig.to.noise
#> [1] 0.8355243
#> 
#> $rse
#> [1] 0.1337037
#> 
#> $n
#> [1] 926
#> 
#> $plot.dat
#>     Tmin Tmax     Xmin     Xmax  PredVal           Est         SD        CIMin
#> 1      0    1 1.062245 1.699981 1.648694  2.412307e-02 0.04458533 -0.057599872
#> 2      0    1 1.699981 1.775368 1.751268  3.559290e-02 0.06420788 -0.101384922
#> 3      0    1 1.775368 1.835269 1.799468  3.926745e-02 0.07093067 -0.114006201
#> 4      0    1 1.835269 1.892682 1.871069  4.187020e-02 0.07745985 -0.120554636
#> 5      0    1 1.892682 1.933662 1.914296  4.181490e-02 0.07981894 -0.119925264
#> 6      0    1 1.933662 1.972404 1.953028  4.085366e-02 0.08128698 -0.133035202
#> 7      0    1 1.972404 2.008396 1.991781  3.918274e-02 0.08240350 -0.150007896
#> 8      0    1 2.008396 2.041395 2.025010  3.734160e-02 0.08323746 -0.155981468
#> 9      0    1 2.041395 2.076143 2.057780  3.534291e-02 0.08404931 -0.153907625
#> 10     0    1 2.076143 2.117286 2.094506  3.317352e-02 0.08501218 -0.142913837
#> 11     0    1 2.117286 2.163326 2.140066  3.116064e-02 0.08628472 -0.163708370
#> 12     0    1 2.163326 2.205605 2.186586  3.065410e-02 0.08754431 -0.170810549
#> 13     0    1 2.205605 2.246900 2.224624  3.189313e-02 0.08840402 -0.171145546
#> 14     0    1 2.246900 2.293677 2.269176  3.551964e-02 0.08909676 -0.166303527
#> 15     0    1 2.293677 2.343877 2.318177  4.210756e-02 0.08944621 -0.150710709
#> 16     0    1 2.343877 2.403865 2.369576  5.126015e-02 0.08948432 -0.136659137
#> 17     0    1 2.403865 2.496138 2.438154  6.515629e-02 0.08938554 -0.129923408
#> 18     0    1 2.496138 2.627070 2.554122  8.717379e-02 0.08963769 -0.116135892
#> 19     0    1 2.627070 3.622562 2.700018  1.069573e-01 0.09298430 -0.096318216
#> 20     1    2 1.062245 1.699981 1.648694  2.872700e-02 0.04302235 -0.029945121
#> 21     1    2 1.699981 1.775368 1.751268  4.365589e-02 0.06260670 -0.044574570
#> 22     1    2 1.775368 1.835269 1.799468  4.901434e-02 0.06951049 -0.051698778
#> 23     1    2 1.835269 1.892682 1.871069  5.390946e-02 0.07610483 -0.070985955
#> 24     1    2 1.892682 1.933662 1.914296  5.504352e-02 0.07809197 -0.075780867
#> 25     1    2 1.933662 1.972404 1.953028  5.500586e-02 0.07883036 -0.072011974
#> 26     1    2 1.972404 2.008396 1.991781  5.412615e-02 0.07883361 -0.070511951
#> 27     1    2 2.008396 2.041395 2.025010  5.286339e-02 0.07846957 -0.075330114
#> 28     1    2 2.041395 2.076143 2.057780  5.135084e-02 0.07797852 -0.079192362
#> 29     1    2 2.076143 2.117286 2.094506  4.963400e-02 0.07747816 -0.091505320
#> 30     1    2 2.117286 2.163326 2.140066  4.805780e-02 0.07714768 -0.083055093
#> 31     1    2 2.163326 2.205605 2.186586  4.786908e-02 0.07720164 -0.085626808
#> 32     1    2 2.205605 2.246900 2.224624  4.928534e-02 0.07745546 -0.079620847
#> 33     1    2 2.246900 2.293677 2.269176  5.304550e-02 0.07785342 -0.080488032
#> 34     1    2 2.293677 2.343877 2.318177  5.972205e-02 0.07830555 -0.079679252
#> 35     1    2 2.343877 2.403865 2.369576  6.895154e-02 0.07877069 -0.076437564
#> 36     1    2 2.403865 2.496138 2.438154  8.302431e-02 0.07937388 -0.053132080
#> 37     1    2 2.496138 2.627070 2.554122  1.058456e-01 0.07976174 -0.025767870
#> 38     1    2 2.627070 3.622562 2.700018  1.276882e-01 0.07990795 -0.009846849
#> 39     2    3 1.062245 1.699981 1.648694  2.999097e-02 0.04215600 -0.028815465
#> 40     2    3 1.699981 1.775368 1.751268  4.598885e-02 0.06053515 -0.040273910
#> 41     2    3 1.775368 1.835269 1.799468  5.193583e-02 0.06677639 -0.050488234
#> 42     2    3 1.835269 1.892682 1.871069  5.776211e-02 0.07243513 -0.053102545
#> 43     2    3 1.892682 1.933662 1.914296  5.947774e-02 0.07389694 -0.047168108
#> 44     2    3 1.933662 1.972404 1.953028  5.996703e-02 0.07415479 -0.056743271
#> 45     2    3 1.972404 2.008396 1.991781  5.961346e-02 0.07362828 -0.064675367
#> 46     2    3 2.008396 2.041395 2.025010  5.879351e-02 0.07275146 -0.058115824
#> 47     2    3 2.041395 2.076143 2.057780  5.770101e-02 0.07170276 -0.057298894
#> 48     2    3 2.076143 2.117286 2.094506  5.642211e-02 0.07054003 -0.059514273
#> 49     2    3 2.117286 2.163326 2.140066  5.531734e-02 0.06939617 -0.068410174
#> 50     2    3 2.163326 2.205605 2.186586  5.550058e-02 0.06870403 -0.069523322
#> 51     2    3 2.205605 2.246900 2.224624  5.712542e-02 0.06843953 -0.064649461
#> 52     2    3 2.246900 2.293677 2.269176  6.101850e-02 0.06833221 -0.048669684
#> 53     2    3 2.293677 2.343877 2.318177  6.771826e-02 0.06833401 -0.055523760
#> 54     2    3 2.343877 2.403865 2.369576  7.687110e-02 0.06843191 -0.049668801
#> 55     2    3 2.403865 2.496138 2.438154  9.076155e-02 0.06872610 -0.036717232
#> 56     2    3 2.496138 2.627070 2.554122  1.132518e-01 0.06908434 -0.003674358
#> 57     2    3 2.627070 3.622562 2.700018  1.346383e-01 0.06996273  0.022609294
#> 58     3    4 1.062245 1.699981 1.648694  3.075569e-02 0.04237529 -0.026142515
#> 59     3    4 1.699981 1.775368 1.751268  4.703621e-02 0.06110064 -0.039869828
#> 60     3    4 1.775368 1.835269 1.799468  5.302602e-02 0.06763910 -0.039666073
#> 61     3    4 1.835269 1.892682 1.871069  5.875379e-02 0.07390638 -0.053102545
#> 62     3    4 1.892682 1.933662 1.914296  6.030530e-02 0.07579165 -0.047168135
#> 63     3    4 1.933662 1.972404 1.953028  6.058242e-02 0.07642718 -0.056743342
#> 64     3    4 1.972404 2.008396 1.991781  5.996297e-02 0.07625540 -0.064682354
#> 65     3    4 2.008396 2.041395 2.025010  5.888192e-02 0.07566132 -0.058400838
#> 66     3    4 2.041395 2.076143 2.057780  5.751259e-02 0.07488074 -0.063752909
#> 67     3    4 2.076143 2.117286 2.094506  5.591447e-02 0.07402258 -0.072777205
#> 68     3    4 2.117286 2.163326 2.140066  5.442346e-02 0.07328062 -0.081449880
#> 69     3    4 2.163326 2.205605 2.186586  5.424889e-02 0.07300940 -0.079176497
#> 70     3    4 2.205605 2.246900 2.224624  5.562193e-02 0.07304999 -0.079651550
#> 71     3    4 2.246900 2.293677 2.269176  5.927262e-02 0.07318587 -0.086441872
#> 72     3    4 2.293677 2.343877 2.318177  6.576651e-02 0.07325239 -0.079679252
#> 73     3    4 2.343877 2.403865 2.369576  7.475300e-02 0.07319338 -0.076437564
#> 74     3    4 2.403865 2.496138 2.438154  8.845029e-02 0.07310024 -0.053132080
#> 75     3    4 2.496138 2.627070 2.554122  1.105176e-01 0.07319255 -0.014124040
#> 76     3    4 2.627070 3.622562 2.700018  1.310833e-01 0.07428887 -0.003422141
#> 77     4    5 1.062245 1.699981 1.648694  3.156317e-02 0.04120656 -0.023840724
#> 78     4    5 1.699981 1.775368 1.751268  4.867841e-02 0.05857064 -0.028207354
#> 79     4    5 1.775368 1.835269 1.799468  5.514665e-02 0.06429721 -0.031425711
#> 80     4    5 1.835269 1.892682 1.871069  6.161767e-02 0.06935066 -0.032525475
#> 81     4    5 1.892682 1.933662 1.914296  6.360543e-02 0.07061094 -0.041710552
#> 82     4    5 1.933662 1.972404 1.953028  6.425116e-02 0.07080926 -0.038534958
#> 83     4    5 1.972404 2.008396 1.991781  6.397384e-02 0.07033130 -0.042262697
#> 84     4    5 2.008396 2.041395 2.025010  6.316388e-02 0.06957187 -0.047640154
#> 85     4    5 2.041395 2.076143 2.057780  6.204265e-02 0.06869584 -0.051179024
#> 86     4    5 2.076143 2.117286 2.094506  6.070207e-02 0.06777502 -0.053802264
#> 87     4    5 2.117286 2.163326 2.140066  5.950373e-02 0.06695594 -0.061710026
#> 88     4    5 2.163326 2.205605 2.186586  5.959898e-02 0.06654625 -0.059163163
#> 89     4    5 2.205605 2.246900 2.224624  6.116915e-02 0.06642140 -0.053519519
#> 90     4    5 2.246900 2.293677 2.269176  6.501883e-02 0.06634637 -0.043895647
#> 91     4    5 2.293677 2.343877 2.318177  7.168378e-02 0.06625319 -0.031178620
#> 92     4    5 2.343877 2.403865 2.369576  8.078793e-02 0.06621597 -0.017811434
#> 93     4    5 2.403865 2.496138 2.438154  9.454104e-02 0.06651209 -0.014373868
#> 94     4    5 2.496138 2.627070 2.554122  1.165006e-01 0.06762812  0.009596310
#> 95     4    5 2.627070 3.622562 2.700018  1.368335e-01 0.06930667  0.019954764
#> 96     5    6 1.062245 1.699981 1.648694  3.189547e-02 0.04140248 -0.023840724
#> 97     5    6 1.699981 1.775368 1.751268  4.938349e-02 0.05874175 -0.028207354
#> 98     5    6 1.775368 1.835269 1.799468  5.613265e-02 0.06444014 -0.031425711
#> 99     5    6 1.835269 1.892682 1.871069  6.317794e-02 0.06949464 -0.030497573
#> 100    5    6 1.892682 1.933662 1.914296  6.559919e-02 0.07080020 -0.041710552
#> 101    5    6 1.933662 1.972404 1.953028  6.667482e-02 0.07105832 -0.042515449
#> 102    5    6 1.972404 2.008396 1.991781  6.684913e-02 0.07063136 -0.042262697
#> 103    5    6 2.008396 2.041395 2.025010  6.642811e-02 0.06988103 -0.043175252
#> 104    5    6 2.041395 2.076143 2.057780  6.567862e-02 0.06895975 -0.049284694
#> 105    5    6 2.076143 2.117286 2.094506  6.472699e-02 0.06790822 -0.045046449
#> 106    5    6 2.117286 2.163326 2.140066  6.395377e-02 0.06681478 -0.046488467
#> 107    5    6 2.163326 2.205605 2.186586  6.440596e-02 0.06604894 -0.044214651
#> 108    5    6 2.205605 2.246900 2.224624  6.620895e-02 0.06563622 -0.038698500
#> 109    5    6 2.246900 2.293677 2.269176  7.026967e-02 0.06529491 -0.034460911
#> 110    5    6 2.293677 2.343877 2.318177  7.710303e-02 0.06505418 -0.025249820
#> 111    5    6 2.343877 2.403865 2.369576  8.633083e-02 0.06504616 -0.015057803
#> 112    5    6 2.403865 2.496138 2.438154  1.001969e-01 0.06560642 -0.003101263
#> 113    5    6 2.496138 2.627070 2.554122  1.222969e-01 0.06727656  0.012977852
#> 114    5    6 2.627070 3.622562 2.700018  1.428020e-01 0.06919003  0.034131469
#> 115    6    7 1.062245 1.699981 1.648694  3.191006e-02 0.04139846 -0.023840724
#> 116    6    7 1.699981 1.775368 1.751268  4.937266e-02 0.05873596 -0.028207354
#> 117    6    7 1.775368 1.835269 1.799468  5.610741e-02 0.06442937 -0.031425711
#> 118    6    7 1.835269 1.892682 1.871069  6.315175e-02 0.06945836 -0.030497573
#> 119    6    7 1.892682 1.933662 1.914296  6.559811e-02 0.07072904 -0.031995230
#> 120    6    7 1.933662 1.972404 1.953028  6.671967e-02 0.07093876 -0.036671521
#> 121    6    7 1.972404 2.008396 1.991781  6.696418e-02 0.07044765 -0.038125716
#> 122    6    7 2.008396 2.041395 2.025010  6.662150e-02 0.06963517 -0.038548850
#> 123    6    7 2.041395 2.076143 2.057780  6.596251e-02 0.06865595 -0.039392834
#> 124    6    7 2.076143 2.117286 2.094506  6.512237e-02 0.06755995 -0.043806830
#> 125    6    7 2.117286 2.163326 2.140066  6.449153e-02 0.06647024 -0.040512179
#> 126    6    7 2.163326 2.205605 2.186586  6.508088e-02 0.06579983 -0.042561025
#> 127    6    7 2.205605 2.246900 2.224624  6.698269e-02 0.06553488 -0.038582329
#> 128    6    7 2.246900 2.293677 2.269176  7.114015e-02 0.06542820 -0.034460911
#> 129    6    7 2.293677 2.343877 2.318177  7.805654e-02 0.06548568 -0.025249820
#> 130    6    7 2.343877 2.403865 2.369576  8.734948e-02 0.06578685 -0.015057803
#> 131    6    7 2.403865 2.496138 2.438154  1.012770e-01 0.06667925 -0.003101263
#> 132    6    7 2.496138 2.627070 2.554122  1.234345e-01 0.06861810  0.010093906
#> 133    6    7 2.627070 3.622562 2.700018  1.439458e-01 0.07051505  0.030748617
#> 134    7    8 1.062245 1.699981 1.648694  3.187632e-02 0.04142370 -0.023840724
#> 135    7    8 1.699981 1.775368 1.751268  4.931655e-02 0.05880018 -0.028207354
#> 136    7    8 1.775368 1.835269 1.799468  5.603930e-02 0.06451787 -0.031412116
#> 137    7    8 1.835269 1.892682 1.871069  6.306116e-02 0.06958193 -0.030497573
#> 138    7    8 1.892682 1.933662 1.914296  6.548933e-02 0.07087428 -0.031995230
#> 139    7    8 1.933662 1.972404 1.953028  6.659081e-02 0.07111016 -0.036671521
#> 140    7    8 1.972404 2.008396 1.991781  6.681158e-02 0.07066016 -0.038125716
#> 141    7    8 2.008396 2.041395 2.025010  6.644606e-02 0.06990132 -0.038548850
#> 142    7    8 2.041395 2.076143 2.057780  6.576302e-02 0.06899535 -0.039392834
#> 143    7    8 2.076143 2.117286 2.094506  6.489523e-02 0.06800543 -0.043806830
#> 144    7    8 2.117286 2.163326 2.140066  6.423101e-02 0.06707282 -0.040512179
#> 145    7    8 2.163326 2.205605 2.186586  6.478964e-02 0.06656771 -0.043832252
#> 146    7    8 2.205605 2.246900 2.224624  6.667008e-02 0.06641868 -0.043310715
#> 147    7    8 2.246900 2.293677 2.269176  7.080749e-02 0.06640219 -0.037975644
#> 148    7    8 2.293677 2.343877 2.318177  7.770801e-02 0.06648353 -0.029793821
#> 149    7    8 2.343877 2.403865 2.369576  8.699056e-02 0.06672248 -0.016121008
#> 150    7    8 2.403865 2.496138 2.438154  1.009122e-01 0.06743066 -0.014159766
#> 151    7    8 2.496138 2.627070 2.554122  1.230743e-01 0.06900259  0.010093906
#> 152    7    8 2.627070 3.622562 2.700018  1.436056e-01 0.07059074  0.030748617
#> 153    8    9 1.062245 1.699981 1.648694  3.136920e-02 0.04146530 -0.024210058
#> 154    8    9 1.699981 1.775368 1.751268  4.825358e-02 0.05902226 -0.031113464
#> 155    8    9 1.775368 1.835269 1.799468  5.460160e-02 0.06495047 -0.033318135
#> 156    8    9 1.835269 1.892682 1.871069  6.091206e-02 0.07059271 -0.042113981
#> 157    8    9 1.892682 1.933662 1.914296  6.282152e-02 0.07246179 -0.045386681
#> 158    8    9 1.933662 1.972404 1.953028  6.340890e-02 0.07342358 -0.042515449
#> 159    8    9 1.972404 2.008396 1.991781  6.308088e-02 0.07395348 -0.047864432
#> 160    8    9 2.008396 2.041395 2.025010  6.222989e-02 0.07426812 -0.054452665
#> 161    8    9 2.041395 2.076143 2.057780  6.106724e-02 0.07463382 -0.062182255
#> 162    8    9 2.076143 2.117286 2.094506  5.967615e-02 0.07527815 -0.071239791
#> 163    8    9 2.117286 2.163326 2.140066  5.840675e-02 0.07653036 -0.067541598
#> 164    8    9 2.163326 2.205605 2.186586  5.842039e-02 0.07818485 -0.061350897
#> 165    8    9 2.205605 2.246900 2.224624  5.991989e-02 0.07956932 -0.060912055
#> 166    8    9 2.246900 2.293677 2.269176  6.368720e-02 0.08094281 -0.057973279
#> 167    8    9 2.293677 2.343877 2.318177  7.026856e-02 0.08196439 -0.056572352
#> 168    8    9 2.343877 2.403865 2.369576  7.929911e-02 0.08253938 -0.047488737
#> 169    8    9 2.403865 2.496138 2.438154  9.298046e-02 0.08291699 -0.031269216
#> 170    8    9 2.496138 2.627070 2.554122  1.148648e-01 0.08344651 -0.013500175
#> 171    8    9 2.627070 3.622562 2.700018  1.350943e-01 0.08489233  0.017223213
#> 172    9   10 1.062245 1.699981 1.648694  2.910287e-02 0.04186227 -0.029943137
#> 173    9   10 1.699981 1.775368 1.751268  4.311190e-02 0.05975833 -0.045813665
#> 174    9   10 1.775368 1.835269 1.799468  4.759811e-02 0.06596505 -0.059397304
#> 175    9   10 1.835269 1.892682 1.871069  5.055088e-02 0.07283235 -0.079944123
#> 176    9   10 1.892682 1.933662 1.914296  5.012156e-02 0.07666536 -0.107281618
#> 177    9   10 1.933662 1.972404 1.953028  4.845969e-02 0.08083632 -0.154468502
#> 178    9   10 1.972404 2.008396 1.991781  4.579844e-02 0.08638683 -0.204958241
#> 179    9   10 2.008396 2.041395 2.025010  4.294376e-02 0.09253177 -0.236682278
#> 180    9   10 2.041395 2.076143 2.057780  3.986585e-02 0.09981170 -0.261652203
#> 181    9   10 2.076143 2.117286 2.094506  3.647521e-02 0.10903891 -0.287193039
#> 182    9   10 2.117286 2.163326 2.140066  3.304893e-02 0.12106025 -0.350587345
#> 183    9   10 2.163326 2.205605 2.186586  3.132038e-02 0.13260550 -0.446645498
#> 184    9   10 2.205605 2.246900 2.224624  3.176069e-02 0.14064761 -0.506106544
#> 185    9   10 2.246900 2.293677 2.269176  3.467104e-02 0.14794056 -0.553636328
#> 186    9   10 2.293677 2.343877 2.318177  4.069213e-02 0.15323624 -0.575276292
#> 187    9   10 2.343877 2.403865 2.369576  4.942127e-02 0.15618510 -0.580023691
#> 188    9   10 2.403865 2.496138 2.438154  6.292091e-02 0.15732993 -0.571959824
#> 189    9   10 2.496138 2.627070 2.554122  8.460049e-02 0.15619434 -0.539860142
#> 190    9   10 2.627070 3.622562 2.700018  1.045207e-01 0.15477933 -0.509993109
#> 191   10   11 1.062245 1.699981 1.648694  1.134135e-02 0.04232699 -0.045627814
#> 192   10   11 1.699981 1.775368 1.751268 -2.982666e-02 0.06232415 -0.114712734
#> 193   10   11 1.775368 1.835269 1.799468 -7.839959e-02 0.07122886 -0.172701781
#> 194   10   11 1.835269 1.892682 1.871069 -1.981793e-01 0.08517424 -0.309198897
#> 195   10   11 1.892682 1.933662 1.914296 -2.985484e-01 0.09428370 -0.421719054
#> 196   10   11 1.933662 1.972404 1.953028 -4.031432e-01 0.10243708 -0.539744981
#> 197   10   11 1.972404 2.008396 1.991781 -5.166940e-01 0.10990621 -0.661015362
#> 198   10   11 2.008396 2.041395 2.025010 -6.164824e-01 0.11527166 -0.769360875
#> 199   10   11 2.041395 2.076143 2.057780 -7.127688e-01 0.11934277 -0.870490863
#> 200   10   11 2.076143 2.117286 2.094506 -8.134828e-01 0.12237025 -0.971716931
#> 201   10   11 2.117286 2.163326 2.140066 -9.216649e-01 0.12407993 -1.078565522
#> 202   10   11 2.163326 2.205605 2.186586 -1.008191e+00 0.12408026 -1.164397268
#> 203   10   11 2.205605 2.246900 2.224624 -1.060005e+00 0.12330799 -1.218225041
#> 204   10   11 2.246900 2.293677 2.269176 -1.100691e+00 0.12208897 -1.258960324
#> 205   10   11 2.293677 2.343877 2.318177 -1.124957e+00 0.12093223 -1.279647829
#> 206   10   11 2.343877 2.403865 2.369576 -1.133978e+00 0.12039527 -1.288644349
#> 207   10   11 2.403865 2.496138 2.438154 -1.131096e+00 0.12099026 -1.300102481
#> 208   10   11 2.496138 2.627070 2.554122 -1.113784e+00 0.12377109 -1.294581157
#> 209   10   11 2.627070 3.622562 2.700018 -1.094127e+00 0.12681017 -1.267950610
#> 210   11   12 1.062245 1.699981 1.648694  1.007792e-02 0.04121793 -0.047147423
#> 211   11   12 1.699981 1.775368 1.751268 -3.220380e-02 0.06117849 -0.117264396
#> 212   11   12 1.775368 1.835269 1.799468 -8.142723e-02 0.07012480 -0.174987440
#> 213   11   12 1.835269 1.892682 1.871069 -2.022347e-01 0.08377488 -0.317445092
#> 214   11   12 1.892682 1.933662 1.914296 -3.031941e-01 0.09231989 -0.425175725
#> 215   11   12 1.933662 1.972404 1.953028 -4.082540e-01 0.09971031 -0.539744981
#> 216   11   12 1.972404 2.008396 1.991781 -5.221806e-01 0.10624453 -0.661015362
#> 217   11   12 2.008396 2.041395 2.025010 -6.222059e-01 0.11075154 -0.769360875
#> 218   11   12 2.041395 2.076143 2.057780 -7.186444e-01 0.11399897 -0.870490863
#> 219   11   12 2.076143 2.117286 2.094506 -8.194365e-01 0.11620897 -0.971716931
#> 220   11   12 2.117286 2.163326 2.140066 -9.275991e-01 0.11715689 -1.078565522
#> 221   11   12 2.163326 2.205605 2.186586 -1.014008e+00 0.11672652 -1.164397268
#> 222   11   12 2.205605 2.246900 2.224624 -1.065681e+00 0.11584902 -1.218225041
#> 223   11   12 2.246900 2.293677 2.269176 -1.106180e+00 0.11471461 -1.258925264
#> 224   11   12 2.293677 2.343877 2.318177 -1.130236e+00 0.11377766 -1.279420459
#> 225   11   12 2.343877 2.403865 2.369576 -1.139048e+00 0.11346308 -1.288050953
#> 226   11   12 2.403865 2.496138 2.438154 -1.135914e+00 0.11418467 -1.283395371
#> 227   11   12 2.496138 2.627070 2.554122 -1.118253e+00 0.11678431 -1.268816271
#> 228   11   12 2.627070 3.622562 2.700018 -1.098331e+00 0.11969782 -1.263648626
#> 229   12   13 1.062245 1.699981 1.648694  6.461242e-03 0.03633550 -0.047532884
#> 230   12   13 1.699981 1.775368 1.751268 -3.841193e-02 0.05269348 -0.118603668
#> 231   12   13 1.775368 1.835269 1.799468 -8.887834e-02 0.05939962 -0.178471045
#> 232   12   13 1.835269 1.892682 1.871069 -2.113388e-01 0.06943562 -0.319482130
#> 233   12   13 1.892682 1.933662 1.914296 -3.131155e-01 0.07601808 -0.432584506
#> 234   12   13 1.933662 1.972404 1.953028 -4.187703e-01 0.08199286 -0.544319233
#> 235   12   13 1.972404 2.008396 1.991781 -5.331602e-01 0.08750342 -0.667462264
#> 236   12   13 2.008396 2.041395 2.025010 -6.334828e-01 0.09145596 -0.769901380
#> 237   12   13 2.041395 2.076143 2.057780 -7.301327e-01 0.09444048 -0.872266440
#> 238   12   13 2.076143 2.117286 2.094506 -8.310787e-01 0.09666746 -0.975896798
#> 239   12   13 2.117286 2.163326 2.140066 -9.393341e-01 0.09802680 -1.082015379
#> 240   12   13 2.163326 2.205605 2.186586 -1.025757e+00 0.09832478 -1.168345765
#> 241   12   13 2.205605 2.246900 2.224624 -1.077404e+00 0.09813607 -1.222461420
#> 242   12   13 2.246900 2.293677 2.269176 -1.117850e+00 0.09775389 -1.261453379
#> 243   12   13 2.293677 2.343877 2.318177 -1.141842e+00 0.09742915 -1.281619683
#> 244   12   13 2.343877 2.403865 2.369576 -1.150599e+00 0.09745202 -1.288644349
#> 245   12   13 2.403865 2.496138 2.438154 -1.147428e+00 0.09823817 -1.300079845
#> 246   12   13 2.496138 2.627070 2.554122 -1.129805e+00 0.10057540 -1.291163500
#> 247   12   13 2.627070 3.622562 2.700018 -1.110032e+00 0.10335585 -1.266288243
#> 248   13   14 1.062245 1.699981 1.648694  1.365790e-03 0.03468046 -0.052319939
#> 249   13   14 1.699981 1.775368 1.751268 -4.727626e-02 0.05041055 -0.129218965
#> 250   13   14 1.775368 1.835269 1.799468 -9.951758e-02 0.05734674 -0.192850644
#> 251   13   14 1.835269 1.892682 1.871069 -2.242659e-01 0.06883503 -0.349978214
#> 252   13   14 1.892682 1.933662 1.914296 -3.271310e-01 0.07683746 -0.469930673
#> 253   13   14 1.933662 1.972404 1.953028 -4.335572e-01 0.08421926 -0.582677022
#> 254   13   14 1.972404 2.008396 1.991781 -5.485370e-01 0.09109577 -0.724990067
#> 255   13   14 2.008396 2.041395 2.025010 -6.492372e-01 0.09609649 -0.834797797
#> 256   13   14 2.041395 2.076143 2.057780 -7.461612e-01 0.09995605 -0.936538122
#> 257   13   14 2.076143 2.117286 2.094506 -8.473188e-01 0.10294782 -1.039176257
#> 258   13   14 2.117286 2.163326 2.140066 -9.557272e-01 0.10492407 -1.144533320
#> 259   13   14 2.163326 2.205605 2.186586 -1.042214e+00 0.10548908 -1.227267096
#> 260   13   14 2.205605 2.246900 2.224624 -1.093863e+00 0.10527976 -1.277910408
#> 261   13   14 2.246900 2.293677 2.269176 -1.134273e+00 0.10465268 -1.314155288
#> 262   13   14 2.293677 2.343877 2.318177 -1.158197e+00 0.10385615 -1.333379183
#> 263   13   14 2.343877 2.403865 2.369576 -1.166871e+00 0.10325054 -1.342236884
#> 264   13   14 2.403865 2.496138 2.438154 -1.163602e+00 0.10318170 -1.335690044
#> 265   13   14 2.496138 2.627070 2.554122 -1.145901e+00 0.10467003 -1.309918213
#> 266   13   14 2.627070 3.622562 2.700018 -1.126152e+00 0.10761447 -1.303786274
#> 267   14   15 1.062245 1.699981 1.648694  1.258851e-03 0.03377912 -0.052195216
#> 268   14   15 1.699981 1.775368 1.751268 -4.767043e-02 0.04892760 -0.129218965
#> 269   14   15 1.775368 1.835269 1.799468 -1.000884e-01 0.05570252 -0.192850644
#> 270   14   15 1.835269 1.892682 1.871069 -2.250957e-01 0.06725254 -0.349978214
#> 271   14   15 1.892682 1.933662 1.914296 -3.280885e-01 0.07545490 -0.469994302
#> 272   14   15 1.933662 1.972404 1.953028 -4.345980e-01 0.08307258 -0.582677022
#> 273   14   15 1.972404 2.008396 1.991781 -5.496266e-01 0.09020534 -0.724990067
#> 274   14   15 2.008396 2.041395 2.025010 -6.503413e-01 0.09542916 -0.836734598
#> 275   14   15 2.041395 2.076143 2.057780 -7.472569e-01 0.09950877 -0.937915335
#> 276   14   15 2.076143 2.117286 2.094506 -8.483842e-01 0.10274713 -1.040111845
#> 277   14   15 2.117286 2.163326 2.140066 -9.567355e-01 0.10502550 -1.145849747
#> 278   14   15 2.163326 2.205605 2.186586 -1.043158e+00 0.10587815 -1.227225730
#> 279   14   15 2.205605 2.246900 2.224624 -1.094760e+00 0.10586867 -1.274602058
#> 280   14   15 2.246900 2.293677 2.269176 -1.135130e+00 0.10541382 -1.311071192
#> 281   14   15 2.293677 2.343877 2.318177 -1.159036e+00 0.10471729 -1.331873734
#> 282   14   15 2.343877 2.403865 2.369576 -1.167717e+00 0.10412665 -1.333617958
#> 283   14   15 2.403865 2.496138 2.438154 -1.164488e+00 0.10399681 -1.322322333
#> 284   14   15 2.496138 2.627070 2.554122 -1.146878e+00 0.10540931 -1.309918213
#> 285   14   15 2.627070 3.622562 2.700018 -1.127194e+00 0.10848003 -1.303786274
#> 286   15   16 1.062245 1.699981 1.648694  1.576708e-02 0.03357678 -0.038330715
#> 287   15   16 1.699981 1.775368 1.751268  1.475390e-02 0.04804395 -0.075727231
#> 288   15   16 1.775368 1.835269 1.799468  9.365242e-03 0.05315818 -0.093938761
#> 289   15   16 1.835269 1.892682 1.871069 -5.128897e-03 0.05889024 -0.127503944
#> 290   15   16 1.892682 1.933662 1.914296 -1.692560e-02 0.06191028 -0.146016128
#> 291   15   16 1.933662 1.972404 1.953028 -2.862398e-02 0.06487636 -0.158715215
#> 292   15   16 1.972404 2.008396 1.991781 -4.062234e-02 0.06849523 -0.178838168
#> 293   15   16 2.008396 2.041395 2.025010 -5.055483e-02 0.07232740 -0.197553773
#> 294   15   16 2.041395 2.076143 2.057780 -5.954410e-02 0.07681357 -0.216497591
#> 295   15   16 2.076143 2.117286 2.094506 -6.816707e-02 0.08254314 -0.238961716
#> 296   15   16 2.117286 2.163326 2.140066 -7.606288e-02 0.09018274 -0.268232820
#> 297   15   16 2.163326 2.205605 2.186586 -8.035537e-02 0.09775737 -0.292298734
#> 298   15   16 2.205605 2.246900 2.224624 -8.087707e-02 0.10317792 -0.303516758
#> 299   15   16 2.246900 2.293677 2.269176 -7.824850e-02 0.10816864 -0.310508496
#> 300   15   16 2.293677 2.343877 2.318177 -7.197686e-02 0.11175070 -0.310375174
#> 301   15   16 2.343877 2.403865 2.369576 -6.277768e-02 0.11356290 -0.302879061
#> 302   15   16 2.403865 2.496138 2.438154 -4.871229e-02 0.11388050 -0.285930185
#> 303   15   16 2.496138 2.627070 2.554122 -2.649872e-02 0.11283214 -0.258328512
#> 304   15   16 2.627070 3.622562 2.700018 -6.267346e-03 0.11433056 -0.249958203
#> 305   16   17 1.062245 1.699981 1.648694  1.497256e-02 0.03433024 -0.038350867
#> 306   16   17 1.699981 1.775368 1.751268  1.341961e-02 0.04983037 -0.078512915
#> 307   16   17 1.775368 1.835269 1.799468  7.960967e-03 0.05554282 -0.103825671
#> 308   16   17 1.835269 1.892682 1.871069 -6.123081e-03 0.06189761 -0.134479121
#> 309   16   17 1.892682 1.933662 1.914296 -1.728064e-02 0.06482495 -0.148074487
#> 310   16   17 1.933662 1.972404 1.953028 -2.814257e-02 0.06719255 -0.158715215
#> 311   16   17 1.972404 2.008396 1.991781 -3.908437e-02 0.06961204 -0.174898804
#> 312   16   17 2.008396 2.041395 2.025010 -4.797972e-02 0.07193039 -0.184663448
#> 313   16   17 2.041395 2.076143 2.057780 -5.587777e-02 0.07455758 -0.197127471
#> 314   16   17 2.076143 2.117286 2.094506 -6.326137e-02 0.07793083 -0.210154418
#> 315   16   17 2.117286 2.163326 2.140066 -6.969646e-02 0.08255709 -0.231201464
#> 316   16   17 2.163326 2.205605 2.186586 -7.268716e-02 0.08729898 -0.237000019
#> 317   16   17 2.205605 2.246900 2.224624 -7.233334e-02 0.09076212 -0.241590448
#> 318   16   17 2.246900 2.293677 2.269176 -6.890886e-02 0.09396453 -0.250234953
#> 319   16   17 2.293677 2.343877 2.318177 -6.202328e-02 0.09622888 -0.253652491
#> 320   16   17 2.343877 2.403865 2.369576 -5.241245e-02 0.09733767 -0.251559983
#> 321   16   17 2.403865 2.496138 2.438154 -3.803721e-02 0.09758656 -0.242427059
#> 322   16   17 2.496138 2.627070 2.554122 -1.557377e-02 0.09753130 -0.219817769
#> 323   16   17 2.627070 3.622562 2.700018  4.811504e-03 0.09993686 -0.196023993
#> 324   17   18 1.062245 1.699981 1.648694  1.450100e-02 0.03379747 -0.038637027
#> 325   17   18 1.699981 1.775368 1.751268  1.272943e-02 0.04925141 -0.078499865
#> 326   17   18 1.775368 1.835269 1.799468  7.205300e-03 0.05495347 -0.101230127
#> 327   17   18 1.835269 1.892682 1.871069 -6.927394e-03 0.06115085 -0.135573505
#> 328   17   18 1.892682 1.933662 1.914296 -1.810458e-02 0.06380024 -0.146194913
#> 329   17   18 1.933662 1.972404 1.953028 -2.899742e-02 0.06573112 -0.161088764
#> 330   17   18 1.972404 2.008396 1.991781 -3.999933e-02 0.06748101 -0.174685594
#> 331   17   18 2.008396 2.041395 2.025010 -4.897937e-02 0.06900573 -0.182212974
#> 332   17   18 2.041395 2.076143 2.057780 -5.699544e-02 0.07063784 -0.185939631
#> 333   17   18 2.076143 2.117286 2.094506 -6.455111e-02 0.07265883 -0.195841257
#> 334   17   18 2.117286 2.163326 2.140066 -7.124567e-02 0.07534184 -0.199129867
#> 335   17   18 2.163326 2.205605 2.186586 -7.452633e-02 0.07796335 -0.196213959
#> 336   17   18 2.205605 2.246900 2.224624 -7.440351e-02 0.07972992 -0.194107876
#> 337   17   18 2.246900 2.293677 2.269176 -7.121693e-02 0.08111500 -0.192804181
#> 338   17   18 2.293677 2.343877 2.318177 -6.453031e-02 0.08167915 -0.188371311
#> 339   17   18 2.343877 2.403865 2.369576 -5.504722e-02 0.08135588 -0.186875829
#> 340   17   18 2.403865 2.496138 2.438154 -4.072388e-02 0.08015256 -0.181802218
#> 341   17   18 2.496138 2.627070 2.554122 -1.813970e-02 0.07830366 -0.153007634
#> 342   17   18 2.627070 3.622562 2.700018  2.535093e-03 0.07910663 -0.143781869
#> 343   18   19 1.062245 1.699981 1.648694  1.242085e-02 0.03314665 -0.038637027
#> 344   18   19 1.699981 1.775368 1.751268  9.579168e-03 0.04836129 -0.078499865
#> 345   18   19 1.775368 1.835269 1.799468  3.766013e-03 0.05415018 -0.101230127
#> 346   18   19 1.835269 1.892682 1.871069 -1.035815e-02 0.06093185 -0.135573505
#> 347   18   19 1.892682 1.933662 1.914296 -2.125789e-02 0.06430179 -0.146194913
#> 348   18   19 1.933662 1.972404 1.953028 -3.175231e-02 0.06717043 -0.164303857
#> 349   18   19 1.972404 2.008396 1.991781 -4.225358e-02 0.07014377 -0.181230969
#> 350   18   19 2.008396 2.041395 2.025010 -5.075934e-02 0.07290779 -0.191604843
#> 351   18   19 2.041395 2.076143 2.057780 -5.829908e-02 0.07586152 -0.200409727
#> 352   18   19 2.076143 2.117286 2.094506 -6.534397e-02 0.07936623 -0.199565562
#> 353   18   19 2.117286 2.163326 2.140066 -7.148000e-02 0.08371057 -0.199005099
#> 354   18   19 2.163326 2.205605 2.186586 -7.430575e-02 0.08767516 -0.195688870
#> 355   18   19 2.205605 2.246900 2.224624 -7.390236e-02 0.09025189 -0.197205504
#> 356   18   19 2.246900 2.293677 2.269176 -7.048117e-02 0.09231373 -0.196312228
#> 357   18   19 2.293677 2.343877 2.318177 -6.362905e-02 0.09339615 -0.190016538
#> 358   18   19 2.343877 2.403865 2.369576 -5.404315e-02 0.09347350 -0.185449219
#> 359   18   19 2.403865 2.496138 2.438154 -3.964360e-02 0.09263517 -0.177929653
#> 360   18   19 2.496138 2.627070 2.554122 -1.697616e-02 0.09065120 -0.152050869
#> 361   18   19 2.627070 3.622562 2.700018  3.819461e-03 0.08940820 -0.136969630
#> 362   19   20 1.062245 1.699981 1.648694  1.041855e-02 0.03244932 -0.047257657
#> 363   19   20 1.699981 1.775368 1.751268  6.010645e-03 0.04775313 -0.090997142
#> 364   19   20 1.775368 1.835269 1.799468 -6.796617e-04 0.05346167 -0.115971691
#> 365   19   20 1.835269 1.892682 1.871069 -1.621890e-02 0.05938775 -0.138176012
#> 366   19   20 1.892682 1.933662 1.914296 -2.800160e-02 0.06141716 -0.150206637
#> 367   19   20 1.933662 1.972404 1.953028 -3.927751e-02 0.06230557 -0.159500178
#> 368   19   20 1.972404 2.008396 1.991781 -5.052850e-02 0.06245252 -0.166794657
#> 369   19   20 2.008396 2.041395 2.025010 -5.963555e-02 0.06215184 -0.171219577
#> 370   19   20 2.041395 2.076143 2.057780 -6.771933e-02 0.06164645 -0.176419354
#> 371   19   20 2.076143 2.117286 2.094506 -7.530721e-02 0.06103870 -0.180384208
#> 372   19   20 2.117286 2.163326 2.140066 -8.201207e-02 0.06047283 -0.184165082
#> 373   19   20 2.163326 2.205605 2.186586 -8.530086e-02 0.06022176 -0.193046993
#> 374   19   20 2.205605 2.246900 2.224624 -8.519545e-02 0.06019239 -0.195855664
#> 375   19   20 2.246900 2.293677 2.269176 -8.204418e-02 0.06019253 -0.192654511
#> 376   19   20 2.293677 2.343877 2.318177 -7.540861e-02 0.06007679 -0.185995575
#> 377   19   20 2.343877 2.403865 2.369576 -6.598049e-02 0.05981443 -0.178968574
#> 378   19   20 2.403865 2.496138 2.438154 -5.171302e-02 0.05948631 -0.173540414
#> 379   19   20 2.496138 2.627070 2.554122 -2.914764e-02 0.05946224 -0.144822093
#> 380   19   20 2.627070 3.622562 2.700018 -8.385808e-03 0.06115914 -0.112320935
#> 381   20   21 1.062245 1.699981 1.648694  9.012642e-03 0.03017276 -0.047257657
#> 382   20   21 1.699981 1.775368 1.751268  3.603025e-03 0.04394810 -0.090997142
#> 383   20   21 1.775368 1.835269 1.799468 -3.610148e-03 0.04903710 -0.115971691
#> 384   20   21 1.835269 1.892682 1.871069 -1.994824e-02 0.05425810 -0.137750315
#> 385   20   21 1.892682 1.933662 1.914296 -3.221002e-02 0.05591282 -0.146065924
#> 386   20   21 1.933662 1.972404 1.953028 -4.390273e-02 0.05641658 -0.159284455
#> 387   20   21 1.972404 2.008396 1.991781 -5.555041e-02 0.05608322 -0.161731245
#> 388   20   21 2.008396 2.041395 2.025010 -6.497524e-02 0.05528766 -0.169866047
#> 389   20   21 2.041395 2.076143 2.057780 -7.334757e-02 0.05424357 -0.173262165
#> 390   20   21 2.076143 2.117286 2.094506 -8.122569e-02 0.05303054 -0.176145355
#> 391   20   21 2.117286 2.163326 2.140066 -8.823929e-02 0.05182633 -0.184068473
#> 392   20   21 2.163326 2.205605 2.186586 -9.178668e-02 0.05116286 -0.190610715
#> 393   20   21 2.205605 2.246900 2.224624 -9.185524e-02 0.05100011 -0.192993800
#> 394   20   21 2.246900 2.293677 2.269176 -8.887304e-02 0.05104058 -0.191422853
#> 395   20   21 2.293677 2.343877 2.318177 -8.239082e-02 0.05113577 -0.184196806
#> 396   20   21 2.343877 2.403865 2.369576 -7.309726e-02 0.05119566 -0.175390713
#> 397   20   21 2.403865 2.496138 2.438154 -5.897802e-02 0.05133687 -0.163871864
#> 398   20   21 2.496138 2.627070 2.554122 -3.658899e-02 0.05185986 -0.144731377
#> 399   20   21 2.627070 3.622562 2.700018 -1.592532e-02 0.05373974 -0.112426292
#> 400   21   22 1.062245 1.699981 1.648694  8.770280e-03 0.03029738 -0.047257657
#> 401   21   22 1.699981 1.775368 1.751268  3.155787e-03 0.04418817 -0.090997142
#> 402   21   22 1.775368 1.835269 1.799468 -4.154517e-03 0.04931703 -0.115971691
#> 403   21   22 1.835269 1.892682 1.871069 -2.061756e-02 0.05453200 -0.137750315
#> 404   21   22 1.892682 1.933662 1.914296 -3.294221e-02 0.05613247 -0.146065924
#> 405   21   22 1.933662 1.972404 1.953028 -4.468753e-02 0.05655869 -0.159284455
#> 406   21   22 1.972404 2.008396 1.991781 -5.639093e-02 0.05613226 -0.161731245
#> 407   21   22 2.008396 2.041395 2.025010 -6.587204e-02 0.05525727 -0.169866047
#> 408   21   22 2.041395 2.076143 2.057780 -7.431280e-02 0.05414700 -0.173262165
#> 409   21   22 2.076143 2.117286 2.094506 -8.228798e-02 0.05288500 -0.176145355
#> 410   21   22 2.117286 2.163326 2.140066 -8.945669e-02 0.05166312 -0.184068473
#> 411   21   22 2.163326 2.205605 2.186586 -9.320139e-02 0.05101792 -0.190610715
#> 412   21   22 2.205605 2.246900 2.224624 -9.345418e-02 0.05087730 -0.192993800
#> 413   21   22 2.246900 2.293677 2.269176 -9.070101e-02 0.05093139 -0.191422853
#> 414   21   22 2.293677 2.343877 2.318177 -8.446677e-02 0.05101693 -0.184196806
#> 415   21   22 2.343877 2.403865 2.369576 -7.540444e-02 0.05104603 -0.175390713
#> 416   21   22 2.403865 2.496138 2.438154 -6.151540e-02 0.05112978 -0.163871864
#> 417   21   22 2.496138 2.627070 2.554122 -3.928588e-02 0.05144815 -0.144731377
#> 418   21   22 2.627070 3.622562 2.700018 -1.855400e-02 0.05275749 -0.112426292
#> 419   22   23 1.062245 1.699981 1.648694  7.785473e-03 0.02959043 -0.047258139
#> 420   22   23 1.699981 1.775368 1.751268  1.515347e-03 0.04333158 -0.090999575
#> 421   22   23 1.775368 1.835269 1.799468 -6.089428e-03 0.04858352 -0.115971693
#> 422   22   23 1.835269 1.892682 1.871069 -2.291588e-02 0.05418263 -0.137750604
#> 423   22   23 1.892682 1.933662 1.914296 -3.540386e-02 0.05604251 -0.150048053
#> 424   22   23 1.933662 1.972404 1.953028 -4.725815e-02 0.05665217 -0.159305938
#> 425   22   23 1.972404 2.008396 1.991781 -5.903793e-02 0.05632445 -0.166605584
#> 426   22   23 2.008396 2.041395 2.025010 -6.856191e-02 0.05545329 -0.170989644
#> 427   22   23 2.041395 2.076143 2.057780 -7.702804e-02 0.05427729 -0.176152172
#> 428   22   23 2.076143 2.117286 2.094506 -8.501609e-02 0.05288148 -0.180384208
#> 429   22   23 2.117286 2.163326 2.140066 -9.218504e-02 0.05146501 -0.184218594
#> 430   22   23 2.163326 2.205605 2.186586 -9.592042e-02 0.05067247 -0.190720251
#> 431   22   23 2.205605 2.246900 2.224624 -9.616384e-02 0.05049503 -0.193182149
#> 432   22   23 2.246900 2.293677 2.269176 -9.340226e-02 0.05061477 -0.191760501
#> 433   22   23 2.293677 2.343877 2.318177 -8.716525e-02 0.05088444 -0.184798189
#> 434   22   23 2.343877 2.403865 2.369576 -7.810827e-02 0.05117920 -0.175390713
#> 435   22   23 2.403865 2.496138 2.438154 -6.423710e-02 0.05162214 -0.164878538
#> 436   22   23 2.496138 2.627070 2.554122 -4.205743e-02 0.05223016 -0.145566939
#> 437   22   23 2.627070 3.622562 2.700018 -2.143065e-02 0.05304666 -0.121190383
#> 438   23   24 1.062245 1.699981 1.648694  7.266098e-03 0.02910898 -0.045748963
#> 439   23   24 1.699981 1.775368 1.751268  9.312121e-04 0.04212052 -0.078319941
#> 440   23   24 1.775368 1.835269 1.799468 -6.601456e-03 0.04681919 -0.108115134
#> 441   23   24 1.835269 1.892682 1.871069 -2.319125e-02 0.05142430 -0.137750604
#> 442   23   24 1.892682 1.933662 1.914296 -3.547877e-02 0.05269321 -0.146066678
#> 443   23   24 1.933662 1.972404 1.953028 -4.713374e-02 0.05286387 -0.158214145
#> 444   23   24 1.972404 2.008396 1.991781 -5.870955e-02 0.05224165 -0.161731245
#> 445   23   24 2.008396 2.041395 2.025010 -6.806423e-02 0.05126503 -0.169866047
#> 446   23   24 2.041395 2.076143 2.057780 -7.637459e-02 0.05013022 -0.173262165
#> 447   23   24 2.076143 2.117286 2.094506 -8.420594e-02 0.04894222 -0.176145355
#> 448   23   24 2.117286 2.163326 2.140066 -9.121030e-02 0.04795740 -0.184069845
#> 449   23   24 2.163326 2.205605 2.186586 -9.481184e-02 0.04767397 -0.189575542
#> 450   23   24 2.205605 2.246900 2.224624 -9.496942e-02 0.04786333 -0.184813729
#> 451   23   24 2.246900 2.293677 2.269176 -9.213077e-02 0.04828362 -0.185548035
#> 452   23   24 2.293677 2.343877 2.318177 -8.583366e-02 0.04870029 -0.180714532
#> 453   23   24 2.343877 2.403865 2.369576 -7.673638e-02 0.04897179 -0.174485339
#> 454   23   24 2.403865 2.496138 2.438154 -6.283993e-02 0.04919209 -0.163651833
#> 455   23   24 2.496138 2.627070 2.554122 -4.067020e-02 0.04915784 -0.144731377
#> 456   23   24 2.627070 3.622562 2.700018 -2.010851e-02 0.04910011 -0.112346082
#> 457   24   25 1.062245 1.699981 1.648694  6.660874e-03 0.02909314 -0.045748963
#> 458   24   25 1.699981 1.775368 1.751268  2.266513e-05 0.04212602 -0.078319941
#> 459   24   25 1.775368 1.835269 1.799468 -7.582780e-03 0.04685127 -0.108115134
#> 460   24   25 1.835269 1.892682 1.871069 -2.415384e-02 0.05146122 -0.137750604
#> 461   24   25 1.892682 1.933662 1.914296 -3.636119e-02 0.05267586 -0.146066678
#> 462   24   25 1.933662 1.972404 1.953028 -4.791395e-02 0.05274737 -0.158214145
#> 463   24   25 1.972404 2.008396 1.991781 -5.937340e-02 0.05198101 -0.161731245
#> 464   24   25 2.008396 2.041395 2.025010 -6.862790e-02 0.05085597 -0.169866047
#> 465   24   25 2.041395 2.076143 2.057780 -7.684694e-02 0.04956802 -0.173262165
#> 466   24   25 2.076143 2.117286 2.094506 -8.459112e-02 0.04822289 -0.176145355
#> 467   24   25 2.117286 2.163326 2.140066 -9.151503e-02 0.04709878 -0.184069845
#> 468   24   25 2.163326 2.205605 2.186586 -9.506685e-02 0.04675835 -0.189575542
#> 469   24   25 2.205605 2.246900 2.224624 -9.520560e-02 0.04695663 -0.184813729
#> 470   24   25 2.246900 2.293677 2.269176 -9.236562e-02 0.04742061 -0.187407334
#> 471   24   25 2.293677 2.343877 2.318177 -8.608792e-02 0.04788576 -0.184798189
#> 472   24   25 2.343877 2.403865 2.369576 -7.703015e-02 0.04817642 -0.175390713
#> 473   24   25 2.403865 2.496138 2.438154 -6.321198e-02 0.04836117 -0.164878538
#> 474   24   25 2.496138 2.627070 2.554122 -4.122064e-02 0.04818480 -0.144776091
#> 475   24   25 2.627070 3.622562 2.700018 -2.087812e-02 0.04799745 -0.117698249
#> 476   25   26 1.062245 1.699981 1.648694  6.102840e-03 0.02950960 -0.047258139
#> 477   25   26 1.699981 1.775368 1.751268 -8.184577e-04 0.04305668 -0.078478613
#> 478   25   26 1.775368 1.835269 1.799468 -8.494993e-03 0.04788151 -0.108044924
#> 479   25   26 1.835269 1.892682 1.871069 -2.507263e-02 0.05229689 -0.128656421
#> 480   25   26 1.892682 1.933662 1.914296 -3.724168e-02 0.05321877 -0.139284967
#> 481   25   26 1.933662 1.972404 1.953028 -4.875174e-02 0.05295561 -0.158214947
#> 482   25   26 1.972404 2.008396 1.991781 -6.017615e-02 0.05180385 -0.161732534
#> 483   25   26 2.008396 2.041395 2.025010 -6.941597e-02 0.05030748 -0.169867911
#> 484   25   26 2.041395 2.076143 2.057780 -7.763918e-02 0.04861269 -0.173363216
#> 485   25   26 2.076143 2.117286 2.094506 -8.541139e-02 0.04677146 -0.176145355
#> 486   25   26 2.117286 2.163326 2.140066 -9.240041e-02 0.04502644 -0.183713271
#> 487   25   26 2.163326 2.205605 2.186586 -9.604280e-02 0.04415474 -0.183871379
#> 488   25   26 2.205605 2.246900 2.224624 -9.626424e-02 0.04406921 -0.184459639
#> 489   25   26 2.246900 2.293677 2.269176 -9.352132e-02 0.04440696 -0.185436945
#> 490   25   26 2.293677 2.343877 2.318177 -8.734208e-02 0.04497485 -0.180742718
#> 491   25   26 2.343877 2.403865 2.369576 -7.837320e-02 0.04558918 -0.175390713
#> 492   25   26 2.403865 2.496138 2.438154 -6.465231e-02 0.04640417 -0.164878538
#> 493   25   26 2.496138 2.627070 2.554122 -4.281146e-02 0.04722259 -0.144776091
#> 494   25   26 2.627070 3.622562 2.700018 -2.272572e-02 0.04747271 -0.117715297
#> 495   26   27 1.062245 1.699981 1.648694  5.877574e-03 0.02867473 -0.047258139
#> 496   26   27 1.699981 1.775368 1.751268 -1.023194e-03 0.04187991 -0.076719557
#> 497   26   27 1.775368 1.835269 1.799468 -8.607950e-03 0.04657632 -0.099264589
#> 498   26   27 1.835269 1.892682 1.871069 -2.492288e-02 0.05089002 -0.125912713
#> 499   26   27 1.892682 1.933662 1.914296 -3.686378e-02 0.05185036 -0.134678851
#> 500   26   27 1.933662 1.972404 1.953028 -4.813642e-02 0.05171773 -0.142862216
#> 501   26   27 1.972404 2.008396 1.991781 -5.930632e-02 0.05079843 -0.152119496
#> 502   26   27 2.008396 2.041395 2.025010 -6.832668e-02 0.04957397 -0.159338520
#> 503   26   27 2.041395 2.076143 2.057780 -7.634294e-02 0.04818892 -0.166989664
#> 504   26   27 2.076143 2.117286 2.094506 -8.390517e-02 0.04669896 -0.170002356
#> 505   26   27 2.117286 2.163326 2.140066 -9.067887e-02 0.04531104 -0.174070691
#> 506   26   27 2.163326 2.205605 2.186586 -9.416101e-02 0.04463593 -0.173592564
#> 507   26   27 2.205605 2.246900 2.224624 -9.429559e-02 0.04457697 -0.173238478
#> 508   26   27 2.246900 2.293677 2.269176 -9.149435e-02 0.04483885 -0.172058375
#> 509   26   27 2.293677 2.343877 2.318177 -8.529096e-02 0.04527249 -0.173116276
#> 510   26   27 2.343877 2.403865 2.369576 -7.632234e-02 0.04576901 -0.169421336
#> 511   26   27 2.403865 2.496138 2.438154 -6.261053e-02 0.04653263 -0.162433205
#> 512   26   27 2.496138 2.627070 2.554122 -4.073613e-02 0.04756070 -0.137845597
#> 513   26   27 2.627070 3.622562 2.700018 -2.049635e-02 0.04858649 -0.114038739
#> 514   27   28 1.062245 1.699981 1.648694  5.903596e-03 0.02869072 -0.047258139
#> 515   27   28 1.699981 1.775368 1.751268 -9.290913e-04 0.04196555 -0.080830172
#> 516   27   28 1.775368 1.835269 1.799468 -8.452696e-03 0.04673016 -0.112060133
#> 517   27   28 1.835269 1.892682 1.871069 -2.463169e-02 0.05118615 -0.128656421
#> 518   27   28 1.892682 1.933662 1.914296 -3.646412e-02 0.05224220 -0.139284967
#> 519   27   28 1.933662 1.972404 1.953028 -4.762550e-02 0.05218768 -0.158214947
#> 520   27   28 1.972404 2.008396 1.991781 -5.867515e-02 0.05132624 -0.160031261
#> 521   27   28 2.008396 2.041395 2.025010 -6.758952e-02 0.05012438 -0.163150808
#> 522   27   28 2.041395 2.076143 2.057780 -7.550281e-02 0.04872704 -0.168369344
#> 523   27   28 2.076143 2.117286 2.094506 -8.295638e-02 0.04717140 -0.174500290
#> 524   27   28 2.117286 2.163326 2.140066 -8.961244e-02 0.04561545 -0.174271320
#> 525   27   28 2.163326 2.205605 2.186586 -9.300104e-02 0.04467725 -0.173592564
#> 526   27   28 2.205605 2.246900 2.224624 -9.308179e-02 0.04435616 -0.171311521
#> 527   27   28 2.246900 2.293677 2.269176 -9.024314e-02 0.04428951 -0.171836856
#> 528   27   28 2.293677 2.343877 2.318177 -8.402620e-02 0.04437106 -0.168867483
#> 529   27   28 2.343877 2.403865 2.369576 -7.506565e-02 0.04454382 -0.159744848
#> 530   27   28 2.403865 2.496138 2.438154 -6.138174e-02 0.04499823 -0.150565960
#> 531   27   28 2.496138 2.627070 2.554122 -3.954998e-02 0.04586602 -0.115017384
#> 532   27   28 2.627070 3.622562 2.700018 -1.932439e-02 0.04707829 -0.104349748
#> 533   28   29 1.062245 1.699981 1.648694  6.181583e-03 0.02873526 -0.047258139
#> 534   28   29 1.699981 1.775368 1.751268 -3.936585e-04 0.04197383 -0.076508504
#> 535   28   29 1.775368 1.835269 1.799468 -7.765743e-03 0.04666742 -0.099004202
#> 536   28   29 1.835269 1.892682 1.871069 -2.369667e-02 0.05094352 -0.115678333
#> 537   28   29 1.892682 1.933662 1.914296 -3.537207e-02 0.05187065 -0.134678851
#> 538   28   29 1.933662 1.972404 1.953028 -4.638999e-02 0.05171385 -0.140206620
#> 539   28   29 1.972404 2.008396 1.991781 -5.729294e-02 0.05078573 -0.152119646
#> 540   28   29 2.008396 2.041395 2.025010 -6.607758e-02 0.04957061 -0.159338520
#> 541   28   29 2.041395 2.076143 2.057780 -7.385782e-02 0.04820993 -0.166989664
#> 542   28   29 2.076143 2.117286 2.094506 -8.115483e-02 0.04675940 -0.170002356
#> 543   28   29 2.117286 2.163326 2.140066 -8.760558e-02 0.04541995 -0.174049063
#> 544   28   29 2.163326 2.205605 2.186586 -9.077600e-02 0.04476290 -0.173592564
#> 545   28   29 2.205605 2.246900 2.224624 -9.067867e-02 0.04467076 -0.171311521
#> 546   28   29 2.246900 2.293677 2.269176 -8.764247e-02 0.04481669 -0.171836856
#> 547   28   29 2.293677 2.343877 2.318177 -8.123688e-02 0.04501605 -0.168867483
#> 548   28   29 2.343877 2.403865 2.369576 -7.212719e-02 0.04517026 -0.159741305
#> 549   28   29 2.403865 2.496138 2.438154 -5.834335e-02 0.04544946 -0.150565960
#> 550   28   29 2.496138 2.627070 2.554122 -3.662630e-02 0.04604697 -0.115017384
#> 551   28   29 2.627070 3.622562 2.700018 -1.693793e-02 0.04725857 -0.104349748
#> 552   29   30 1.062245 1.699981 1.648694  5.844573e-03 0.03013912 -0.050467233
#> 553   29   30 1.699981 1.775368 1.751268 -1.069047e-03 0.04415427 -0.088956679
#> 554   29   30 1.775368 1.835269 1.799468 -8.608247e-03 0.04909346 -0.103028360
#> 555   29   30 1.835269 1.892682 1.871069 -2.475128e-02 0.05349933 -0.126150412
#> 556   29   30 1.892682 1.933662 1.914296 -3.652211e-02 0.05439377 -0.139284967
#> 557   29   30 1.933662 1.972404 1.953028 -4.760440e-02 0.05418600 -0.158214947
#> 558   29   30 1.972404 2.008396 1.991781 -5.855620e-02 0.05323578 -0.160037112
#> 559   29   30 2.008396 2.041395 2.025010 -6.737547e-02 0.05205646 -0.163150808
#> 560   29   30 2.041395 2.076143 2.057780 -7.518821e-02 0.05079525 -0.168369344
#> 561   29   30 2.076143 2.117286 2.094506 -8.252490e-02 0.04952694 -0.174500290
#> 562   29   30 2.117286 2.163326 2.140066 -8.903588e-02 0.04847079 -0.175036166
#> 563   29   30 2.163326 2.205605 2.186586 -9.228364e-02 0.04808268 -0.176612147
#> 564   29   30 2.205605 2.246900 2.224624 -9.226004e-02 0.04814219 -0.173326977
#> 565   29   30 2.246900 2.293677 2.269176 -8.931685e-02 0.04836491 -0.172058375
#> 566   29   30 2.293677 2.343877 2.318177 -8.301234e-02 0.04853225 -0.173116276
#> 567   29   30 2.343877 2.403865 2.369576 -7.399541e-02 0.04855078 -0.169153853
#> 568   29   30 2.403865 2.496138 2.438154 -6.029859e-02 0.04855294 -0.152284515
#> 569   29   30 2.496138 2.627070 2.554122 -3.862365e-02 0.04873138 -0.137807569
#> 570   29   30 2.627070 3.622562 2.700018 -1.887970e-02 0.04978412 -0.110547440
#> 571   30   31 1.062245 1.699981 1.648694  7.276675e-03 0.02979671 -0.047293077
#> 572   30   31 1.699981 1.775368 1.751268  1.675156e-03 0.04348982 -0.076508504
#> 573   30   31 1.775368 1.835269 1.799468 -5.189598e-03 0.04836447 -0.099004202
#> 574   30   31 1.835269 1.892682 1.871069 -2.042839e-02 0.05292093 -0.115678333
#> 575   30   31 1.892682 1.933662 1.914296 -3.177876e-02 0.05409599 -0.128496113
#> 576   30   31 1.933662 1.972404 1.953028 -4.259475e-02 0.05427535 -0.138889798
#> 577   30   31 1.972404 2.008396 1.991781 -5.339462e-02 0.05383128 -0.150236348
#> 578   30   31 2.008396 2.041395 2.025010 -6.217372e-02 0.05315272 -0.165690210
#> 579   30   31 2.041395 2.076143 2.057780 -7.002100e-02 0.05240208 -0.173415716
#> 580   30   31 2.076143 2.117286 2.094506 -7.746941e-02 0.05166057 -0.176343158
#> 581   30   31 2.117286 2.163326 2.140066 -8.419580e-02 0.05109619 -0.183766068
#> 582   30   31 2.163326 2.205605 2.186586 -8.770983e-02 0.05097712 -0.176973651
#> 583   30   31 2.205605 2.246900 2.224624 -8.791036e-02 0.05111133 -0.173713098
#> 584   30   31 2.246900 2.293677 2.269176 -8.521315e-02 0.05132520 -0.172295145
#> 585   30   31 2.293677 2.343877 2.318177 -7.914181e-02 0.05142860 -0.173132472
#> 586   30   31 2.343877 2.403865 2.369576 -7.032258e-02 0.05134551 -0.164843848
#> 587   30   31 2.403865 2.496138 2.438154 -5.682946e-02 0.05116665 -0.154436638
#> 588   30   31 2.496138 2.627070 2.554122 -3.542908e-02 0.05117795 -0.144769208
#> 589   30   31 2.627070 3.622562 2.700018 -1.601768e-02 0.05282813 -0.120431907
#> 590   31   32 1.062245 1.699981 1.648694  7.248531e-03 0.02974494 -0.047293077
#> 591   31   32 1.699981 1.775368 1.751268  1.741716e-03 0.04328087 -0.077480587
#> 592   31   32 1.775368 1.835269 1.799468 -5.027490e-03 0.04804683 -0.100956370
#> 593   31   32 1.835269 1.892682 1.871069 -2.007806e-02 0.05246604 -0.115800683
#> 594   31   32 1.892682 1.933662 1.914296 -3.131116e-02 0.05361069 -0.128689894
#> 595   31   32 1.933662 1.972404 1.953028 -4.203934e-02 0.05380882 -0.139098826
#> 596   31   32 1.972404 2.008396 1.991781 -5.278294e-02 0.05342242 -0.150215468
#> 597   31   32 2.008396 2.041395 2.025010 -6.154840e-02 0.05281438 -0.165690210
#> 598   31   32 2.041395 2.076143 2.057780 -6.941915e-02 0.05214338 -0.173415716
#> 599   31   32 2.076143 2.117286 2.094506 -7.694048e-02 0.05149809 -0.176139603
#> 600   31   32 2.117286 2.163326 2.140066 -8.382488e-02 0.05107005 -0.183662704
#> 601   31   32 2.163326 2.205605 2.186586 -8.756918e-02 0.05113272 -0.178208224
#> 602   31   32 2.205605 2.246900 2.224624 -8.799941e-02 0.05146264 -0.182057143
#> 603   31   32 2.246900 2.293677 2.269176 -8.560420e-02 0.05195860 -0.187059960
#> 604   31   32 2.293677 2.343877 2.318177 -7.988670e-02 0.05240862 -0.175823247
#> 605   31   32 2.343877 2.403865 2.369576 -7.144103e-02 0.05267417 -0.175390713
#> 606   31   32 2.403865 2.496138 2.438154 -5.842030e-02 0.05285207 -0.164072214
#> 607   31   32 2.496138 2.627070 2.554122 -3.771994e-02 0.05317383 -0.153004713
#> 608   31   32 2.627070 3.622562 2.700018 -1.907665e-02 0.05489908 -0.136849330
#> 609   32   33 1.062245 1.699981 1.648694  6.110035e-03 0.02929191 -0.047293077
#> 610   32   33 1.699981 1.775368 1.751268  1.178658e-04 0.04271589 -0.079691733
#> 611   32   33 1.775368 1.835269 1.799468 -6.806197e-03 0.04746839 -0.100956370
#> 612   32   33 1.835269 1.892682 1.871069 -2.199094e-02 0.05192607 -0.125092971
#> 613   32   33 1.892682 1.933662 1.914296 -3.326868e-02 0.05312610 -0.139934850
#> 614   32   33 1.933662 1.972404 1.953028 -4.403209e-02 0.05338302 -0.148197785
#> 615   32   33 1.972404 2.008396 1.991781 -5.482121e-02 0.05304475 -0.150855943
#> 616   32   33 2.008396 2.041395 2.025010 -6.364301e-02 0.05245111 -0.167608625
#> 617   32   33 2.041395 2.076143 2.057780 -7.159024e-02 0.05175642 -0.173805083
#> 618   32   33 2.076143 2.117286 2.094506 -7.922449e-02 0.05103515 -0.177284723
#> 619   32   33 2.117286 2.163326 2.140066 -8.628683e-02 0.05046279 -0.183724579
#> 620   32   33 2.163326 2.205605 2.186586 -9.024606e-02 0.05038587 -0.186671117
#> 621   32   33 2.205605 2.246900 2.224624 -9.086577e-02 0.05066265 -0.183420589
#> 622   32   33 2.246900 2.293677 2.269176 -8.869380e-02 0.05120404 -0.190500310
#> 623   32   33 2.293677 2.343877 2.318177 -8.320648e-02 0.05183667 -0.190004123
#> 624   32   33 2.343877 2.403865 2.369576 -7.496842e-02 0.05239138 -0.179242978
#> 625   32   33 2.403865 2.496138 2.438154 -6.215337e-02 0.05296860 -0.164248280
#> 626   32   33 2.496138 2.627070 2.554122 -4.161683e-02 0.05358324 -0.153004713
#> 627   32   33 2.627070 3.622562 2.700018 -2.298962e-02 0.05476673 -0.139189672
#> 628   33   34 1.062245 1.699981 1.648694  5.616507e-03 0.02973345 -0.050808423
#> 629   33   34 1.699981 1.775368 1.751268 -9.893076e-04 0.04351807 -0.089001285
#> 630   33   34 1.775368 1.835269 1.799468 -8.279014e-03 0.04830140 -0.103028360
#> 631   33   34 1.835269 1.892682 1.871069 -2.403892e-02 0.05244797 -0.130922067
#> 632   33   34 1.892682 1.933662 1.914296 -3.565584e-02 0.05324340 -0.142512615
#> 633   33   34 1.933662 1.972404 1.953028 -4.670789e-02 0.05304391 -0.151938477
#> 634   33   34 1.972404 2.008396 1.991781 -5.777049e-02 0.05221640 -0.161904965
#> 635   33   34 2.008396 2.041395 2.025010 -6.681797e-02 0.05121631 -0.168711629
#> 636   33   34 2.041395 2.076143 2.057780 -7.498511e-02 0.05015535 -0.174629103
#> 637   33   34 2.076143 2.117286 2.094506 -8.287016e-02 0.04907603 -0.179919330
#> 638   33   34 2.117286 2.163326 2.140066 -9.026120e-02 0.04814239 -0.183724579
#> 639   33   34 2.163326 2.205605 2.186586 -9.458479e-02 0.04780908 -0.186671117
#> 640   33   34 2.205605 2.246900 2.224624 -9.552385e-02 0.04799557 -0.183435737
#> 641   33   34 2.246900 2.293677 2.269176 -9.374191e-02 0.04862184 -0.192359568
#> 642   33   34 2.293677 2.343877 2.318177 -8.868458e-02 0.04963116 -0.197139065
#> 643   33   34 2.343877 2.403865 2.369576 -8.087208e-02 0.05088030 -0.194809700
#> 644   33   34 2.403865 2.496138 2.438154 -6.854627e-02 0.05264597 -0.191368769
#> 645   33   34 2.496138 2.627070 2.554122 -4.861319e-02 0.05498161 -0.160372188
#> 646   33   34 2.627070 3.622562 2.700018 -3.054488e-02 0.05701353 -0.149863705
#> 647   34   35 1.062245 1.699981 1.648694  4.042787e-03 0.03811650 -0.052219721
#> 648   34   35 1.699981 1.775368 1.751268 -3.183381e-03 0.05563359 -0.101244769
#> 649   34   35 1.775368 1.835269 1.799468 -1.062877e-02 0.06175458 -0.116575678
#> 650   34   35 1.835269 1.892682 1.871069 -2.642328e-02 0.06739208 -0.138582178
#> 651   34   35 1.892682 1.933662 1.914296 -3.797041e-02 0.06893054 -0.150578864
#> 652   34   35 1.933662 1.972404 1.953028 -4.893201e-02 0.06940122 -0.159663398
#> 653   34   35 1.972404 2.008396 1.991781 -5.990643e-02 0.06931530 -0.166660764
#> 654   34   35 2.008396 2.041395 2.025010 -6.890082e-02 0.06903366 -0.170820910
#> 655   34   35 2.041395 2.076143 2.057780 -7.705039e-02 0.06875217 -0.174629103
#> 656   34   35 2.076143 2.117286 2.094506 -8.496718e-02 0.06859471 -0.184791153
#> 657   34   35 2.117286 2.163326 2.140066 -9.247687e-02 0.06877619 -0.186419402
#> 658   34   35 2.163326 2.205605 2.186586 -9.699916e-02 0.06940240 -0.193983985
#> 659   34   35 2.205605 2.246900 2.224624 -9.813879e-02 0.07014710 -0.197034502
#> 660   34   35 2.246900 2.293677 2.269176 -9.660730e-02 0.07111465 -0.196234429
#> 661   34   35 2.293677 2.343877 2.318177 -9.181197e-02 0.07210842 -0.197841843
#> 662   34   35 2.343877 2.403865 2.369576 -8.423037e-02 0.07296072 -0.194918606
#> 663   34   35 2.403865 2.496138 2.438154 -7.212029e-02 0.07380590 -0.199942813
#> 664   34   35 2.496138 2.627070 2.554122 -5.233812e-02 0.07456076 -0.169678179
#> 665   34   35 2.627070 3.622562 2.700018 -3.424938e-02 0.07538691 -0.162639241
#> 666   35   36 1.062245 1.699981 1.648694  6.293761e-03 0.03080285 -0.050790224
#> 667   35   36 1.699981 1.775368 1.751268  3.931440e-04 0.04557728 -0.086149687
#> 668   35   36 1.775368 1.835269 1.799468 -6.472502e-03 0.05106547 -0.101287042
#> 669   35   36 1.835269 1.892682 1.871069 -2.155304e-02 0.05665600 -0.130922067
#> 670   35   36 1.892682 1.933662 1.914296 -3.278414e-02 0.05857798 -0.142512615
#> 671   35   36 1.933662 1.972404 1.953028 -4.354993e-02 0.05954407 -0.151938477
#> 672   35   36 1.972404 2.008396 1.991781 -5.441795e-02 0.05999685 -0.164227981
#> 673   35   36 2.008396 2.041395 2.025010 -6.339415e-02 0.06013360 -0.170820910
#> 674   35   36 2.041395 2.076143 2.057780 -7.158956e-02 0.06015993 -0.173779829
#> 675   35   36 2.076143 2.117286 2.094506 -7.962527e-02 0.06016057 -0.180087587
#> 676   35   36 2.117286 2.163326 2.140066 -8.736037e-02 0.06020983 -0.195792028
#> 677   35   36 2.163326 2.205605 2.186586 -9.216612e-02 0.06035622 -0.205118300
#> 678   35   36 2.205605 2.246900 2.224624 -9.354864e-02 0.06054328 -0.210362568
#> 679   35   36 2.246900 2.293677 2.269176 -9.228585e-02 0.06081254 -0.213915219
#> 680   35   36 2.293677 2.343877 2.318177 -8.774221e-02 0.06114225 -0.214550359
#> 681   35   36 2.343877 2.403865 2.369576 -8.036326e-02 0.06153492 -0.205878826
#> 682   35   36 2.403865 2.496138 2.438154 -6.843458e-02 0.06218280 -0.199942813
#> 683   35   36 2.496138 2.627070 2.554122 -4.882118e-02 0.06322303 -0.169678179
#> 684   35   36 2.627070 3.622562 2.700018 -3.087053e-02 0.06443689 -0.162512097
#> 685   36   37 1.062245 1.699981 1.648694  5.420319e-03 0.03320348 -0.067485693
#> 686   36   37 1.699981 1.775368 1.751268 -1.693330e-03 0.05017517 -0.111497790
#> 687   36   37 1.775368 1.835269 1.799468 -9.452782e-03 0.05693219 -0.141973550
#> 688   36   37 1.835269 1.892682 1.871069 -2.631619e-02 0.06478678 -0.164576026
#> 689   36   37 1.892682 1.933662 1.914296 -3.887937e-02 0.06847101 -0.171474886
#> 690   36   37 1.933662 1.972404 1.953028 -5.097132e-02 0.07140717 -0.208729435
#> 691   36   37 1.972404 2.008396 1.991781 -6.325044e-02 0.07425376 -0.215442617
#> 692   36   37 2.008396 2.041395 2.025010 -7.346663e-02 0.07674418 -0.218955603
#> 693   36   37 2.041395 2.076143 2.057780 -8.287867e-02 0.07926629 -0.227150016
#> 694   36   37 2.076143 2.117286 2.094506 -9.223468e-02 0.08210661 -0.258260561
#> 695   36   37 2.117286 2.163326 2.140066 -1.014960e-01 0.08546589 -0.268854384
#> 696   36   37 2.163326 2.205605 2.186586 -1.076896e-01 0.08849190 -0.287543544
#> 697   36   37 2.205605 2.246900 2.224624 -1.100599e-01 0.09057396 -0.299535846
#> 698   36   37 2.246900 2.293677 2.269176 -1.097745e-01 0.09255528 -0.306628878
#> 699   36   37 2.293677 2.343877 2.318177 -1.060725e-01 0.09421749 -0.309633992
#> 700   36   37 2.343877 2.403865 2.369576 -9.929825e-02 0.09543831 -0.346561868
#> 701   36   37 2.403865 2.496138 2.438154 -8.769422e-02 0.09616048 -0.324612045
#> 702   36   37 2.496138 2.627070 2.554122 -6.727139e-02 0.09418926 -0.287511082
#> 703   36   37 2.627070 3.622562 2.700018 -4.636059e-02 0.09027960 -0.249838288
#>             CIMax Effect
#> 1    0.1264312369       
#> 2    0.1770875451       
#> 3    0.1954302951       
#> 4    0.1919565770       
#> 5    0.1948299894       
#> 6    0.1949972433       
#> 7    0.1987683898       
#> 8    0.1984985086       
#> 9    0.1970151564       
#> 10   0.1962519626       
#> 11   0.1967782555       
#> 12   0.1951067234       
#> 13   0.2045007637       
#> 14   0.2144059120       
#> 15   0.2130413523       
#> 16   0.2123803090       
#> 17   0.2311270760       
#> 18   0.2616266738       
#> 19   0.2728999587       
#> 20   0.1264312369       
#> 21   0.1770875517       
#> 22   0.1928641720       
#> 23   0.2267114995       
#> 24   0.2362881867       
#> 25   0.2311544181       
#> 26   0.2253028406       
#> 27   0.2206367918       
#> 28   0.2166055185       
#> 29   0.2119992863       
#> 30   0.2146522746       
#> 31   0.2161994538       
#> 32   0.2159201162       
#> 33   0.2191696203       
#> 34   0.2351234092       
#> 35   0.2502233338       
#> 36   0.2676650589       
#> 37   0.2972251329       
#> 38   0.3244755977       
#> 39   0.1241521628       
#> 40   0.1602819893       
#> 41   0.1858296505       
#> 42   0.2052261987       
#> 43   0.2043481023       
#> 44   0.1978839944       
#> 45   0.1993914670       
#> 46   0.1988248693       
#> 47   0.1968994892       
#> 48   0.1940807389       
#> 49   0.1905540437       
#> 50   0.1925381182       
#> 51   0.1919057272       
#> 52   0.1919744700       
#> 53   0.2057054288       
#> 54   0.2309438363       
#> 55   0.2651799710       
#> 56   0.2795893778       
#> 57   0.2830828246      +
#> 58   0.1241521628       
#> 59   0.1756537622       
#> 60   0.1928641716       
#> 61   0.2213585564       
#> 62   0.2325693338       
#> 63   0.2309314992       
#> 64   0.2250388456       
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#> 69   0.1951504440       
#> 70   0.2044644509       
#> 71   0.2187633035       
#> 72   0.2343730054       
#> 73   0.2493255669       
#> 74   0.2652198538       
#> 75   0.2795893778       
#> 76   0.2830828246       
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#> 88   0.1894536127       
#> 89   0.1867726821       
#> 90   0.1919744700       
#> 91   0.1971162319       
#> 92   0.2005505373       
#> 93   0.2175299010       
#> 94   0.2429138293      +
#> 95   0.2623426679      +
#> 96   0.1241521628       
#> 97   0.1602819893       
#> 98   0.1858296505       
#> 99   0.2086527292       
#> 100  0.2101120227       
#> 101  0.2191712623       
#> 102  0.2250388456       
#> 103  0.2174377601       
#> 104  0.2039301470       
#> 105  0.1945516880       
#> 106  0.1919649532       
#> 107  0.1935250414       
#> 108  0.2044644509       
#> 109  0.2187633035       
#> 110  0.2343730054       
#> 111  0.2493255669       
#> 112  0.2652198538       
#> 113  0.2795893778      +
#> 114  0.2830828246      +
#> 115  0.1241521628       
#> 116  0.1602819893       
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#> 120  0.2191712623       
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#> 126  0.1935250414       
#> 127  0.2044644509       
#> 128  0.2187633035       
#> 129  0.2343730054       
#> 130  0.2493255669       
#> 131  0.2652198538       
#> 132  0.2810586146      +
#> 133  0.3128780342      +
#> 134  0.1241521628       
#> 135  0.1602819893       
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#> 139  0.2191383508       
#> 140  0.2232743276       
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#> 143  0.1944657306       
#> 144  0.1918599743       
#> 145  0.1934021299       
#> 146  0.2043288316       
#> 147  0.2186155721       
#> 148  0.2342983604       
#> 149  0.2493138807       
#> 150  0.2652065326       
#> 151  0.2809803107      +
#> 152  0.3127890673      +
#> 153  0.1241521628       
#> 154  0.1602819893       
#> 155  0.1859282392       
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#> 157  0.2144874179       
#> 158  0.2191383508       
#> 159  0.2232743276       
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#> 168  0.2493138807       
#> 169  0.2652065326       
#> 170  0.2809803107       
#> 171  0.3127890673      +
#> 172  0.1241521628       
#> 173  0.1531550009       
#> 174  0.1835101937       
#> 175  0.1917987220       
#> 176  0.2005782730       
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#> 184  0.2088000732       
#> 185  0.2186155721       
#> 186  0.2342983604       
#> 187  0.2493138807       
#> 188  0.2639414550       
#> 189  0.2791995696       
#> 190  0.2823185199       
#> 191  0.1021203248       
#> 192  0.0895589568       
#> 193  0.0565959872       
#> 194 -0.0274254031      -
#> 195 -0.0901964992      -
#> 196 -0.1603305895      -
#> 197 -0.2450254231      -
#> 198 -0.3272413174      -
#> 199 -0.4137853500      -
#> 200 -0.5125419127      -
#> 201 -0.6055311315      -
#> 202 -0.6804249693      -
#> 203 -0.7276729979      -
#> 204 -0.7670582052      -
#> 205 -0.7927790005      -
#> 206 -0.8043189078      -
#> 207 -0.8036924343      -
#> 208 -0.7849510468      -
#> 209 -0.7615040876      -
#> 210  0.0926501904       
#> 211  0.0680476338       
#> 212  0.0325547246       
#> 213 -0.0315408930      -
#> 214 -0.1016670125      -
#> 215 -0.1603305895      -
#> 216 -0.2450254231      -
#> 217 -0.3272413174      -
#> 218 -0.4137853500      -
#> 219 -0.5125419127      -
#> 220 -0.6297609511      -
#> 221 -0.7344202329      -
#> 222 -0.8038587864      -
#> 223 -0.8546466505      -
#> 224 -0.8825699018      -
#> 225 -0.8945297151      -
#> 226 -0.8862862885      -
#> 227 -0.8695565533      -
#> 228 -0.8593883388      -
#> 229  0.0826200760       
#> 230  0.0655617447       
#> 231  0.0215616856       
#> 232 -0.0485953443      -
#> 233 -0.1393527190      -
#> 234 -0.2459844011      -
#> 235 -0.3447127957      -
#> 236 -0.4370517208      -
#> 237 -0.5244773422      -
#> 238 -0.6221708999      -
#> 239 -0.7441900637      -
#> 240 -0.8330984837      -
#> 241 -0.8959993139      -
#> 242 -0.9434815416      -
#> 243 -0.9712576351      -
#> 244 -0.9785494422      -
#> 245 -0.9579997515      -
#> 246 -0.9172828719      -
#> 247 -0.8863632245      -
#> 248  0.0774433582       
#> 249  0.0604794434       
#> 250  0.0165794715       
#> 251 -0.0837109403      -
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#> 255 -0.4370517208      -
#> 256 -0.5244773422      -
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#> 260 -0.8959993139      -
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#> 263 -0.9976741235      -
#> 264 -0.9965617826      -
#> 265 -0.9698583782      -
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#> 267  0.0750846048       
#> 268  0.0535911143       
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#> 270 -0.0837109403      -
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#> 275 -0.5244773422      -
#> 276 -0.6221708999      -
#> 277 -0.7441900637      -
#> 278 -0.8299685823      -
#> 279 -0.8814854923      -
#> 280 -0.9217008075      -
#> 281 -0.9437660345      -
#> 282 -0.9474169524      -
#> 283 -0.9439142631      -
#> 284 -0.9169844244      -
#> 285 -0.8863537592      -
#> 286  0.0922399582       
#> 287  0.1221072218       
#> 288  0.1245366371       
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#> 290  0.1129410094       
#> 291  0.1090681762       
#> 292  0.0992436555       
#> 293  0.0929941675       
#> 294  0.0891714574       
#> 295  0.0875980006       
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#> 297  0.0948716438       
#> 298  0.1002187513       
#> 299  0.1205835659       
#> 300  0.1352661146       
#> 301  0.1452735843       
#> 302  0.1546977768       
#> 303  0.1610936118       
#> 304  0.1865298742       
#> 305  0.0931807004       
#> 306  0.1277323150       
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#> 310  0.1157950908       
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#> 321  0.1562295463       
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#> 473  0.0296006618       
#> 474  0.0523210948       
#> 475  0.0630076222       
#> 476  0.0704045561       
#> 477  0.0812895761       
#> 478  0.0777173542       
#> 479  0.0672797767       
#> 480  0.0599361339       
#> 481  0.0489213637       
#> 482  0.0356359220       
#> 483  0.0244079891       
#> 484  0.0079098871       
#> 485 -0.0021111585      -
#> 486 -0.0163601625      -
#> 487 -0.0168950329      -
#> 488 -0.0197574767      -
#> 489 -0.0106269075      -
#> 490 -0.0049902490      -
#> 491  0.0079901367       
#> 492  0.0200089504       
#> 493  0.0357084605       
#> 494  0.0623907789       
#> 495  0.0681927655       
#> 496  0.0771976272       
#> 497  0.0760252596       
#> 498  0.0783580511       
#> 499  0.0577847736       
#> 500  0.0477019552       
#> 501  0.0344524947       
#> 502  0.0244339643       
#> 503  0.0079098871       
#> 504 -0.0019469533      -
#> 505 -0.0072866122      -
#> 506 -0.0096329042      -
#> 507 -0.0039152834      -
#> 508 -0.0034288767      -
#> 509  0.0040972358       
#> 510  0.0161830863       
#> 511  0.0353899610       
#> 512  0.0565914228       
#> 513  0.0738619985       
#> 514  0.0681927655       
#> 515  0.0771976272       
#> 516  0.0760252596       
#> 517  0.0783580511       
#> 518  0.0577847736       
#> 519  0.0477019552       
#> 520  0.0344524947       
#> 521  0.0244339643       
#> 522  0.0079098871       
#> 523 -0.0019469533      -
#> 524 -0.0072866122      -
#> 525 -0.0096329042      -
#> 526 -0.0088459461      -
#> 527 -0.0047306725      -
#> 528 -0.0024846761      -
#> 529  0.0083314095       
#> 530  0.0333211404       
#> 531  0.0565914228       
#> 532  0.0738619985       
#> 533  0.0681927655       
#> 534  0.0771976272       
#> 535  0.0760252596       
#> 536  0.0783580511       
#> 537  0.0577847736       
#> 538  0.0477019552       
#> 539  0.0344524947       
#> 540  0.0244339643       
#> 541  0.0129642325       
#> 542  0.0045806579       
#> 543 -0.0007225347      -
#> 544 -0.0029774824      -
#> 545 -0.0038936374      -
#> 546  0.0031534793       
#> 547  0.0067224319       
#> 548  0.0192880481       
#> 549  0.0411716115       
#> 550  0.0625481584       
#> 551  0.0810375341       
#> 552  0.0704045561       
#> 553  0.0812895761       
#> 554  0.0777173542       
#> 555  0.0783580511       
#> 556  0.0577847736       
#> 557  0.0477019552       
#> 558  0.0344524947       
#> 559  0.0244339643       
#> 560  0.0129642325       
#> 561  0.0045806579       
#> 562 -0.0007225347      -
#> 563 -0.0029774824      -
#> 564 -0.0038936374      -
#> 565  0.0031534793       
#> 566  0.0067654260       
#> 567  0.0125582093       
#> 568  0.0336832228       
#> 569  0.0565914228       
#> 570  0.0722497019       
#> 571  0.0706027009       
#> 572  0.0907424496       
#> 573  0.0847205971       
#> 574  0.0803367496       
#> 575  0.0654058634       
#> 576  0.0505205719       
#> 577  0.0357973511       
#> 578  0.0265132350       
#> 579  0.0152894592       
#> 580  0.0092367169       
#> 581  0.0055728834       
#> 582  0.0033006905       
#> 583  0.0054607987       
#> 584  0.0138409374       
#> 585  0.0249734647       
#> 586  0.0373991050       
#> 587  0.0498339000       
#> 588  0.0621196887       
#> 589  0.0810375341       
#> 590  0.0706027009       
#> 591  0.0907424496       
#> 592  0.0847205971       
#> 593  0.0806122106       
#> 594  0.0744256559       
#> 595  0.0619900982       
#> 596  0.0405502304       
#> 597  0.0290199262       
#> 598  0.0249820021       
#> 599  0.0221403809       
#> 600  0.0212202417       
#> 601  0.0229915506       
#> 602  0.0260106384       
#> 603  0.0306569998       
#> 604  0.0301864205       
#> 605  0.0398102393       
#> 606  0.0498339000       
#> 607  0.0621196887       
#> 608  0.0827277229       
#> 609  0.0679652275       
#> 610  0.0813097641       
#> 611  0.0777518246       
#> 612  0.0783580511       
#> 613  0.0579404524       
#> 614  0.0478597468       
#> 615  0.0328779203       
#> 616  0.0229581050       
#> 617  0.0129546397       
#> 618  0.0089147985       
#> 619  0.0053372134       
#> 620  0.0030388247       
#> 621  0.0023433501       
#> 622  0.0075774422       
#> 623  0.0068470607       
#> 624  0.0140527810       
#> 625  0.0266789809       
#> 626  0.0429896753       
#> 627  0.0724327229       
#> 628  0.0679652275       
#> 629  0.0813097641       
#> 630  0.0777518246       
#> 631  0.0629175701       
#> 632  0.0539938804       
#> 633  0.0452122840       
#> 634  0.0316544440       
#> 635  0.0175357869       
#> 636  0.0086756836       
#> 637  0.0034864746       
#> 638 -0.0013908498      -
#> 639 -0.0060955663      -
#> 640 -0.0037492635      -
#> 641  0.0005298467       
#> 642  0.0021779789       
#> 643  0.0080847165       
#> 644  0.0245118118       
#> 645  0.0412951382       
#> 646  0.0601876611       
#> 647  0.0679652275       
#> 648  0.0813097572       
#> 649  0.0777517996       
#> 650  0.0717790407       
#> 651  0.0578746508       
#> 652  0.0478597468       
#> 653  0.0328779203       
#> 654  0.0175357869       
#> 655  0.0091039817       
#> 656  0.0083595110       
#> 657  0.0019917941       
#> 658  0.0029310338       
#> 659  0.0023358262       
#> 660  0.0031528751       
#> 661  0.0064847729       
#> 662  0.0120146474       
#> 663  0.0266789809       
#> 664  0.0427766501       
#> 665  0.0628821703       
#> 666  0.0707404703       
#> 667  0.0933203329       
#> 668  0.1054765527       
#> 669  0.0906944816       
#> 670  0.0806753356       
#> 671  0.0641913239       
#> 672  0.0502357385       
#> 673  0.0292227878       
#> 674  0.0150523316       
#> 675  0.0144418548       
#> 676  0.0167601651       
#> 677  0.0237827342       
#> 678  0.0283284885       
#> 679  0.0282143065       
#> 680  0.0375875171       
#> 681  0.0478009340       
#> 682  0.0550048537       
#> 683  0.0684412749       
#> 684  0.1101750875       
#> 685  0.0707404703       
#> 686  0.0933203329       
#> 687  0.1054765527       
#> 688  0.0906944816       
#> 689  0.0806753356       
#> 690  0.0733999653       
#> 691  0.0581579914       
#> 692  0.0563889800       
#> 693  0.0492105730       
#> 694  0.0423038068       
#> 695  0.0358031227       
#> 696  0.0315267498       
#> 697  0.0312670461       
#> 698  0.0373164502       
#> 699  0.0430501262       
#> 700  0.0489506346       
#> 701  0.0584916689       
#> 702  0.0745032221       
#> 703  0.1101750875       
#> 
#> $matfit
#>                        [,1]       [,2]       [,3]       [,4]       [,5]
#> 1.64869392029419 0.02412307 0.02872700 0.02999097 0.03075569 0.03156317
#> 1.75126810787332 0.03559290 0.04365589 0.04598885 0.04703621 0.04867841
#> 1.79946777896389 0.03926745 0.04901434 0.05193583 0.05302602 0.05514665
#> 1.87106930768594 0.04187020 0.05390946 0.05776211 0.05875379 0.06161767
#> 1.91429554166968 0.04181490 0.05504352 0.05947774 0.06030530 0.06360543
#> 1.95302761682418 0.04085366 0.05500586 0.05996703 0.06058242 0.06425116
#> 1.99178060312141 0.03918274 0.05412615 0.05961346 0.05996297 0.06397384
#> 2.02501049762032 0.03734160 0.05286339 0.05879351 0.05888192 0.06316388
#> 2.05778004489866 0.03534291 0.05135084 0.05770101 0.05751259 0.06204265
#> 2.09450607114123 0.03317352 0.04963400 0.05642211 0.05591447 0.06070207
#> 2.14006616349627 0.03116064 0.04805780 0.05531734 0.05442346 0.05950373
#> 2.18658617913116 0.03065410 0.04786908 0.05550058 0.05424889 0.05959898
#> 2.22462355152433 0.03189313 0.04928534 0.05712542 0.05562193 0.06116915
#> 2.26917603086292 0.03551964 0.05304550 0.06101850 0.05927262 0.06501883
#> 2.31817718775388 0.04210756 0.05972205 0.06771826 0.06576651 0.07168378
#> 2.36957596181032 0.05126015 0.06895154 0.07687110 0.07475300 0.08078793
#> 2.43815433799455 0.06515629 0.08302431 0.09076155 0.08845029 0.09454104
#> 2.55412171880947 0.08717379 0.10584559 0.11325181 0.11051756 0.11650064
#> 2.70001802940495 0.10695732 0.12768823 0.13463834 0.13108328 0.13683355
#>                        [,6]       [,7]       [,8]       [,9]      [,10]
#> 1.64869392029419 0.03189547 0.03191006 0.03187632 0.03136920 0.02910287
#> 1.75126810787332 0.04938349 0.04937266 0.04931655 0.04825358 0.04311190
#> 1.79946777896389 0.05613265 0.05610741 0.05603930 0.05460160 0.04759811
#> 1.87106930768594 0.06317794 0.06315175 0.06306116 0.06091206 0.05055088
#> 1.91429554166968 0.06559919 0.06559811 0.06548933 0.06282152 0.05012156
#> 1.95302761682418 0.06667482 0.06671967 0.06659081 0.06340890 0.04845969
#> 1.99178060312141 0.06684913 0.06696418 0.06681158 0.06308088 0.04579844
#> 2.02501049762032 0.06642811 0.06662150 0.06644606 0.06222989 0.04294376
#> 2.05778004489866 0.06567862 0.06596251 0.06576302 0.06106724 0.03986585
#> 2.09450607114123 0.06472699 0.06512237 0.06489523 0.05967615 0.03647521
#> 2.14006616349627 0.06395377 0.06449153 0.06423101 0.05840675 0.03304893
#> 2.18658617913116 0.06440596 0.06508088 0.06478964 0.05842039 0.03132038
#> 2.22462355152433 0.06620895 0.06698269 0.06667008 0.05991989 0.03176069
#> 2.26917603086292 0.07026967 0.07114015 0.07080749 0.06368720 0.03467104
#> 2.31817718775388 0.07710303 0.07805654 0.07770801 0.07026856 0.04069213
#> 2.36957596181032 0.08633083 0.08734948 0.08699056 0.07929911 0.04942127
#> 2.43815433799455 0.10019688 0.10127704 0.10091225 0.09298046 0.06292091
#> 2.55412171880947 0.12229692 0.12343448 0.12307428 0.11486481 0.08460049
#> 2.70001802940495 0.14280201 0.14394581 0.14360558 0.13509429 0.10452071
#>                        [,11]       [,12]        [,13]       [,14]        [,15]
#> 1.64869392029419  0.01134135  0.01007792  0.006461242  0.00136579  0.001258851
#> 1.75126810787332 -0.02982666 -0.03220380 -0.038411926 -0.04727626 -0.047670429
#> 1.79946777896389 -0.07839959 -0.08142723 -0.088878339 -0.09951758 -0.100088443
#> 1.87106930768594 -0.19817932 -0.20223471 -0.211338752 -0.22426589 -0.225095678
#> 1.91429554166968 -0.29854838 -0.30319415 -0.313115480 -0.32713105 -0.328088535
#> 1.95302761682418 -0.40314320 -0.40825397 -0.418770293 -0.43355723 -0.434597978
#> 1.99178060312141 -0.51669403 -0.52218061 -0.533160163 -0.54853698 -0.549626638
#> 2.02501049762032 -0.61648243 -0.62220595 -0.633482797 -0.64923724 -0.650341250
#> 2.05778004489866 -0.71276875 -0.71864437 -0.730132736 -0.74616121 -0.747256934
#> 2.09450607114123 -0.81348281 -0.81943651 -0.831078698 -0.84731882 -0.848384179
#> 2.14006616349627 -0.92166488 -0.92759909 -0.939334080 -0.95572721 -0.956735519
#> 2.18658617913116 -1.00819112 -1.01400802 -1.025757259 -1.04221404 -1.043157786
#> 2.22462355152433 -1.06000477 -1.06568139 -1.077404094 -1.09386320 -1.094760124
#> 2.26917603086292 -1.10069064 -1.10618013 -1.117849778 -1.13427291 -1.135130456
#> 2.31817718775388 -1.12495688 -1.13023631 -1.141841887 -1.15819679 -1.159035502
#> 2.36957596181032 -1.13397803 -1.13904814 -1.150598700 -1.16687070 -1.167716638
#> 2.43815433799455 -1.13109589 -1.13591357 -1.147427730 -1.16360157 -1.164488264
#> 2.55412171880947 -1.11378411 -1.11825299 -1.129805300 -1.14590068 -1.146878069
#> 2.70001802940495 -1.09412716 -1.09833132 -1.110032257 -1.12615226 -1.127193752
#>                         [,16]        [,17]        [,18]        [,19]
#> 1.64869392029419  0.015767083  0.014972558  0.014500999  0.012420848
#> 1.75126810787332  0.014753903  0.013419606  0.012729434  0.009579168
#> 1.79946777896389  0.009365242  0.007960967  0.007205300  0.003766013
#> 1.87106930768594 -0.005128897 -0.006123081 -0.006927394 -0.010358154
#> 1.91429554166968 -0.016925604 -0.017280639 -0.018104576 -0.021257888
#> 1.95302761682418 -0.028623984 -0.028142570 -0.028997425 -0.031752309
#> 1.99178060312141 -0.040622340 -0.039084367 -0.039999329 -0.042253576
#> 2.02501049762032 -0.050554831 -0.047979716 -0.048979371 -0.050759345
#> 2.05778004489866 -0.059544104 -0.055877768 -0.056995439 -0.058299084
#> 2.09450607114123 -0.068167074 -0.063261375 -0.064551111 -0.065343966
#> 2.14006616349627 -0.076062882 -0.069696456 -0.071245670 -0.071480003
#> 2.18658617913116 -0.080355374 -0.072687161 -0.074526333 -0.074305753
#> 2.22462355152433 -0.080877069 -0.072333337 -0.074403507 -0.073902365
#> 2.26917603086292 -0.078248497 -0.068908862 -0.071216925 -0.070481171
#> 2.31817718775388 -0.071976857 -0.062023280 -0.064530305 -0.063629051
#> 2.36957596181032 -0.062777682 -0.052412450 -0.055047223 -0.054043153
#> 2.43815433799455 -0.048712287 -0.038037211 -0.040723878 -0.039643597
#> 2.55412171880947 -0.026498721 -0.015573768 -0.018139702 -0.016976155
#> 2.70001802940495 -0.006267346  0.004811504  0.002535093  0.003819461
#>                          [,20]        [,21]        [,22]        [,23]
#> 1.64869392029419  0.0104185517  0.009012642  0.008770280  0.007785473
#> 1.75126810787332  0.0060106449  0.003603025  0.003155787  0.001515347
#> 1.79946777896389 -0.0006796617 -0.003610148 -0.004154517 -0.006089428
#> 1.87106930768594 -0.0162189048 -0.019948237 -0.020617558 -0.022915879
#> 1.91429554166968 -0.0280015994 -0.032210019 -0.032942210 -0.035403857
#> 1.95302761682418 -0.0392775128 -0.043902728 -0.044687527 -0.047258155
#> 1.99178060312141 -0.0505285009 -0.055550409 -0.056390931 -0.059037930
#> 2.02501049762032 -0.0596355509 -0.064975244 -0.065872040 -0.068561908
#> 2.05778004489866 -0.0677193346 -0.073347569 -0.074312798 -0.077028037
#> 2.09450607114123 -0.0753072104 -0.081225691 -0.082287976 -0.085016089
#> 2.14006616349627 -0.0820120725 -0.088239293 -0.089456687 -0.092185036
#> 2.18658617913116 -0.0853008575 -0.091786677 -0.093201386 -0.095920415
#> 2.22462355152433 -0.0851954452 -0.091855240 -0.093454182 -0.096163843
#> 2.26917603086292 -0.0820441755 -0.088873045 -0.090701012 -0.093402261
#> 2.31817718775388 -0.0754086131 -0.082390820 -0.084466773 -0.087165245
#> 2.36957596181032 -0.0659804920 -0.073097263 -0.075404441 -0.078108268
#> 2.43815433799455 -0.0517130215 -0.058978022 -0.061515404 -0.064237102
#> 2.55412171880947 -0.0291476360 -0.036588994 -0.039285879 -0.042057427
#> 2.70001802940495 -0.0083858082 -0.015925316 -0.018554000 -0.021430652
#>                          [,24]         [,25]         [,26]        [,27]
#> 1.64869392029419  0.0072660980  6.660874e-03  0.0061028397  0.005877574
#> 1.75126810787332  0.0009312121  2.266513e-05 -0.0008184577 -0.001023194
#> 1.79946777896389 -0.0066014556 -7.582780e-03 -0.0084949928 -0.008607950
#> 1.87106930768594 -0.0231912529 -2.415384e-02 -0.0250726303 -0.024922882
#> 1.91429554166968 -0.0354787682 -3.636119e-02 -0.0372416772 -0.036863777
#> 1.95302761682418 -0.0471337418 -4.791395e-02 -0.0487517408 -0.048136415
#> 1.99178060312141 -0.0587095481 -5.937340e-02 -0.0601761488 -0.059306319
#> 2.02501049762032 -0.0680642258 -6.862790e-02 -0.0694159683 -0.068326677
#> 2.05778004489866 -0.0763745941 -7.684694e-02 -0.0776391777 -0.076342940
#> 2.09450607114123 -0.0842059379 -8.459112e-02 -0.0854113852 -0.083905170
#> 2.14006616349627 -0.0912103033 -9.151503e-02 -0.0924004140 -0.090678866
#> 2.18658617913116 -0.0948118407 -9.506685e-02 -0.0960428047 -0.094161006
#> 2.22462355152433 -0.0949694228 -9.520560e-02 -0.0962642389 -0.094295586
#> 2.26917603086292 -0.0921307710 -9.236562e-02 -0.0935213171 -0.091494349
#> 2.31817718775388 -0.0858336648 -8.608792e-02 -0.0873420794 -0.085290961
#> 2.36957596181032 -0.0767363808 -7.703015e-02 -0.0783731965 -0.076322338
#> 2.43815433799455 -0.0628399314 -6.321198e-02 -0.0646523090 -0.062610534
#> 2.55412171880947 -0.0406701999 -4.122064e-02 -0.0428114574 -0.040736127
#> 2.70001802940495 -0.0201085116 -2.087812e-02 -0.0227257202 -0.020496355
#>                          [,28]         [,29]        [,30]        [,31]
#> 1.64869392029419  0.0059035957  0.0061815830  0.005844573  0.007276675
#> 1.75126810787332 -0.0009290913 -0.0003936585 -0.001069047  0.001675156
#> 1.79946777896389 -0.0084526960 -0.0077657426 -0.008608247 -0.005189598
#> 1.87106930768594 -0.0246316878 -0.0236966746 -0.024751282 -0.020428387
#> 1.91429554166968 -0.0364641152 -0.0353720687 -0.036522113 -0.031778763
#> 1.95302761682418 -0.0476255048 -0.0463899944 -0.047604397 -0.042594753
#> 1.99178060312141 -0.0586751514 -0.0572929426 -0.058556202 -0.053394616
#> 2.02501049762032 -0.0675895175 -0.0660775776 -0.067375469 -0.062173720
#> 2.05778004489866 -0.0755028128 -0.0738578191 -0.075188207 -0.070020999
#> 2.09450607114123 -0.0829563798 -0.0811548269 -0.082524898 -0.077469409
#> 2.14006616349627 -0.0896124426 -0.0876055775 -0.089035879 -0.084195798
#> 2.18658617913116 -0.0930010354 -0.0907760039 -0.092283638 -0.087709832
#> 2.22462355152433 -0.0930817891 -0.0906786699 -0.092260036 -0.087910362
#> 2.26917603086292 -0.0902431368 -0.0876424692 -0.089316848 -0.085213153
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#> 2.55412171880947 -0.0395499820 -0.0366263013 -0.038623648 -0.035429075
#> 2.70001802940495 -0.0193243850 -0.0169379340 -0.018879701 -0.016017675
#>                         [,32]         [,33]         [,34]        [,35]
#> 1.64869392029419  0.007248531  0.0061100352  0.0056165075  0.004042787
#> 1.75126810787332  0.001741716  0.0001178658 -0.0009893076 -0.003183381
#> 1.79946777896389 -0.005027490 -0.0068061969 -0.0082790145 -0.010628773
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#> 1.91429554166968 -0.031311160 -0.0332686778 -0.0356558398 -0.037970410
#> 1.95302761682418 -0.042039342 -0.0440320886 -0.0467078924 -0.048932005
#> 1.99178060312141 -0.052782939 -0.0548212095 -0.0577704861 -0.059906433
#> 2.02501049762032 -0.061548403 -0.0636430127 -0.0668179680 -0.068900825
#> 2.05778004489866 -0.069419147 -0.0715902386 -0.0749851083 -0.077050393
#> 2.09450607114123 -0.076940478 -0.0792244947 -0.0828701633 -0.084967181
#> 2.14006616349627 -0.083824885 -0.0862868297 -0.0902612026 -0.092476865
#> 2.18658617913116 -0.087569176 -0.0902460645 -0.0945847904 -0.096999156
#> 2.22462355152433 -0.087999412 -0.0908657709 -0.0955238515 -0.098138788
#> 2.26917603086292 -0.085604195 -0.0886937965 -0.0937419100 -0.096607304
#> 2.31817718775388 -0.079886700 -0.0832064764 -0.0886845772 -0.091811969
#> 2.36957596181032 -0.071441026 -0.0749684210 -0.0808720836 -0.084230366
#> 2.43815433799455 -0.058420305 -0.0621533715 -0.0685462655 -0.072120289
#> 2.55412171880947 -0.037719940 -0.0416168342 -0.0486131924 -0.052338120
#> 2.70001802940495 -0.019076646 -0.0229896248 -0.0305448832 -0.034249376
#>                         [,36]        [,37]
#> 1.64869392029419  0.006293761  0.005420319
#> 1.75126810787332  0.000393144 -0.001693330
#> 1.79946777896389 -0.006472502 -0.009452782
#> 1.87106930768594 -0.021553037 -0.026316186
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#> 1.95302761682418 -0.043549928 -0.050971321
#> 1.99178060312141 -0.054417952 -0.063250440
#> 2.02501049762032 -0.063394146 -0.073466633
#> 2.05778004489866 -0.071589559 -0.082878667
#> 2.09450607114123 -0.079625268 -0.092234677
#> 2.14006616349627 -0.087360366 -0.101495960
#> 2.18658617913116 -0.092166122 -0.107689585
#> 2.22462355152433 -0.093548641 -0.110059859
#> 2.26917603086292 -0.092285847 -0.109774550
#> 2.31817718775388 -0.087742206 -0.106072501
#> 2.36957596181032 -0.080363265 -0.099298249
#> 2.43815433799455 -0.068434583 -0.087694224
#> 2.55412171880947 -0.048821175 -0.067271389
#> 2.70001802940495 -0.030870533 -0.046360595
#> 
#> $cilower
#>                         [,1]         [,2]         [,3]         [,4]        [,5]
#> 1.64869392029419 -0.05759987 -0.029945121 -0.028815465 -0.026142515 -0.02384072
#> 1.75126810787332 -0.10138492 -0.044574570 -0.040273910 -0.039869828 -0.02820735
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#> 2.55412171880947 -0.11613589 -0.025767870 -0.003674358 -0.014124040  0.00959631
#> 2.70001802940495 -0.09631822 -0.009846849  0.022609294 -0.003422141  0.01995476
#>                          [,6]         [,7]        [,8]        [,9]       [,10]
#> 1.64869392029419 -0.023840724 -0.023840724 -0.02384072 -0.02421006 -0.02994314
#> 1.75126810787332 -0.028207354 -0.028207354 -0.02820735 -0.03111346 -0.04581366
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#> 2.05778004489866 -0.049284694 -0.039392834 -0.03939283 -0.06218225 -0.26165220
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#> 2.26917603086292 -0.034460911 -0.034460911 -0.03797564 -0.05797328 -0.55363633
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#> 2.43815433799455 -0.003101263 -0.003101263 -0.01415977 -0.03126922 -0.57195982
#> 2.55412171880947  0.012977852  0.010093906  0.01009391 -0.01350017 -0.53986014
#> 2.70001802940495  0.034131469  0.030748617  0.03074862  0.01722321 -0.50999311
#>                        [,11]       [,12]       [,13]       [,14]       [,15]
#> 1.64869392029419 -0.04562781 -0.04714742 -0.04753288 -0.05231994 -0.05219522
#> 1.75126810787332 -0.11471273 -0.11726440 -0.11860367 -0.12921897 -0.12921897
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#> 2.26917603086292 -1.25896032 -1.25892526 -1.26145338 -1.31415529 -1.31107119
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#> 2.70001802940495 -1.26795061 -1.26364863 -1.26628824 -1.30378627 -1.30378627
#>                        [,16]       [,17]       [,18]       [,19]       [,20]
#> 1.64869392029419 -0.03833071 -0.03835087 -0.03863703 -0.03863703 -0.04725766
#> 1.75126810787332 -0.07572723 -0.07851291 -0.07849986 -0.07849986 -0.09099714
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#> 2.26917603086292 -0.31050850 -0.25023495 -0.19280418 -0.19631223 -0.19265451
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#> 2.70001802940495 -0.24995820 -0.19602399 -0.14378187 -0.13696963 -0.11232094
#>                        [,21]       [,22]       [,23]       [,24]       [,25]
#> 1.64869392029419 -0.04725766 -0.04725766 -0.04725814 -0.04574896 -0.04574896
#> 1.75126810787332 -0.09099714 -0.09099714 -0.09099957 -0.07831994 -0.07831994
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#> 2.70001802940495 -0.11242629 -0.11242629 -0.12119038 -0.11234608 -0.11769825
#>                        [,26]       [,27]       [,28]       [,29]       [,30]
#> 1.64869392029419 -0.04725814 -0.04725814 -0.04725814 -0.04725814 -0.05046723
#> 1.75126810787332 -0.07847861 -0.07671956 -0.08083017 -0.07650850 -0.08895668
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#> 1.91429554166968 -0.13928497 -0.13467885 -0.13928497 -0.13467885 -0.13928497
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#> 2.18658617913116 -0.18387138 -0.17359256 -0.17359256 -0.17359256 -0.17661215
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#> 2.26917603086292 -0.18543694 -0.17205837 -0.17183686 -0.17183686 -0.17205837
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#>                        [,31]       [,32]       [,33]       [,34]       [,35]
#> 1.64869392029419 -0.04729308 -0.04729308 -0.04729308 -0.05080842 -0.05221972
#> 1.75126810787332 -0.07650850 -0.07748059 -0.07969173 -0.08900129 -0.10124477
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#>                        [,36]       [,37]
#> 1.64869392029419 -0.05079022 -0.06748569
#> 1.75126810787332 -0.08614969 -0.11149779
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#> 1.99178060312141 -0.16422798 -0.21544262
#> 2.02501049762032 -0.17082091 -0.21895560
#> 2.05778004489866 -0.17377983 -0.22715002
#> 2.09450607114123 -0.18008759 -0.25826056
#> 2.14006616349627 -0.19579203 -0.26885438
#> 2.18658617913116 -0.20511830 -0.28754354
#> 2.22462355152433 -0.21036257 -0.29953585
#> 2.26917603086292 -0.21391522 -0.30662888
#> 2.31817718775388 -0.21455036 -0.30963399
#> 2.36957596181032 -0.20587883 -0.34656187
#> 2.43815433799455 -0.19994281 -0.32461204
#> 2.55412171880947 -0.16967818 -0.28751108
#> 2.70001802940495 -0.16251210 -0.24983829
#> 
#> $ciupper
#>                       [,1]      [,2]      [,3]      [,4]      [,5]      [,6]
#> 1.64869392029419 0.1264312 0.1264312 0.1241522 0.1241522 0.1241522 0.1241522
#> 1.75126810787332 0.1770875 0.1770876 0.1602820 0.1756538 0.1602820 0.1602820
#> 1.79946777896389 0.1954303 0.1928642 0.1858297 0.1928642 0.1858297 0.1858297
#> 1.87106930768594 0.1919566 0.2267115 0.2052262 0.2213586 0.2086527 0.2086527
#> 1.91429554166968 0.1948300 0.2362882 0.2043481 0.2325693 0.2101120 0.2101120
#> 1.95302761682418 0.1949972 0.2311544 0.1978840 0.2309315 0.2038641 0.2191713
#> 1.99178060312141 0.1987684 0.2253028 0.1993915 0.2250388 0.1993915 0.2250388
#> 2.02501049762032 0.1984985 0.2206368 0.1988249 0.2174378 0.1988249 0.2174378
#> 2.05778004489866 0.1970152 0.2166055 0.1968995 0.2039301 0.1968995 0.2039301
#> 2.09450607114123 0.1962520 0.2119993 0.1940807 0.1963209 0.1914006 0.1945517
#> 2.14006616349627 0.1967783 0.2146523 0.1905540 0.1967783 0.1904306 0.1919650
#> 2.18658617913116 0.1951067 0.2161995 0.1925381 0.1951504 0.1894536 0.1935250
#> 2.22462355152433 0.2045008 0.2159201 0.1919057 0.2044645 0.1867727 0.2044645
#> 2.26917603086292 0.2144059 0.2191696 0.1919745 0.2187633 0.1919745 0.2187633
#> 2.31817718775388 0.2130414 0.2351234 0.2057054 0.2343730 0.1971162 0.2343730
#> 2.36957596181032 0.2123803 0.2502233 0.2309438 0.2493256 0.2005505 0.2493256
#> 2.43815433799455 0.2311271 0.2676651 0.2651800 0.2652199 0.2175299 0.2652199
#> 2.55412171880947 0.2616267 0.2972251 0.2795894 0.2795894 0.2429138 0.2795894
#> 2.70001802940495 0.2729000 0.3244756 0.2830828 0.2830828 0.2623427 0.2830828
#>                       [,7]      [,8]      [,9]     [,10]       [,11]
#> 1.64869392029419 0.1241522 0.1241522 0.1241522 0.1241522  0.10212032
#> 1.75126810787332 0.1602820 0.1602820 0.1602820 0.1531550  0.08955896
#> 1.79946777896389 0.1859282 0.1859282 0.1859282 0.1835102  0.05659599
#> 1.87106930768594 0.2112412 0.2112412 0.2112412 0.1917987 -0.02742540
#> 1.91429554166968 0.2144874 0.2144874 0.2144874 0.2005783 -0.09019650
#> 1.95302761682418 0.2191713 0.2191384 0.2191384 0.1974452 -0.16033059
#> 1.99178060312141 0.2250388 0.2232743 0.2232743 0.1991660 -0.24502542
#> 2.02501049762032 0.2174378 0.2173803 0.2173803 0.1988129 -0.32724132
#> 2.05778004489866 0.2039301 0.2038596 0.2038596 0.1968995 -0.41378535
#> 2.09450607114123 0.1945517 0.1944657 0.1944657 0.1940849 -0.51254191
#> 2.14006616349627 0.1919650 0.1918600 0.1918600 0.1914577 -0.60553113
#> 2.18658617913116 0.1935250 0.1934021 0.1999735 0.1998168 -0.68042497
#> 2.22462355152433 0.2044645 0.2043288 0.2088001 0.2088001 -0.72767300
#> 2.26917603086292 0.2187633 0.2186156 0.2186156 0.2186156 -0.76705821
#> 2.31817718775388 0.2343730 0.2342984 0.2342984 0.2342984 -0.79277900
#> 2.36957596181032 0.2493256 0.2493139 0.2493139 0.2493139 -0.80431891
#> 2.43815433799455 0.2652199 0.2652065 0.2652065 0.2639415 -0.80369243
#> 2.55412171880947 0.2810586 0.2809803 0.2809803 0.2791996 -0.78495105
#> 2.70001802940495 0.3128780 0.3127891 0.3127891 0.2823185 -0.76150409
#>                        [,12]       [,13]       [,14]        [,15]      [,16]
#> 1.64869392029419  0.09265019  0.08262008  0.07744336  0.075084605 0.09223996
#> 1.75126810787332  0.06804763  0.06556174  0.06047944  0.053591114 0.12210722
#> 1.79946777896389  0.03255472  0.02156169  0.01657947  0.009813373 0.12453664
#> 1.87106930768594 -0.03154089 -0.04859534 -0.08371094 -0.083710940 0.11461357
#> 1.91429554166968 -0.10166701 -0.13935272 -0.16022821 -0.166972566 0.11294101
#> 1.95302761682418 -0.16033059 -0.24598440 -0.24790664 -0.251481638 0.10906818
#> 1.99178060312141 -0.24502542 -0.34471280 -0.34471280 -0.344712796 0.09924366
#> 2.02501049762032 -0.32724132 -0.43705172 -0.43705172 -0.437051721 0.09299417
#> 2.05778004489866 -0.41378535 -0.52447734 -0.52447734 -0.524477342 0.08917146
#> 2.09450607114123 -0.51254191 -0.62217090 -0.62217090 -0.622170900 0.08759800
#> 2.14006616349627 -0.62976095 -0.74419006 -0.74419006 -0.744190064 0.09006558
#> 2.18658617913116 -0.73442023 -0.83309848 -0.83309848 -0.829968582 0.09487164
#> 2.22462355152433 -0.80385879 -0.89599931 -0.89599931 -0.881485492 0.10021875
#> 2.26917603086292 -0.85464665 -0.94348154 -0.94883404 -0.921700808 0.12058357
#> 2.31817718775388 -0.88256990 -0.97125764 -0.98301414 -0.943766035 0.13526611
#> 2.36957596181032 -0.89452972 -0.97854944 -0.99767412 -0.947416952 0.14527358
#> 2.43815433799455 -0.88628629 -0.95799975 -0.99656178 -0.943914263 0.15469778
#> 2.55412171880947 -0.86955655 -0.91728287 -0.96985838 -0.916984424 0.16109361
#> 2.70001802940495 -0.85938834 -0.88636322 -0.93677210 -0.886353759 0.18652987
#>                       [,17]      [,18]      [,19]      [,20]      [,21]
#> 1.64869392029419 0.09318070 0.09223996 0.09082765 0.08187065 0.07301128
#> 1.75126810787332 0.12773232 0.12223213 0.12048112 0.11753284 0.08991055
#> 1.79946777896389 0.13582087 0.13582087 0.13261233 0.11581341 0.08957954
#> 1.87106930768594 0.13491744 0.13491744 0.13491744 0.11236293 0.08035202
#> 1.91429554166968 0.12136911 0.12136911 0.12139161 0.10609588 0.06725531
#> 1.95302761682418 0.11579509 0.11568795 0.10930308 0.10356479 0.05244723
#> 1.99178060312141 0.11125284 0.10297965 0.11135251 0.09376946 0.04468432
#> 2.02501049762032 0.10252657 0.09905331 0.10270889 0.08248722 0.02713879
#> 2.05778004489866 0.09417302 0.09364902 0.09467141 0.06921139 0.01996009
#> 2.09450607114123 0.09213981 0.08750944 0.08868578 0.05256880 0.01584351
#> 2.14006616349627 0.10667746 0.08849003 0.09029664 0.03465338 0.01354106
#> 2.18658617913116 0.12147768 0.09144518 0.09502645 0.03045840 0.01160031
#> 2.22462355152433 0.13108906 0.09433730 0.11186584 0.03199591 0.01220067
#> 2.26917603086292 0.13536486 0.09751669 0.12630997 0.04041181 0.01375019
#> 2.31817718775388 0.14124716 0.10027948 0.13522640 0.04841102 0.01782466
#> 2.36957596181032 0.14646596 0.10301869 0.14471184 0.05261141 0.02304456
#> 2.43815433799455 0.15622955 0.11097437 0.15308196 0.06255613 0.03518878
#> 2.55412171880947 0.17857235 0.12460636 0.17096799 0.09488485 0.05841924
#> 2.70001802940495 0.20767810 0.16676900 0.19009648 0.10541292 0.08142831
#>                       [,22]        [,23]         [,24]        [,25]
#> 1.64869392029419 0.07301128 0.0730112800  0.0704045561  0.070404556
#> 1.75126810787332 0.08991055 0.0834105189  0.0812835710  0.081289576
#> 1.79946777896389 0.08957954 0.0832000330  0.0777043621  0.077717354
#> 1.87106930768594 0.08035202 0.0763528050  0.0672797767  0.067279777
#> 1.91429554166968 0.06530080 0.0647449772  0.0647449772  0.064744977
#> 1.95302761682418 0.05237957 0.0508622693  0.0502427780  0.050242778
#> 1.99178060312141 0.04468432 0.0427381265  0.0363320042  0.036332004
#> 2.02501049762032 0.02713879 0.0268715637  0.0254374417  0.025437442
#> 2.05778004489866 0.01992629 0.0151614675  0.0149272316  0.014750238
#> 2.09450607114123 0.01567365 0.0108946722  0.0070535358  0.004580658
#> 2.14006616349627 0.01104173 0.0005701972 -0.0001885443 -0.000736689
#> 2.18658617913116 0.01016114 0.0005082256 -0.0029774824 -0.003013534
#> 2.22462355152433 0.01035194 0.0050738379 -0.0038231883 -0.003868153
#> 2.26917603086292 0.01345303 0.0128342232 -0.0034436709 -0.003568638
#> 2.31817718775388 0.01639631 0.0162900647  0.0102760030  0.010175208
#> 2.36957596181032 0.02106834 0.0193133265  0.0193133265  0.017602177
#> 2.43815433799455 0.03518878 0.0351887771  0.0333126738  0.029600662
#> 2.55412171880947 0.05837856 0.0583785617  0.0564977196  0.052321095
#> 2.70001802940495 0.08100056 0.0738619985  0.0676800683  0.063007622
#>                         [,26]        [,27]        [,28]         [,29]
#> 1.64869392029419  0.070404556  0.068192765  0.068192765  0.0681927655
#> 1.75126810787332  0.081289576  0.077197627  0.077197627  0.0771976272
#> 1.79946777896389  0.077717354  0.076025260  0.076025260  0.0760252596
#> 1.87106930768594  0.067279777  0.078358051  0.078358051  0.0783580511
#> 1.91429554166968  0.059936134  0.057784774  0.057784774  0.0577847736
#> 1.95302761682418  0.048921364  0.047701955  0.047701955  0.0477019552
#> 1.99178060312141  0.035635922  0.034452495  0.034452495  0.0344524947
#> 2.02501049762032  0.024407989  0.024433964  0.024433964  0.0244339643
#> 2.05778004489866  0.007909887  0.007909887  0.007909887  0.0129642325
#> 2.09450607114123 -0.002111158 -0.001946953 -0.001946953  0.0045806579
#> 2.14006616349627 -0.016360163 -0.007286612 -0.007286612 -0.0007225347
#> 2.18658617913116 -0.016895033 -0.009632904 -0.009632904 -0.0029774824
#> 2.22462355152433 -0.019757477 -0.003915283 -0.008845946 -0.0038936374
#> 2.26917603086292 -0.010626908 -0.003428877 -0.004730673  0.0031534793
#> 2.31817718775388 -0.004990249  0.004097236 -0.002484676  0.0067224319
#> 2.36957596181032  0.007990137  0.016183086  0.008331410  0.0192880481
#> 2.43815433799455  0.020008950  0.035389961  0.033321140  0.0411716115
#> 2.55412171880947  0.035708461  0.056591423  0.056591423  0.0625481584
#> 2.70001802940495  0.062390779  0.073861998  0.073861998  0.0810375341
#>                          [,30]       [,31]      [,32]       [,33]         [,34]
#> 1.64869392029419  0.0704045561 0.070602701 0.07060270 0.067965228  0.0679652275
#> 1.75126810787332  0.0812895761 0.090742450 0.09074245 0.081309764  0.0813097641
#> 1.79946777896389  0.0777173542 0.084720597 0.08472060 0.077751825  0.0777518246
#> 1.87106930768594  0.0783580511 0.080336750 0.08061221 0.078358051  0.0629175701
#> 1.91429554166968  0.0577847736 0.065405863 0.07442566 0.057940452  0.0539938804
#> 1.95302761682418  0.0477019552 0.050520572 0.06199010 0.047859747  0.0452122840
#> 1.99178060312141  0.0344524947 0.035797351 0.04055023 0.032877920  0.0316544440
#> 2.02501049762032  0.0244339643 0.026513235 0.02901993 0.022958105  0.0175357869
#> 2.05778004489866  0.0129642325 0.015289459 0.02498200 0.012954640  0.0086756836
#> 2.09450607114123  0.0045806579 0.009236717 0.02214038 0.008914798  0.0034864746
#> 2.14006616349627 -0.0007225347 0.005572883 0.02122024 0.005337213 -0.0013908498
#> 2.18658617913116 -0.0029774824 0.003300691 0.02299155 0.003038825 -0.0060955663
#> 2.22462355152433 -0.0038936374 0.005460799 0.02601064 0.002343350 -0.0037492635
#> 2.26917603086292  0.0031534793 0.013840937 0.03065700 0.007577442  0.0005298467
#> 2.31817718775388  0.0067654260 0.024973465 0.03018642 0.006847061  0.0021779789
#> 2.36957596181032  0.0125582093 0.037399105 0.03981024 0.014052781  0.0080847165
#> 2.43815433799455  0.0336832228 0.049833900 0.04983390 0.026678981  0.0245118118
#> 2.55412171880947  0.0565914228 0.062119689 0.06211969 0.042989675  0.0412951382
#> 2.70001802940495  0.0722497019 0.081037534 0.08272772 0.072432723  0.0601876611
#>                        [,35]      [,36]      [,37]
#> 1.64869392029419 0.067965228 0.07074047 0.07074047
#> 1.75126810787332 0.081309757 0.09332033 0.09332033
#> 1.79946777896389 0.077751800 0.10547655 0.10547655
#> 1.87106930768594 0.071779041 0.09069448 0.09069448
#> 1.91429554166968 0.057874651 0.08067534 0.08067534
#> 1.95302761682418 0.047859747 0.06419132 0.07339997
#> 1.99178060312141 0.032877920 0.05023574 0.05815799
#> 2.02501049762032 0.017535787 0.02922279 0.05638898
#> 2.05778004489866 0.009103982 0.01505233 0.04921057
#> 2.09450607114123 0.008359511 0.01444185 0.04230381
#> 2.14006616349627 0.001991794 0.01676017 0.03580312
#> 2.18658617913116 0.002931034 0.02378273 0.03152675
#> 2.22462355152433 0.002335826 0.02832849 0.03126705
#> 2.26917603086292 0.003152875 0.02821431 0.03731645
#> 2.31817718775388 0.006484773 0.03758752 0.04305013
#> 2.36957596181032 0.012014647 0.04780093 0.04895063
#> 2.43815433799455 0.026678981 0.05500485 0.05849167
#> 2.55412171880947 0.042776650 0.06844127 0.07450322
#> 2.70001802940495 0.062882170 0.11017509 0.11017509
#> 
#> $cenval
#> [1] 0
#> 
#> $cumulative.effect
#>        vals        mean     lower      upper
#> 1  1.648694  0.51131316 -1.086661  3.4279623
#> 2  1.751268  0.32455059 -2.316773  3.8092691
#> 3  1.799468 -0.02364829 -3.030774  3.4056931
#> 4  1.871069 -0.92583449 -4.129892  2.5893626
#> 5  1.914296 -1.67827947 -4.794901  2.0031849
#> 6  1.953028 -2.45083393 -5.482212  1.1323102
#> 7  1.991781 -3.27573622 -6.218280  0.4083284
#> 8  2.025010 -3.98877609 -6.812606 -0.4362025
#> 9  2.057780 -4.66508750 -7.271380 -1.2348716
#> 10 2.094506 -5.35620078 -7.656607 -2.1717936
#> 11 2.140066 -6.06680435 -8.392818 -3.0492431
#> 12 2.186586 -6.58263119 -8.801993 -3.4654754
#> 13 2.224624 -6.83406334 -9.200209 -3.6883561
#> 14 2.269176 -6.94218449 -9.321447 -3.7634433
#> 15 2.318177 -6.86440816 -9.329554 -3.7850956
#> 16 2.369576 -6.62421452 -9.118844 -3.6777157
#> 17 2.438154 -6.17340346 -8.665615 -3.4861415
#> 18 2.554122 -5.38937713 -7.933302 -2.8551946
#> 19 2.700018 -4.64752474 -7.310266 -1.6213122
#> 
#> $pred.at
#>  [1] 1.648694 1.751268 1.799468 1.871069 1.914296 1.953028 1.991781 2.025010
#>  [9] 2.057780 2.094506 2.140066 2.186586 2.224624 2.269176 2.318177 2.369576
#> [17] 2.438154 2.554122 2.700018
#> 
#> $gamma.mean
#> (Intercept)          c1          c2          c3          c4          c5 
#>  -2.0227597  -0.9245206   1.0453346  -0.7531419   0.4146443   0.2338152 
#>          b1          b2          b3          b4          b5 
#>  -0.2189018   1.2582135   0.3157776   0.4174292   0.1361815 
#> 
#> $gamma.ci
#>       (Intercept)        c1        c2         c3        c4        c5
#> 2.5%   -12.396144 -1.029437 0.9564405 -0.8681881 0.3077717 0.1306086
#> 97.5%    7.958044 -0.824705 1.1459634 -0.6353657 0.5204391 0.3416075
#>                b1       b2         b3        b4          b5
#> 2.5%  -0.43324144 1.056683 0.07842655 0.1879511 -0.05482214
#> 97.5% -0.02858097 1.473699 0.49767800 0.6111672  0.38549629
#> 
#> $splitProb
#>  [1] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
#> 
#> $splitIter
#>       [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#>  [1,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [2,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [3,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [4,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [5,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [6,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [7,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [8,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [9,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [10,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [11,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [12,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [13,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [14,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [15,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [16,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [17,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [18,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [19,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [20,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [21,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [22,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [23,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [24,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [25,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [26,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [27,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [28,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [29,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [30,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [31,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [32,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [33,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [34,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [35,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [36,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [37,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>       [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#>  [1,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [2,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [3,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [4,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [5,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [6,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [7,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [8,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [9,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [10,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [11,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [12,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [13,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [14,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [15,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [16,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [17,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [18,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [19,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [20,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [21,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [22,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [23,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [24,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [25,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [26,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [27,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [29,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [30,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [31,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [32,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [33,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [34,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [35,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [36,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [37,]     1     1     1     1     1     1     1     1     1     1     1     1
#>       [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
#>  [1,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [2,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [3,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [4,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [5,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [6,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [7,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [8,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [9,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [10,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [11,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [12,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [13,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [14,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [15,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [16,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [17,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [18,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [19,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [20,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [21,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [22,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [23,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [24,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [25,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [26,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [27,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [29,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [30,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [31,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [32,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [33,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [34,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [35,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [36,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [37,]     1     1     1     1     1     1     1     1     1     1     1     1
#>       [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#>  [1,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [2,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [3,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [4,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [5,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [6,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [7,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [8,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [9,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [10,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [11,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [12,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [13,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [14,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [15,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [16,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [17,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [18,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [19,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [20,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [21,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [22,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [23,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [24,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [25,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [26,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [27,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [29,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [30,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [31,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [32,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [33,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [34,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [35,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [36,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [37,]     1     1     1     1     1     1     1     1     1     1     1     1
#>       [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
#>  [1,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [2,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [3,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [4,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [5,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [6,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [7,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [8,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [9,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [10,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [11,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [12,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [13,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [14,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [15,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [16,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [17,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [18,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [19,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [20,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [21,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [22,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [23,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [24,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [25,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [26,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [27,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [29,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [30,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [31,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [32,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [33,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [34,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [35,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [36,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [37,]     1     1     1     1     1     1     1     1     1     1     1     1
#>       [,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
#>  [1,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [2,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [3,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [4,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [5,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [6,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [7,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [8,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [9,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [10,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [11,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [12,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [13,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [14,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [15,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [16,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [17,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [18,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [19,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [20,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [21,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [22,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [23,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [24,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [25,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [26,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [27,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [29,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [30,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [31,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [32,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [33,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [34,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [35,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [36,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [37,]     1     1     1     1     1     1     1     1     1     1     1     1
#>       [,74] [,75] [,76] [,77] [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85]
#>  [1,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [2,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [3,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [4,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [5,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [6,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [7,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [8,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [9,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [10,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [11,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [12,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [13,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [14,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [15,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [16,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [17,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [18,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [19,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [20,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [21,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [22,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [23,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [24,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [25,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [26,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [27,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [29,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [30,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [31,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [32,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [33,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [34,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [35,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [36,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [37,]     1     1     1     1     1     1     1     1     1     1     1     1
#>       [,86] [,87] [,88] [,89] [,90] [,91] [,92] [,93] [,94] [,95] [,96] [,97]
#>  [1,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [2,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [3,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [4,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [5,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [6,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [7,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [8,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [9,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [10,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [11,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [12,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [13,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [14,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [15,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [16,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [17,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [18,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [19,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [20,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [21,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [22,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [23,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [24,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [25,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [26,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [27,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [29,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [30,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [31,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [32,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [33,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [34,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [35,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [36,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [37,]     1     1     1     1     1     1     1     1     1     1     1     1
#>       [,98] [,99] [,100] [,101] [,102] [,103] [,104] [,105] [,106] [,107]
#>  [1,]     1     1      1      1      1      1      1      1      1      1
#>  [2,]     1     1      1      1      1      1      1      1      1      1
#>  [3,]     1     1      1      1      1      1      1      1      1      1
#>  [4,]     1     1      1      1      1      1      1      1      1      1
#>  [5,]     1     1      1      1      1      1      1      1      1      1
#>  [6,]     1     1      1      1      1      1      1      1      1      1
#>  [7,]     1     1      1      1      1      1      1      1      1      1
#>  [8,]     1     1      1      1      1      1      1      1      1      1
#>  [9,]     1     1      1      1      1      1      1      1      1      1
#> [10,]     1     1      1      1      1      1      1      1      1      1
#> [11,]     1     1      1      1      1      1      1      1      1      1
#> [12,]     1     1      1      1      1      1      1      1      1      1
#> [13,]     1     1      1      1      1      1      1      1      1      1
#> [14,]     1     1      1      1      1      1      1      1      1      1
#> [15,]     1     1      1      1      1      1      1      1      1      1
#> [16,]     1     1      1      1      1      1      1      1      1      1
#> [17,]     1     1      1      1      1      1      1      1      1      1
#> [18,]     1     1      1      1      1      1      1      1      1      1
#> [19,]     1     1      1      1      1      1      1      1      1      1
#> [20,]     1     1      1      1      1      1      1      1      1      1
#> [21,]     1     1      1      1      1      1      1      1      1      1
#> [22,]     1     1      1      1      1      1      1      1      1      1
#> [23,]     1     1      1      1      1      1      1      1      1      1
#> [24,]     1     1      1      1      1      1      1      1      1      1
#> [25,]     1     1      1      1      1      1      1      1      1      1
#> [26,]     1     1      1      1      1      1      1      1      1      1
#> [27,]     1     1      1      1      1      1      1      1      1      1
#> [28,]     1     1      1      1      1      1      1      1      1      1
#> [29,]     1     1      1      1      1      1      1      1      1      1
#> [30,]     1     1      1      1      1      1      1      1      1      1
#> [31,]     1     1      1      1      1      1      1      1      1      1
#> [32,]     1     1      1      1      1      1      1      1      1      1
#> [33,]     1     1      1      1      1      1      1      1      1      1
#> [34,]     1     1      1      1      1      1      1      1      1      1
#> [35,]     1     1      1      1      1      1      1      1      1      1
#> [36,]     1     1      1      1      1      1      1      1      1      1
#> [37,]     1     1      1      1      1      1      1      1      1      1
#>       [,108] [,109] [,110] [,111] [,112] [,113] [,114] [,115] [,116] [,117]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,118] [,119] [,120] [,121] [,122] [,123] [,124] [,125] [,126] [,127]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,128] [,129] [,130] [,131] [,132] [,133] [,134] [,135] [,136] [,137]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,138] [,139] [,140] [,141] [,142] [,143] [,144] [,145] [,146] [,147]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,148] [,149] [,150] [,151] [,152] [,153] [,154] [,155] [,156] [,157]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,158] [,159] [,160] [,161] [,162] [,163] [,164] [,165] [,166] [,167]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,168] [,169] [,170] [,171] [,172] [,173] [,174] [,175] [,176] [,177]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,178] [,179] [,180] [,181] [,182] [,183] [,184] [,185] [,186] [,187]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,188] [,189] [,190] [,191] [,192] [,193] [,194] [,195] [,196] [,197]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,198] [,199] [,200]
#>  [1,]      1      1      1
#>  [2,]      1      1      1
#>  [3,]      1      1      1
#>  [4,]      1      1      1
#>  [5,]      1      1      1
#>  [6,]      1      1      1
#>  [7,]      1      1      1
#>  [8,]      1      1      1
#>  [9,]      1      1      1
#> [10,]      1      1      1
#> [11,]      1      1      1
#> [12,]      1      1      1
#> [13,]      1      1      1
#> [14,]      1      1      1
#> [15,]      1      1      1
#> [16,]      1      1      1
#> [17,]      1      1      1
#> [18,]      1      1      1
#> [19,]      1      1      1
#> [20,]      1      1      1
#> [21,]      1      1      1
#> [22,]      1      1      1
#> [23,]      1      1      1
#> [24,]      1      1      1
#> [25,]      1      1      1
#> [26,]      1      1      1
#> [27,]      1      1      1
#> [28,]      1      1      1
#> [29,]      1      1      1
#> [30,]      1      1      1
#> [31,]      1      1      1
#> [32,]      1      1      1
#> [33,]      1      1      1
#> [34,]      1      1      1
#> [35,]      1      1      1
#> [36,]      1      1      1
#> [37,]      1      1      1
#> 
#> $formula
#> y ~ .
#> <environment: 0x55b84eb9c8b8>
#> 
#> attr(,"class")
#> [1] "summary.tdlnm"

  # plot results
  plot(tdlnm.sum)




  # Heterogeneous TDLM (HDLM), similar to first example but with heterogeneous exposure response
  D <- sim.hdlmm(sim = "B", n = 1000)
  hdlm.fit <- dlmtree(y ~ .,
                      data = D$dat,
                      exposure.data = D$exposures,
                      dlm.type = "linear",
                      family = "gaussian",
                      het = TRUE)
#> Preparing data...
#> 
#> Running shared HDLM:
#> Burn-in % complete 
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> MCMC iterations (est time: 4 seconds)
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> Compiling results...

  # summarize results
  hdlm.sum <- summary(hdlm.fit)
  hdlm.sum
#> $ctr
#> $ctr$class
#> [1] "hdlm"
#> 
#> $ctr$n.trees
#> [1] 20
#> 
#> $ctr$n.iter
#> [1] 2000
#> 
#> $ctr$n.thin
#> [1] 10
#> 
#> $ctr$n.burn
#> [1] 1000
#> 
#> $ctr$response
#> [1] "gaussian"
#> 
#> 
#> $conf.level
#> [1] 0.95
#> 
#> $n.lag
#> [1] 37
#> 
#> $sig.to.noise
#> [1] NA
#> 
#> $rse
#> [1] 0.044401
#> 
#> $n
#> [1] 1000
#> 
#> $modPrior
#> [1] 0.5
#> 
#> $mod.names
#>  [1] "mod_num"   "mod_bin"   "mod_scale" "c1"        "c2"        "c3"       
#>  [7] "c4"        "c5"        "b1"        "b2"        "b3"        "b4"       
#> [13] "b5"       
#> 
#> $pip
#>             PIP
#> mod_num   1.000
#> mod_bin   0.205
#> mod_scale 1.000
#> c1        0.340
#> c2        0.245
#> c3        0.130
#> c4        0.340
#> c5        0.360
#> b1        0.235
#> b2        0.190
#> b3        0.225
#> b4        0.165
#> b5        0.210
#> 
#> $gamma.mean
#>  (Intercept)      mod_num      mod_bin    mod_scale           c1           c2 
#>  0.098965115  1.406875224  0.042913830  0.569822499 -0.636811341 -1.323093113 
#>           c3           c4           c5           b1           b2           b3 
#> -0.681159162 -1.013986852 -0.454056402 -1.160754826 -0.003967832 -2.265168324 
#>           b4           b5 
#> -1.247403143  0.574877565 
#> 
#> $gamma.ci
#>       (Intercept)  mod_num     mod_bin mod_scale         c1        c2
#> 2.5%  -0.08394627 1.345838 -0.07443616 0.3409671 -0.6961938 -1.386629
#> 97.5%  0.28910499 1.473703  0.17224294 0.7822041 -0.5709162 -1.252878
#>               c3         c4         c5        b1         b2        b3        b4
#> 2.5%  -0.7463180 -1.0602651 -0.5086955 -1.270559 -0.1351302 -2.384227 -1.367863
#> 97.5% -0.6101203 -0.9537987 -0.3930622 -1.039025  0.1057650 -2.137470 -1.140899
#>              b5
#> 2.5%  0.4643120
#> 97.5% 0.6917755
#> 
#> $formula
#> y ~ .
#> <environment: 0x55b84eb9c8b8>
#> 
#> attr(,"class")
#> [1] "summary.hdlm"

  # shiny app for HDLM
  if (interactive()) {
    shiny(hdlm.fit)
  }



  # The next two examples are for a mixture (or multivariate) exposure


  # Treed distributed lag mixture model (TDLMM)
  # Model for mixutre (or multivariate) lagged exposures
  # with a homogenious exposure-time-response function
  D <- sim.tdlmm(sim = "B", error = 25, n = 1000)
  tdlmm.fit <- dlmtree(y ~ .,
                       data = D$dat, exposure.data = D$exposures,
                       control.mix = list(interactions = "noself"),
                       dlm.type = "linear", family = "gaussian",
                       mixture = TRUE)
#> Preparing data...
#> 
#> Running TDLMM:
#> Burn-in % complete 
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> MCMC iterations (est time: 4 seconds)
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> Compiling results...

  # summarize results
  tdlmm.sum <- summary(tdlmm.fit)
#> Specified co-exposure values:
#> - e1 : 4.466284
#> - e2 : 4.906237
#> - e3 : 4.837514
#> - e4 : 4.480079
#> - e5 : 6.458263
#> 
#> Reconstructing main effects...
#> Reconstructing interaction effects...
#> 0%...25%...50%...75%...100%
#> Calculating marginal effects...
#> Calculating fixed effects...

  # plot the marginal exposure-response for one exposure
  plot(tdlmm.sum, exposure1 = "e1")


  # plot exposure-response surface
  plot(tdlmm.sum, exposure1 = "e1", exposure2 = "e2")




  # heterogeneous version of TDLMM
  D <- sim.hdlmm(sim = "D", n = 1000)
  hdlmm.fit <- dlmtree(y ~ .,
                       data = D$dat,
                       exposure.data = D$exposures,
                       dlm.type = "linear",
                       family = "gaussian",
                       mixture = TRUE,
                       het = TRUE)
#> Preparing data...
#> 
#> Running HDLMM:
#> Burn-in % complete 
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> MCMC iterations (est time: 24 seconds)
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> Compiling results...

  # summarize results
  hdlmm.sum <- summary(hdlmm.fit)
  hdlmm.sum
#> $ctr
#> $ctr$class
#> [1] "hdlmm"
#> 
#> $ctr$n.trees
#> [1] 20
#> 
#> $ctr$n.iter
#> [1] 2000
#> 
#> $ctr$n.thin
#> [1] 10
#> 
#> $ctr$n.burn
#> [1] 1000
#> 
#> $ctr$response
#> [1] "gaussian"
#> 
#> 
#> $n.lag
#> [1] 37
#> 
#> $n.exp
#> [1] 3
#> 
#> $n.mix
#> [1] 3
#> 
#> $interaction
#> [1] 1
#> 
#> $exp.names
#> [1] "e1" "e2" "e3"
#> 
#> $mix.names
#> [1] "e1-e2" "e1-e3" "e2-e3"
#> 
#> $mix.prior
#> [1] 1
#> 
#> $mod.names
#>  [1] "mod_num"   "mod_bin"   "mod_scale" "c1"        "c2"        "c3"       
#>  [7] "c4"        "c5"        "b1"        "b2"        "b3"        "b4"       
#> [13] "b5"       
#> 
#> $mod.prior
#> [1] 0.5
#> 
#> $conf.level
#> [1] 0.95
#> 
#> $sig.to.noise
#> [1] NA
#> 
#> $rse
#> [1] 0.1576037
#> 
#> $n
#> [1] 1000
#> 
#> $pip
#>             PIP
#> mod_num   1.000
#> mod_bin   1.000
#> mod_scale 0.565
#> c1        0.545
#> c2        0.495
#> c3        0.495
#> c4        0.605
#> c5        0.520
#> b1        0.510
#> b2        0.455
#> b3        0.380
#> b4        0.500
#> b5        0.450
#> 
#> $gamma.mean
#> (Intercept)     mod_num     mod_bin   mod_scale          c1          c2 
#>  0.16850150  1.17447630  0.15083943 -0.51769829  0.53758575 -1.11757830 
#>          c3          c4          c5          b1          b2          b3 
#> -1.10569144  0.78540439 -0.03842438  0.99922405 -0.09020985 -0.39232657 
#>          b4          b5 
#> -1.16501786  0.10365728 
#> 
#> $gamma.ci
#>       (Intercept)  mod_num     mod_bin  mod_scale        c1        c2        c3
#> 2.5%  -0.08030695 1.078156 -0.04935534 -0.7622601 0.4771314 -1.191714 -1.174881
#> 97.5%  0.41512880 1.262639  0.32428707 -0.3002497 0.6097940 -1.054016 -1.042936
#>              c4          c5        b1          b2         b3        b4
#> 2.5%  0.7266837 -0.10792806 0.8563645 -0.22652655 -0.5205157 -1.294743
#> 97.5% 0.8543339  0.03931785 1.1421730  0.02084327 -0.2817561 -1.030764
#>                b5
#> 2.5%  -0.01685884
#> 97.5%  0.23415933
#> 
#> $formula
#> y ~ .
#> <environment: 0x55b84eb9c8b8>
#> 
#> attr(,"class")
#> [1] "summary.hdlmm"

  # summarize results
  if (interactive()) {
    shiny(hdlmm.fit)
  }


# }