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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] 0.2277845
#> 
#> $rse
#> [1] 0
#> 
#> $n
#> [1] 1000
#> 
#> $matfit
#>  [1] -0.0129773671 -0.0195172591 -0.0257065131 -0.0014880867  0.0096309477
#>  [6]  0.0098511003  0.0112299769  0.0098982353  0.0100912172  0.0051985652
#> [11] -0.0009542548 -0.0058999652 -0.0054272635  0.0023190446  0.0053214291
#> [16]  0.0141862264  0.0190082192  0.0242891769  0.0356305426  0.0613072849
#> [21]  0.0750675280  0.0763342327  0.0916890889  0.0936825355  0.0870251013
#> [26]  0.0817397072  0.0858949156  0.0528798169  0.0349088361  0.0309810166
#> [31]  0.0329892652  0.0316775384  0.0347244490  0.0337391381  0.0320973978
#> [36]  0.0028459725 -0.0097581056
#> 
#> $cilower
#>  [1] -0.0787075082 -0.0957816225 -0.1107283388 -0.0517938569 -0.0283548665
#>  [6] -0.0253152388 -0.0252724409 -0.0252794791 -0.0253080912 -0.0413213788
#> [11] -0.0480942592 -0.0553796118 -0.0506228101 -0.0440562673 -0.0418124722
#> [16] -0.0323787672 -0.0226917113 -0.0286437712 -0.0299117896  0.0006830607
#> [21]  0.0183962021  0.0125286833  0.0474262257  0.0462105016  0.0435999221
#> [26]  0.0329179248  0.0246653267 -0.0170238196 -0.0181752031 -0.0158757149
#> [31] -0.0142720308 -0.0152353609 -0.0086989702 -0.0132897771 -0.0168995758
#> [36] -0.0766586742 -0.1148741681
#> 
#> $ciupper
#>  [1] 0.04794683 0.03829897 0.02162530 0.06274904 0.08082471 0.05581406
#>  [7] 0.05430553 0.04891436 0.06576911 0.05803013 0.04888396 0.02888697
#> [13] 0.02926855 0.05174469 0.05475244 0.06148689 0.06590309 0.07487275
#> [19] 0.09693707 0.12089131 0.12016975 0.12297144 0.14871602 0.15646136
#> [25] 0.13512076 0.13395687 0.19968058 0.12247259 0.08014373 0.07190489
#> [31] 0.07987818 0.07042084 0.08546838 0.09367281 0.09650383 0.05999237
#> [37] 0.05724486
#> 
#> $cumulative.effect
#>      mean      2.5%     97.5% 
#> 1.0145097 0.5705005 1.4193327 
#> 
#> $formula
#> y ~ .
#> <environment: 0x55c8966ee5d8>
#> 
#> $gamma.mean
#> (Intercept)          c1          c2          c3          c4          c5 
#> -0.21283720  0.08058923  0.08588837 -0.12803925  0.06008876 -0.15456108 
#>          b1          b2          b3          b4          b5 
#> -0.01793476 -0.06148004  0.05646239  0.11070588  0.33648527 
#> 
#> $gamma.ci
#>       (Intercept)          c1          c2          c3          c4          c5
#> 2.5%   -0.5635233 -0.04057965 -0.04344416 -0.24093441 -0.08762332 -0.28630764
#> 97.5%   0.1214037  0.19955807  0.19016043  0.01833177  0.21678610 -0.03550929
#>               b1         b2         b3         b4         b5
#> 2.5%  -0.2756356 -0.3150972 -0.1761371 -0.1705709 0.08491082
#> 97.5%  0.2299728  0.1986392  0.3121603  0.3932120 0.57131647
#> 
#> 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] 0.8536726
#> 
#> $rse
#> [1] 0.1352062
#> 
#> $n
#> [1] 926
#> 
#> $plot.dat
#>     Tmin Tmax     Xmin     Xmax  PredVal           Est         SD         CIMin
#> 1      0    1 1.062245 1.699981 1.648694  0.0518004800 0.04726062 -0.0256655879
#> 2      0    1 1.699981 1.775368 1.751268  0.0807587342 0.06817930 -0.0361622861
#> 3      0    1 1.775368 1.835269 1.799468  0.0927685252 0.07594699 -0.0506174290
#> 4      0    1 1.835269 1.892682 1.871069  0.1064633946 0.08448505 -0.0618944534
#> 5      0    1 1.892682 1.933662 1.914296  0.1117665008 0.08801023 -0.0638669599
#> 6      0    1 1.933662 1.972404 1.953028  0.1144872669 0.09021787 -0.0700069985
#> 7      0    1 1.972404 2.008396 1.991781  0.1153564438 0.09159507 -0.0731650822
#> 8      0    1 2.008396 2.041395 2.025010  0.1147888006 0.09219140 -0.0785492425
#> 9      0    1 2.041395 2.076143 2.057780  0.1132729177 0.09236068 -0.0955950144
#> 10     0    1 2.076143 2.117286 2.094506  0.1107997920 0.09223040 -0.1067492590
#> 11     0    1 2.117286 2.163326 2.140066  0.1072572016 0.09190812 -0.1059699776
#> 12     0    1 2.163326 2.205605 2.186586  0.1039201760 0.09170923 -0.1123083987
#> 13     0    1 2.205605 2.246900 2.224624  0.1018987933 0.09176247 -0.1136103689
#> 14     0    1 2.246900 2.293677 2.269176  0.1006634303 0.09207222 -0.1091795554
#> 15     0    1 2.293677 2.343877 2.318177  0.1007927539 0.09262895 -0.1010574235
#> 16     0    1 2.343877 2.403865 2.369576  0.1023742310 0.09332007 -0.0925804363
#> 17     0    1 2.403865 2.496138 2.438154  0.1060436006 0.09422714 -0.1090148487
#> 18     0    1 2.496138 2.627070 2.554122  0.1139611430 0.09565869 -0.1064058439
#> 19     0    1 2.627070 3.622562 2.700018  0.1239993256 0.09888017 -0.1119953606
#> 20     1    2 1.062245 1.699981 1.648694  0.0539663186 0.04657115 -0.0199232132
#> 21     1    2 1.699981 1.775368 1.751268  0.0842652340 0.06638256 -0.0279507065
#> 22     1    2 1.775368 1.835269 1.799468  0.0969011973 0.07343148 -0.0316570012
#> 23     1    2 1.835269 1.892682 1.871069  0.1114688328 0.08079357 -0.0439370534
#> 24     1    2 1.892682 1.933662 1.914296  0.1172630936 0.08360823 -0.0559117177
#> 25     1    2 1.933662 1.972404 1.953028  0.1204058081 0.08519599 -0.0537867613
#> 26     1    2 1.972404 2.008396 1.991781  0.1216849330 0.08596106 -0.0558388229
#> 27     1    2 2.008396 2.041395 2.025010  0.1214620915 0.08602537 -0.0559962439
#> 28     1    2 2.041395 2.076143 2.057780  0.1202817222 0.08565168 -0.0547610897
#> 29     1    2 2.076143 2.117286 2.094506  0.1181797146 0.08488341 -0.0579827631
#> 30     1    2 2.117286 2.163326 2.140066  0.1150886671 0.08372914 -0.0627090171
#> 31     1    2 2.163326 2.205605 2.186586  0.1121977196 0.08265703 -0.0600475187
#> 32     1    2 2.205605 2.246900 2.224624  0.1105244891 0.08200363 -0.0569406716
#> 33     1    2 2.246900 2.293677 2.269176  0.1096707857 0.08152408 -0.0522475013
#> 34     1    2 2.293677 2.343877 2.318177  0.1101784009 0.08129477 -0.0615889121
#> 35     1    2 2.343877 2.403865 2.369576  0.1121014957 0.08128924 -0.0580410226
#> 36     1    2 2.403865 2.496138 2.438154  0.1161333102 0.08151991 -0.0514252022
#> 37     1    2 2.496138 2.627070 2.554122  0.1244573158 0.08258257 -0.0425551185
#> 38     1    2 2.627070 3.622562 2.700018  0.1348013494 0.08671591 -0.0391957508
#> 39     2    3 1.062245 1.699981 1.648694  0.0549309106 0.04620856 -0.0252881194
#> 40     2    3 1.699981 1.775368 1.751268  0.0861178489 0.06577364 -0.0276405429
#> 41     2    3 1.775368 1.835269 1.799468  0.0992163312 0.07280280 -0.0318175146
#> 42     2    3 1.835269 1.892682 1.871069  0.1144327558 0.08029317 -0.0433467215
#> 43     2    3 1.892682 1.933662 1.914296  0.1205642826 0.08322550 -0.0499835550
#> 44     2    3 1.933662 1.972404 1.953028  0.1239629163 0.08488708 -0.0484421912
#> 45     2    3 1.972404 2.008396 1.991781  0.1254519843 0.08565288 -0.0455859597
#> 46     2    3 2.008396 2.041395 2.025010  0.1253737596 0.08563820 -0.0487876179
#> 47     2    3 2.041395 2.076143 2.057780  0.1243068337 0.08510840 -0.0526629475
#> 48     2    3 2.076143 2.117286 2.094506  0.1223019351 0.08408071 -0.0565093674
#> 49     2    3 2.117286 2.163326 2.140066  0.1192950725 0.08251688 -0.0577564363
#> 50     2    3 2.163326 2.205605 2.186586  0.1164581395 0.08099547 -0.0540912032
#> 51     2    3 2.205605 2.246900 2.224624  0.1148113182 0.08000865 -0.0487125473
#> 52     2    3 2.246900 2.293677 2.269176  0.1139739715 0.07923031 -0.0458208582
#> 53     2    3 2.293677 2.343877 2.318177  0.1144874208 0.07882126 -0.0445205779
#> 54     2    3 2.343877 2.403865 2.369576  0.1164098404 0.07879108 -0.0389123117
#> 55     2    3 2.403865 2.496138 2.438154  0.1204437780 0.07916519 -0.0344805355
#> 56     2    3 2.496138 2.627070 2.554122  0.1288333939 0.08049614 -0.0337050715
#> 57     2    3 2.627070 3.622562 2.700018  0.1394280454 0.08441482 -0.0372612074
#> 58     3    4 1.062245 1.699981 1.648694  0.0641493716 0.04545304 -0.0040281918
#> 59     3    4 1.699981 1.775368 1.751268  0.0997403244 0.06262139 -0.0115851628
#> 60     3    4 1.775368 1.835269 1.799468  0.1144929922 0.06800046 -0.0129169673
#> 61     3    4 1.835269 1.892682 1.871069  0.1315020381 0.07281988 -0.0047469740
#> 62     3    4 1.892682 1.933662 1.914296  0.1383705226 0.07428222 -0.0070729312
#> 63     3    4 1.933662 1.972404 1.953028  0.1422639489 0.07486613 -0.0021368695
#> 64     3    4 1.972404 2.008396 1.991781  0.1441388492 0.07484706  0.0036880079
#> 65     3    4 2.008396 2.041395 2.025010  0.1443355622 0.07441132  0.0010637936
#> 66     3    4 2.041395 2.076143 2.057780  0.1435102753 0.07368977 -0.0012516067
#> 67     3    4 2.076143 2.117286 2.094506  0.1417582997 0.07268864 -0.0023895901
#> 68     3    4 2.117286 2.163326 2.140066  0.1390544984 0.07145133 -0.0008443261
#> 69     3    4 2.163326 2.205605 2.186586  0.1365210014 0.07049212 -0.0026646777
#> 70     3    4 2.205605 2.246900 2.224624  0.1351153383 0.07004560 -0.0032437349
#> 71     3    4 2.246900 2.293677 2.269176  0.1345459389 0.06990078 -0.0027751280
#> 72     3    4 2.293677 2.343877 2.318177  0.1353283223 0.07011348 -0.0044853332
#> 73     3    4 2.343877 2.403865 2.369576  0.1375001723 0.07060904 -0.0021979315
#> 74     3    4 2.403865 2.496138 2.438154  0.1418251915 0.07146678  0.0026528762
#> 75     3    4 2.496138 2.627070 2.554122  0.1506912816 0.07303182  0.0136460559
#> 76     3    4 2.627070 3.622562 2.700018  0.1620034905 0.07632412  0.0195696743
#> 77     4    5 1.062245 1.699981 1.648694  0.0645918498 0.04547635 -0.0040281918
#> 78     4    5 1.699981 1.775368 1.751268  0.1005209676 0.06269405 -0.0115851628
#> 79     4    5 1.775368 1.835269 1.799468  0.1154523196 0.06810819 -0.0129169673
#> 80     4    5 1.835269 1.892682 1.871069  0.1327342876 0.07298762 -0.0040212706
#> 81     4    5 1.892682 1.933662 1.914296  0.1397672837 0.07448566 -0.0007342728
#> 82     4    5 1.933662 1.972404 1.953028  0.1438062349 0.07509721  0.0036789281
#> 83     4    5 1.972404 2.008396 1.991781  0.1458238884 0.07509802  0.0041000201
#> 84     4    5 2.008396 2.041395 2.025010  0.1461396827 0.07467016  0.0015291836
#> 85     4    5 2.041395 2.076143 2.057780  0.1454274872 0.07394571 -0.0009735812
#> 86     4    5 2.076143 2.117286 2.094506  0.1437950229 0.07292711 -0.0023895901
#> 87     4    5 2.117286 2.163326 2.140066  0.1412245938 0.07164851 -0.0025161050
#> 88     4    5 2.163326 2.205605 2.186586  0.1388044509 0.07063353 -0.0049266201
#> 89     4    5 2.205605 2.246900 2.224624  0.1374704014 0.07014222 -0.0060207714
#> 90     4    5 2.246900 2.293677 2.269176  0.1369578228 0.06995887 -0.0048136836
#> 91     4    5 2.293677 2.343877 2.318177  0.1377680297 0.07015723 -0.0044693777
#> 92     4    5 2.343877 2.403865 2.369576  0.1399325686 0.07067139 -0.0020400350
#> 93     4    5 2.403865 2.496138 2.438154  0.1442005481 0.07159224  0.0025684063
#> 94     4    5 2.496138 2.627070 2.554122  0.1528970302 0.07328007  0.0123282704
#> 95     4    5 2.627070 3.622562 2.700018  0.1639683048 0.07658467  0.0178480930
#> 96     5    6 1.062245 1.699981 1.648694  0.0656910857 0.04576250 -0.0030716436
#> 97     5    6 1.699981 1.775368 1.751268  0.1024908018 0.06331653 -0.0052985616
#> 98     5    6 1.775368 1.835269 1.799468  0.1178923532 0.06896023  0.0029884360
#> 99     5    6 1.835269 1.892682 1.871069  0.1358969696 0.07444599  0.0041500784
#> 100    5    6 1.892682 1.933662 1.914296  0.1433606710 0.07656619  0.0043105269
#> 101    5    6 1.933662 1.972404 1.953028  0.1477729422 0.07792456  0.0038282001
#> 102    5    6 1.972404 2.008396 1.991781  0.1501484361 0.07882256  0.0053071753
#> 103    5    6 2.008396 2.041395 2.025010  0.1507578769 0.07923553  0.0052447078
#> 104    5    6 2.041395 2.076143 2.057780  0.1503242977 0.07935122  0.0034308498
#> 105    5    6 2.076143 2.117286 2.094506  0.1489936830 0.07922315  0.0006454727
#> 106    5    6 2.117286 2.163326 2.140066  0.1467877916 0.07888816 -0.0025161050
#> 107    5    6 2.163326 2.205605 2.186586  0.1447347843 0.07859435 -0.0049266201
#> 108    5    6 2.205605 2.246900 2.224624  0.1436995837 0.07851365 -0.0060207714
#> 109    5    6 2.246900 2.293677 2.269176  0.1435341566 0.07865076 -0.0048136836
#> 110    5    6 2.293677 2.343877 2.318177  0.1447154012 0.07907228  0.0007185857
#> 111    5    6 2.343877 2.403865 2.369576  0.1472437523 0.07973985  0.0002570846
#> 112    5    6 2.403865 2.496138 2.438154  0.1519326164 0.08077955  0.0027113623
#> 113    5    6 2.496138 2.627070 2.554122  0.1611359943 0.08239580  0.0123282704
#> 114    5    6 2.627070 3.622562 2.700018  0.1725491456 0.08513704  0.0178480930
#> 115    6    7 1.062245 1.699981 1.648694  0.0661184480 0.04515661 -0.0030716436
#> 116    6    7 1.699981 1.775368 1.751268  0.1028857270 0.06233039 -0.0053323780
#> 117    6    7 1.775368 1.835269 1.799468  0.1181416629 0.06781322 -0.0054091912
#> 118    6    7 1.835269 1.892682 1.871069  0.1357589247 0.07306699  0.0041500784
#> 119    6    7 1.892682 1.933662 1.914296  0.1429085258 0.07501026  0.0043105269
#> 120    6    7 1.933662 1.972404 1.953028  0.1470097292 0.07615592  0.0038282001
#> 121    6    7 1.972404 2.008396 1.991781  0.1490664606 0.07677667  0.0053071753
#> 122    6    7 2.008396 2.041395 2.025010  0.1494120068 0.07690260  0.0052447078
#> 123    6    7 2.041395 2.076143 2.057780  0.1487389534 0.07670215  0.0034308498
#> 124    6    7 2.076143 2.117286 2.094506  0.1471762681 0.07620191  0.0006454727
#> 125    6    7 2.117286 2.163326 2.140066  0.1447496269 0.07541800 -0.0025161050
#> 126    6    7 2.163326 2.205605 2.186586  0.1425564427 0.07472173 -0.0049266201
#> 127    6    7 2.205605 2.246900 2.224624  0.1414697463 0.07437218 -0.0060207714
#> 128    6    7 2.246900 2.293677 2.269176  0.1413074946 0.07426890 -0.0048136836
#> 129    6    7 2.293677 2.343877 2.318177  0.1425531232 0.07451291  0.0007185857
#> 130    6    7 2.343877 2.403865 2.369576  0.1451910229 0.07507270  0.0002570846
#> 131    6    7 2.403865 2.496138 2.438154  0.1500474070 0.07603798  0.0027113623
#> 132    6    7 2.496138 2.627070 2.554122  0.1594882076 0.07754838  0.0123282704
#> 133    6    7 2.627070 3.622562 2.700018  0.1710664575 0.08026916  0.0178480930
#> 134    7    8 1.062245 1.699981 1.648694  0.0660606406 0.04456634  0.0011922134
#> 135    7    8 1.699981 1.775368 1.751268  0.1028097029 0.06089428  0.0036082021
#> 136    7    8 1.775368 1.835269 1.799468  0.1180171902 0.06592605  0.0040215096
#> 137    7    8 1.835269 1.892682 1.871069  0.1354734306 0.07065101  0.0102159977
#> 138    7    8 1.892682 1.933662 1.914296  0.1424663002 0.07243461  0.0089046006
#> 139    7    8 1.933662 1.972404 1.953028  0.1463916169 0.07355475  0.0068454041
#> 140    7    8 1.972404 2.008396 1.991781  0.1482454958 0.07424787  0.0053071753
#> 141    7    8 2.008396 2.041395 2.025010  0.1484020758 0.07449645  0.0052447078
#> 142    7    8 2.041395 2.076143 2.057780  0.1475346480 0.07445630  0.0034308498
#> 143    7    8 2.076143 2.117286 2.094506  0.1457501058 0.07416670  0.0006454727
#> 144    7    8 2.117286 2.163326 2.140066  0.1430484827 0.07366583 -0.0025161050
#> 145    7    8 2.163326 2.205605 2.186586  0.1405786254 0.07324702 -0.0049266201
#> 146    7    8 2.205605 2.246900 2.224624  0.1392696364 0.07307917 -0.0060207714
#> 147    7    8 2.246900 2.293677 2.269176  0.1388521998 0.07308995 -0.0048136836
#> 148    7    8 2.293677 2.343877 2.318177  0.1398267057 0.07329019  0.0007185857
#> 149    7    8 2.343877 2.403865 2.369576  0.1421987165 0.07360441  0.0002570846
#> 150    7    8 2.403865 2.496138 2.438154  0.1467487086 0.07403503  0.0027113623
#> 151    7    8 2.496138 2.627070 2.554122  0.1558419946 0.07478200  0.0123282704
#> 152    7    8 2.627070 3.622562 2.700018  0.1672456379 0.07759257  0.0178480930
#> 153    8    9 1.062245 1.699981 1.648694  0.0668456321 0.04407511  0.0014511970
#> 154    8    9 1.699981 1.775368 1.751268  0.1038339850 0.06013997  0.0056087438
#> 155    8    9 1.775368 1.835269 1.799468  0.1190835344 0.06514458  0.0085933560
#> 156    8    9 1.835269 1.892682 1.871069  0.1365263215 0.07004799  0.0102091123
#> 157    8    9 1.892682 1.933662 1.914296  0.1434839946 0.07206154  0.0088915757
#> 158    8    9 1.933662 1.972404 1.953028  0.1473724735 0.07342601  0.0068112605
#> 159    8    9 1.972404 2.008396 1.991781  0.1491920018 0.07435286  0.0041000201
#> 160    8    9 2.008396 2.041395 2.025010  0.1493248010 0.07476018  0.0015291836
#> 161    8    9 2.041395 2.076143 2.057780  0.1484405369 0.07481813 -0.0009735812
#> 162    8    9 2.076143 2.117286 2.094506  0.1466449100 0.07455807 -0.0034574095
#> 163    8    9 2.117286 2.163326 2.140066  0.1439387017 0.07397955 -0.0057095177
#> 164    8    9 2.163326 2.205605 2.186586  0.1414700875 0.07338154 -0.0068288774
#> 165    8    9 2.205605 2.246900 2.224624  0.1401630084 0.07302688 -0.0068598943
#> 166    8    9 2.246900 2.293677 2.269176  0.1397458919 0.07281349 -0.0060707867
#> 167    8    9 2.293677 2.343877 2.318177  0.1407170660 0.07280215 -0.0049513114
#> 168    8    9 2.343877 2.403865 2.369576  0.1430832150 0.07296732 -0.0020400350
#> 169    8    9 2.403865 2.496138 2.438154  0.1476305448 0.07334237  0.0027113623
#> 170    8    9 2.496138 2.627070 2.554122  0.1567709574 0.07435768  0.0123282704
#> 171    8    9 2.627070 3.622562 2.700018  0.1683518099 0.07790950  0.0178480930
#> 172    9   10 1.062245 1.699981 1.648694  0.0700333593 0.04592525  0.0016540593
#> 173    9   10 1.699981 1.775368 1.751268  0.1081628222 0.06181004  0.0059118274
#> 174    9   10 1.775368 1.835269 1.799468  0.1236427516 0.06625505  0.0090341856
#> 175    9   10 1.835269 1.892682 1.871069  0.1410118198 0.06994972  0.0107258977
#> 176    9   10 1.892682 1.933662 1.914296  0.1477319761 0.07124230  0.0104821063
#> 177    9   10 1.933662 1.972404 1.953028  0.1513348981 0.07210654  0.0097322949
#> 178    9   10 1.972404 2.008396 1.991781  0.1528420491 0.07272673  0.0099375535
#> 179    9   10 2.008396 2.041395 2.025010  0.1527130297 0.07302923  0.0050037998
#> 180    9   10 2.041395 2.076143 2.057780  0.1515937056 0.07310891  0.0023681557
#> 181    9   10 2.076143 2.117286 2.094506  0.1495744624 0.07298928 -0.0006076555
#> 182    9   10 2.117286 2.163326 2.140066  0.1466567650 0.07270133 -0.0039913450
#> 183    9   10 2.163326 2.205605 2.186586  0.1440427295 0.07246996 -0.0065983012
#> 184    9   10 2.205605 2.246900 2.224624  0.1426593817 0.07242718 -0.0068476150
#> 185    9   10 2.246900 2.293677 2.269176  0.1421873771 0.07255819 -0.0048136836
#> 186    9   10 2.293677 2.343877 2.318177  0.1431243998 0.07287287  0.0026208861
#> 187    9   10 2.343877 2.403865 2.369576  0.1454680979 0.07330773  0.0034656850
#> 188    9   10 2.403865 2.496138 2.438154  0.1499869782 0.07392642  0.0066260398
#> 189    9   10 2.496138 2.627070 2.554122  0.1590539063 0.07502837  0.0177202087
#> 190    9   10 2.627070 3.622562 2.700018  0.1705355141 0.07804869  0.0177935979
#> 191   10   11 1.062245 1.699981 1.648694  0.0531000766 0.04586997 -0.0141736481
#> 192   10   11 1.699981 1.775368 1.751268  0.0350784583 0.06174442 -0.0673558293
#> 193   10   11 1.775368 1.835269 1.799468 -0.0048795706 0.06647891 -0.1178948024
#> 194   10   11 1.835269 1.892682 1.871069 -0.1185210572 0.07160036 -0.2456698191
#> 195   10   11 1.892682 1.933662 1.914296 -0.2204341805 0.07459997 -0.3494895008
#> 196   10   11 1.933662 1.972404 1.953028 -0.3301228922 0.07753671 -0.4569920419
#> 197   10   11 1.972404 2.008396 1.991781 -0.4520336601 0.08056483 -0.5855722270
#> 198   10   11 2.008396 2.041395 2.025010 -0.5611020505 0.08297971 -0.7095595063
#> 199   10   11 2.041395 2.076143 2.057780 -0.6678473261 0.08497340 -0.8218721981
#> 200   10   11 2.076143 2.117286 2.094506 -0.7810402419 0.08658577 -0.9438599003
#> 201   10   11 2.117286 2.163326 2.140066 -0.9046139434 0.08763439 -1.0686346882
#> 202   10   11 2.163326 2.205605 2.186586 -1.0056295373 0.08783251 -1.1623244309
#> 203   10   11 2.205605 2.246900 2.224624 -1.0679385317 0.08759163 -1.2243935985
#> 204   10   11 2.246900 2.293677 2.269176 -1.1193281222 0.08710385 -1.2812156816
#> 205   10   11 2.293677 2.343877 2.318177 -1.1536637493 0.08651076 -1.3087715744
#> 206   10   11 2.343877 2.403865 2.369576 -1.1717460540 0.08594065 -1.3169562814
#> 207   10   11 2.403865 2.496138 2.438154 -1.1790278184 0.08536066 -1.3213881874
#> 208   10   11 2.496138 2.627070 2.554122 -1.1742178691 0.08517329 -1.3243518550
#> 209   10   11 2.627070 3.622562 2.700018 -1.1628796995 0.08726197 -1.3246695116
#> 210   11   12 1.062245 1.699981 1.648694  0.0532226844 0.04583223 -0.0141736481
#> 211   11   12 1.699981 1.775368 1.751268  0.0354700876 0.06124081 -0.0631504043
#> 212   11   12 1.775368 1.835269 1.799468 -0.0042661470 0.06524109 -0.1155648119
#> 213   11   12 1.835269 1.892682 1.871069 -0.1174805084 0.06803862 -0.2437503482
#> 214   11   12 1.892682 1.933662 1.914296 -0.2191218217 0.06886563 -0.3468778227
#> 215   11   12 1.933662 1.972404 1.953028 -0.3285998176 0.06961974 -0.4518192271
#> 216   11   12 1.972404 2.008396 1.991781 -0.4503660829 0.07062565 -0.5820980922
#> 217   11   12 2.008396 2.041395 2.025010 -0.5593852157 0.07172612 -0.7022897246
#> 218   11   12 2.041395 2.076143 2.057780 -0.6661605740 0.07297209 -0.8141002610
#> 219   11   12 2.076143 2.117286 2.094506 -0.7794811925 0.07444101 -0.9210119102
#> 220   11   12 2.117286 2.163326 2.140066 -0.9033322423 0.07615987 -1.0538521690
#> 221   11   12 2.163326 2.205605 2.186586 -1.0047198298 0.07758227 -1.1613310836
#> 222   11   12 2.205605 2.246900 2.224624 -1.0673559060 0.07840710 -1.2197009111
#> 223   11   12 2.246900 2.293677 2.269176 -1.1191088944 0.07897812 -1.2672515572
#> 224   11   12 2.293677 2.343877 2.318177 -1.1537794585 0.07919166 -1.2934640797
#> 225   11   12 2.343877 2.403865 2.369576 -1.1721191079 0.07910198 -1.3119912748
#> 226   11   12 2.403865 2.496138 2.438154 -1.1796051577 0.07879271 -1.3204751686
#> 227   11   12 2.496138 2.627070 2.554122 -1.1749156964 0.07876486 -1.3080282135
#> 228   11   12 2.627070 3.622562 2.700018 -1.1636044041 0.08127917 -1.3188287710
#> 229   12   13 1.062245 1.699981 1.648694  0.0521521337 0.04567950 -0.0145686797
#> 230   12   13 1.699981 1.775368 1.751268  0.0335121475 0.06135179 -0.0641125856
#> 231   12   13 1.775368 1.835269 1.799468 -0.0067153601 0.06551972 -0.1155648119
#> 232   12   13 1.835269 1.892682 1.871069 -0.1206993643 0.06841887 -0.2437503482
#> 233   12   13 1.892682 1.933662 1.914296 -0.2228047289 0.06912611 -0.3468778227
#> 234   12   13 1.933662 1.972404 1.953028 -0.3326839377 0.06963983 -0.4518192271
#> 235   12   13 1.972404 2.008396 1.991781 -0.4548281688 0.07031145 -0.5820980922
#> 236   12   13 2.008396 2.041395 2.025010 -0.5641466552 0.07109149 -0.7022897246
#> 237   12   13 2.041395 2.076143 2.057780 -0.6711907415 0.07202520 -0.8141002610
#> 238   12   13 2.076143 2.117286 2.094506 -0.7847779814 0.07317369 -0.9210119102
#> 239   12   13 2.117286 2.163326 2.140066 -0.9089062988 0.07454776 -1.0538521690
#> 240   12   13 2.163326 2.205605 2.186586 -1.0105161005 0.07566000 -1.1613310836
#> 241   12   13 2.205605 2.246900 2.224624 -1.0732909183 0.07624300 -1.2197009111
#> 242   12   13 2.246900 2.293677 2.269176 -1.1251628321 0.07653135 -1.2672515572
#> 243   12   13 2.293677 2.343877 2.318177 -1.1599189073 0.07643585 -1.3013731348
#> 244   12   13 2.343877 2.403865 2.369576 -1.1783093245 0.07603951 -1.3130522751
#> 245   12   13 2.403865 2.496138 2.438154 -1.1858221920 0.07538517 -1.3205482663
#> 246   12   13 2.496138 2.627070 2.554122 -1.1811300938 0.07505355 -1.3251665067
#> 247   12   13 2.627070 3.622562 2.700018 -1.1698043649 0.07779323 -1.3248411791
#> 248   13   14 1.062245 1.699981 1.648694  0.0519140065 0.04587467 -0.0141736481
#> 249   13   14 1.699981 1.775368 1.751268  0.0330222010 0.06149280 -0.0631504043
#> 250   13   14 1.775368 1.835269 1.799468 -0.0073762152 0.06560450 -0.1155648119
#> 251   13   14 1.835269 1.892682 1.871069 -0.1216942233 0.06845925 -0.2437503482
#> 252   13   14 1.892682 1.933662 1.914296 -0.2240511060 0.06921348 -0.3468778227
#> 253   13   14 1.933662 1.972404 1.953028 -0.3341846760 0.06983703 -0.4519134025
#> 254   13   14 1.972404 2.008396 1.991781 -0.4566040740 0.07067571 -0.5820980922
#> 255   13   14 2.008396 2.041395 2.025010 -0.5661676139 0.07162471 -0.7022897246
#> 256   13   14 2.041395 2.076143 2.057780 -0.6734540982 0.07272500 -0.8141002610
#> 257   13   14 2.076143 2.117286 2.094506 -0.7873049890 0.07403543 -0.9344436708
#> 258   13   14 2.117286 2.163326 2.140066 -0.9117356623 0.07555074 -1.0686346882
#> 259   13   14 2.163326 2.205605 2.186586 -1.0136138338 0.07673864 -1.1669443882
#> 260   13   14 2.205605 2.246900 2.224624 -1.0765726803 0.07734961 -1.2376851554
#> 261   13   14 2.246900 2.293677 2.269176 -1.1286181612 0.07766094 -1.2889965584
#> 262   13   14 2.293677 2.343877 2.318177 -1.1635147413 0.07761159 -1.3208059271
#> 263   13   14 2.343877 2.403865 2.369576 -1.1820007171 0.07731072 -1.3352422925
#> 264   13   14 2.403865 2.496138 2.438154 -1.1895703088 0.07685555 -1.3385568213
#> 265   13   14 2.496138 2.627070 2.554122 -1.1848450392 0.07687295 -1.3331436434
#> 266   13   14 2.627070 3.622562 2.700018 -1.1734056319 0.07963722 -1.3439567618
#> 267   14   15 1.062245 1.699981 1.648694  0.0523875201 0.04617451 -0.0138716222
#> 268   14   15 1.699981 1.775368 1.751268  0.0341170784 0.06206336 -0.0630869134
#> 269   14   15 1.775368 1.835269 1.799468 -0.0058481291 0.06630994 -0.1140047656
#> 270   14   15 1.835269 1.892682 1.871069 -0.1193501718 0.06945454 -0.2437503482
#> 271   14   15 1.892682 1.933662 1.914296 -0.2211320687 0.07054977 -0.3468778227
#> 272   14   15 1.933662 1.972404 1.953028 -0.3307200250 0.07166696 -0.4519134025
#> 273   14   15 1.972404 2.008396 1.991781 -0.4525889944 0.07320125 -0.5820980922
#> 274   14   15 2.008396 2.041395 2.025010 -0.5616973714 0.07488023 -0.7022897246
#> 275   14   15 2.041395 2.076143 2.057780 -0.6685678865 0.07676417 -0.8141002610
#> 276   14   15 2.076143 2.117286 2.094506 -0.7820096364 0.07894347 -0.9344436708
#> 277   14   15 2.117286 2.163326 2.140066 -0.9060387157 0.08139549 -1.0686346882
#> 278   14   15 2.163326 2.205605 2.186586 -1.0076414864 0.08327765 -1.1669443882
#> 279   14   15 2.205605 2.246900 2.224624 -1.0704741923 0.08424240 -1.2376851554
#> 280   14   15 2.246900 2.293677 2.269176 -1.1224702196 0.08476239 -1.2889965584
#> 281   14   15 2.293677 2.343877 2.318177 -1.1574053676 0.08477565 -1.3208059271
#> 282   14   15 2.343877 2.403865 2.369576 -1.1759959006 0.08446721 -1.3352422925
#> 283   14   15 2.403865 2.496138 2.438154 -1.1837415309 0.08403136 -1.3385568213
#> 284   14   15 2.496138 2.627070 2.554122 -1.1792684608 0.08426770 -1.3331436434
#> 285   14   15 2.627070 3.622562 2.700018 -1.1679832900 0.08726018 -1.3439567618
#> 286   15   16 1.062245 1.699981 1.648694  0.0666487225 0.04680951 -0.0017939939
#> 287   15   16 1.699981 1.775368 1.751268  0.0973455446 0.06402826 -0.0029804398
#> 288   15   16 1.775368 1.835269 1.799468  0.1070896927 0.06906058 -0.0038790846
#> 289   15   16 1.835269 1.892682 1.871069  0.1141153223 0.07270264 -0.0154475053
#> 290   15   16 1.892682 1.933662 1.914296  0.1145913274 0.07313731 -0.0180337931
#> 291   15   16 1.933662 1.972404 1.953028  0.1134236211 0.07280871 -0.0194435134
#> 292   15   16 1.972404 2.008396 1.991781  0.1114972428 0.07213896 -0.0196744263
#> 293   15   16 2.008396 2.041395 2.025010  0.1097561401 0.07152135 -0.0189193249
#> 294   15   16 2.041395 2.076143 2.057780  0.1083125441 0.07102364 -0.0180436891
#> 295   15   16 2.076143 2.117286 2.094506  0.1072940649 0.07069415 -0.0210576573
#> 296   15   16 2.117286 2.163326 2.140066  0.1071318668 0.07064145 -0.0163531059
#> 297   15   16 2.163326 2.205605 2.186586  0.1082363064 0.07089288 -0.0137560856
#> 298   15   16 2.205605 2.246900 2.224624  0.1099599191 0.07122791 -0.0114463039
#> 299   15   16 2.246900 2.293677 2.269176  0.1126867470 0.07169683 -0.0119654821
#> 300   15   16 2.293677 2.343877 2.318177  0.1162653326 0.07228101 -0.0046249876
#> 301   15   16 2.343877 2.403865 2.369576  0.1203565206 0.07296118 -0.0013236431
#> 302   15   16 2.403865 2.496138 2.438154  0.1259699632 0.07391081  0.0003017561
#> 303   15   16 2.496138 2.627070 2.554122  0.1353804390 0.07540670  0.0018686840
#> 304   15   16 2.627070 3.622562 2.700018  0.1467687602 0.07805414  0.0074612652
#> 305   16   17 1.062245 1.699981 1.648694  0.0661332470 0.04670487 -0.0017939939
#> 306   16   17 1.699981 1.775368 1.751268  0.0964780497 0.06397514 -0.0029804398
#> 307   16   17 1.775368 1.835269 1.799468  0.1060308277 0.06909750 -0.0038790846
#> 308   16   17 1.835269 1.892682 1.871069  0.1127362252 0.07298671 -0.0154475053
#> 309   16   17 1.892682 1.933662 1.914296  0.1129953003 0.07365033 -0.0180337931
#> 310   16   17 1.933662 1.972404 1.953028  0.1116184775 0.07358277 -0.0313113581
#> 311   16   17 1.972404 2.008396 1.991781  0.1094713937 0.07322178 -0.0295534656
#> 312   16   17 2.008396 2.041395 2.025010  0.1075348047 0.07289329 -0.0273438437
#> 313   16   17 2.041395 2.076143 2.057780  0.1058956852 0.07268264 -0.0259660568
#> 314   16   17 2.076143 2.117286 2.094506  0.1046580021 0.07264765 -0.0256850929
#> 315   16   17 2.117286 2.163326 2.140066  0.1042277758 0.07287332 -0.0199138653
#> 316   16   17 2.163326 2.205605 2.186586  0.1050661407 0.07326833 -0.0167792987
#> 317   16   17 2.205605 2.246900 2.224624  0.1065793192 0.07360511 -0.0168451417
#> 318   16   17 2.246900 2.293677 2.269176  0.1090696873 0.07395667 -0.0143074551
#> 319   16   17 2.293677 2.343877 2.318177  0.1124051088 0.07430230 -0.0120165664
#> 320   16   17 2.343877 2.403865 2.369576  0.1162688324 0.07467150 -0.0074905972
#> 321   16   17 2.403865 2.496138 2.438154  0.1216410812 0.07521451 -0.0023069333
#> 322   16   17 2.496138 2.627070 2.554122  0.1308415724 0.07621739 -0.0002796273
#> 323   16   17 2.627070 3.622562 2.700018  0.1422382690 0.07847771 -0.0048078073
#> 324   17   18 1.062245 1.699981 1.648694  0.0641702429 0.04639469 -0.0017847831
#> 325   17   18 1.699981 1.775368 1.751268  0.0933321425 0.06341260 -0.0042429969
#> 326   17   18 1.775368 1.835269 1.799468  0.1024861187 0.06835416 -0.0090261099
#> 327   17   18 1.835269 1.892682 1.871069  0.1089893510 0.07179812 -0.0154153948
#> 328   17   18 1.892682 1.933662 1.914296  0.1093888435 0.07199892 -0.0179051425
#> 329   17   18 1.933662 1.972404 1.953028  0.1082930231 0.07132822 -0.0192987834
#> 330   17   18 1.972404 2.008396 1.991781  0.1065412604 0.07015978 -0.0196189470
#> 331   17   18 2.008396 2.041395 2.025010  0.1050017094 0.06898983 -0.0189193249
#> 332   17   18 2.041395 2.076143 2.057780  0.1037757787 0.06785756 -0.0173242306
#> 333   17   18 2.076143 2.117286 2.094506  0.1029931141 0.06675844 -0.0173368981
#> 334   17   18 2.117286 2.163326 2.140066  0.1030713935 0.06575431 -0.0116383624
#> 335   17   18 2.163326 2.205605 2.186586  0.1043303959 0.06512739 -0.0105391001
#> 336   17   18 2.205605 2.246900 2.224624  0.1061050073 0.06484720 -0.0083982002
#> 337   17   18 2.246900 2.293677 2.269176  0.1088148716 0.06471488 -0.0037060345
#> 338   17   18 2.293677 2.343877 2.318177  0.1123067036 0.06476450 -0.0003687646
#> 339   17   18 2.343877 2.403865 2.369576  0.1162719818 0.06499225  0.0035483585
#> 340   17   18 2.403865 2.496138 2.438154  0.1217310688 0.06545605  0.0027570625
#> 341   17   18 2.496138 2.627070 2.554122  0.1310427457 0.06632573  0.0050186750
#> 342   17   18 2.627070 3.622562 2.700018  0.1425394810 0.06853754  0.0183873553
#> 343   18   19 1.062245 1.699981 1.648694  0.0649908642 0.04775696 -0.0013225118
#> 344   18   19 1.699981 1.775368 1.751268  0.0949911063 0.06564786 -0.0029061837
#> 345   18   19 1.775368 1.835269 1.799468  0.1047226895 0.07106532 -0.0063218176
#> 346   18   19 1.835269 1.892682 1.871069  0.1123353549 0.07531383 -0.0117369848
#> 347   18   19 1.892682 1.933662 1.914296  0.1135389813 0.07605569 -0.0113009110
#> 348   18   19 1.933662 1.972404 1.953028  0.1132271440 0.07589530 -0.0116961503
#> 349   18   19 1.972404 2.008396 1.991781  0.1122936334 0.07524883 -0.0115257957
#> 350   18   19 2.008396 2.041395 2.025010  0.1114607041 0.07452489 -0.0147897201
#> 351   18   19 2.041395 2.076143 2.057780  0.1109173489 0.07382215 -0.0167302983
#> 352   18   19 2.076143 2.117286 2.094506  0.1108634988 0.07318386 -0.0145620389
#> 353   18   19 2.117286 2.163326 2.140066  0.1117678830 0.07271232 -0.0102650415
#> 354   18   19 2.163326 2.205605 2.186586  0.1137606595 0.07257883 -0.0103641217
#> 355   18   19 2.205605 2.246900 2.224624  0.1160454438 0.07266032 -0.0075815094
#> 356   18   19 2.246900 2.293677 2.269176  0.1192492464 0.07289558 -0.0035298841
#> 357   18   19 2.293677 2.343877 2.318177  0.1231602776 0.07326515  0.0016291164
#> 358   18   19 2.343877 2.403865 2.369576  0.1274360243 0.07371954  0.0048731300
#> 359   18   19 2.403865 2.496138 2.438154  0.1331271939 0.07431044  0.0120640303
#> 360   18   19 2.496138 2.627070 2.554122  0.1424605733 0.07502173  0.0190575096
#> 361   18   19 2.627070 3.622562 2.700018  0.1536295323 0.07658848  0.0234140679
#> 362   19   20 1.062245 1.699981 1.648694  0.0648948909 0.04793049 -0.0017847831
#> 363   19   20 1.699981 1.775368 1.751268  0.0947945754 0.06591386 -0.0029061837
#> 364   19   20 1.775368 1.835269 1.799468  0.1044795846 0.07133975 -0.0063218176
#> 365   19   20 1.835269 1.892682 1.871069  0.1120458021 0.07555764 -0.0117369848
#> 366   19   20 1.892682 1.933662 1.914296  0.1132424715 0.07627773 -0.0113009110
#> 367   19   20 1.933662 1.972404 1.953028  0.1129405183 0.07611458 -0.0116961503
#> 368   19   20 1.972404 2.008396 1.991781  0.1120323943 0.07549239 -0.0115257957
#> 369   19   20 2.008396 2.041395 2.025010  0.1112330038 0.07481370 -0.0147897201
#> 370   19   20 2.041395 2.076143 2.057780  0.1107325538 0.07417498 -0.0167302983
#> 371   19   20 2.076143 2.117286 2.094506  0.1107373799 0.07362325 -0.0145620389
#> 372   19   20 2.117286 2.163326 2.140066  0.1117286058 0.07326372 -0.0102650415
#> 373   19   20 2.163326 2.205605 2.186586  0.1138243107 0.07323017 -0.0103641217
#> 374   19   20 2.205605 2.246900 2.224624  0.1162022923 0.07337301 -0.0075815094
#> 375   19   20 2.246900 2.293677 2.269176  0.1195227019 0.07365318 -0.0035298841
#> 376   19   20 2.293677 2.343877 2.318177  0.1235658030 0.07404120  0.0016291164
#> 377   19   20 2.343877 2.403865 2.369576  0.1279757713 0.07448972  0.0048731300
#> 378   19   20 2.403865 2.496138 2.438154  0.1338228415 0.07505854  0.0120640303
#> 379   19   20 2.496138 2.627070 2.554122  0.1433255751 0.07577610  0.0190575096
#> 380   19   20 2.627070 3.622562 2.700018  0.1545669490 0.07743462  0.0234140679
#> 381   20   21 1.062245 1.699981 1.648694  0.0640941251 0.04676306 -0.0023326983
#> 382   20   21 1.699981 1.775368 1.751268  0.0935418953 0.06439490 -0.0053872746
#> 383   20   21 1.775368 1.835269 1.799468  0.1030377341 0.06980073 -0.0090261099
#> 384   20   21 1.835269 1.892682 1.871069  0.1103802974 0.07414028 -0.0154153948
#> 385   20   21 1.892682 1.933662 1.914296  0.1114790548 0.07496932 -0.0179051425
#> 386   20   21 1.933662 1.972404 1.953028  0.1111119058 0.07488873 -0.0192987834
#> 387   20   21 1.972404 2.008396 1.991781  0.1101574475 0.07431384 -0.0196189470
#> 388   20   21 2.008396 2.041395 2.025010  0.1093312943 0.07364095 -0.0189193249
#> 389   20   21 2.041395 2.076143 2.057780  0.1088144186 0.07297853 -0.0173242306
#> 390   20   21 2.076143 2.117286 2.094506  0.1088107368 0.07237479 -0.0173368981
#> 391   20   21 2.117286 2.163326 2.140066  0.1098032018 0.07193372 -0.0116383624
#> 392   20   21 2.163326 2.205605 2.186586  0.1119103667 0.07182064 -0.0105391001
#> 393   20   21 2.205605 2.246900 2.224624  0.1143029237 0.07191179 -0.0083982002
#> 394   20   21 2.246900 2.293677 2.269176  0.1176436187 0.07214972 -0.0037060345
#> 395   20   21 2.293677 2.343877 2.318177  0.1217099037 0.07251030 -0.0025852981
#> 396   20   21 2.343877 2.403865 2.369576  0.1261423099 0.07294305  0.0018465956
#> 397   20   21 2.403865 2.496138 2.438154  0.1320140004 0.07349779  0.0027081441
#> 398   20   21 2.496138 2.627070 2.554122  0.1415471303 0.07419977  0.0111625358
#> 399   20   21 2.627070 3.622562 2.700018  0.1528164574 0.07592748  0.0196918642
#> 400   21   22 1.062245 1.699981 1.648694  0.0631110493 0.04669722 -0.0023326983
#> 401   21   22 1.699981 1.775368 1.751268  0.0919841296 0.06464688 -0.0063608180
#> 402   21   22 1.775368 1.835269 1.799468  0.1012325248 0.07029006 -0.0103690521
#> 403   21   22 1.835269 1.892682 1.871069  0.1082719667 0.07500497 -0.0187248763
#> 404   21   22 1.892682 1.933662 1.914296  0.1092307308 0.07602545 -0.0220367102
#> 405   21   22 1.933662 1.972404 1.953028  0.1087647692 0.07606978 -0.0220456056
#> 406   21   22 1.972404 2.008396 1.991781  0.1077340204 0.07556599 -0.0200016762
#> 407   21   22 2.008396 2.041395 2.025010  0.1068580595 0.07490955 -0.0189193249
#> 408   21   22 2.041395 2.076143 2.057780  0.1063041539 0.07422599 -0.0173242306
#> 409   21   22 2.076143 2.117286 2.094506  0.1062711984 0.07356207 -0.0173368981
#> 410   21   22 2.117286 2.163326 2.140066  0.1072428468 0.07301072 -0.0116383624
#> 411   21   22 2.163326 2.205605 2.186586  0.1093449119 0.07277063 -0.0103851302
#> 412   21   22 2.205605 2.246900 2.224624  0.1117456580 0.07276594 -0.0075815094
#> 413   21   22 2.246900 2.293677 2.269176  0.1151119808 0.07291745 -0.0037060345
#> 414   21   22 2.293677 2.343877 2.318177  0.1192303290 0.07322836 -0.0003687646
#> 415   21   22 2.343877 2.403865 2.369576  0.1237490994 0.07366642  0.0048315743
#> 416   21   22 2.403865 2.496138 2.438154  0.1297894765 0.07431601  0.0071991717
#> 417   21   22 2.496138 2.627070 2.554122  0.1396963790 0.07535915  0.0187571783
#> 418   21   22 2.627070 3.622562 2.700018  0.1513337348 0.07757817  0.0207821897
#> 419   22   23 1.062245 1.699981 1.648694  0.0623642650 0.04695729 -0.0021381977
#> 420   22   23 1.699981 1.775368 1.751268  0.0905269891 0.06514385 -0.0053866788
#> 421   22   23 1.775368 1.835269 1.799468  0.0994034171 0.07089492 -0.0090261099
#> 422   22   23 1.835269 1.892682 1.871069  0.1059147761 0.07572423 -0.0154153948
#> 423   22   23 1.892682 1.933662 1.914296  0.1065893593 0.07677758 -0.0200720905
#> 424   22   23 1.933662 1.972404 1.953028  0.1058948124 0.07682834 -0.0219926129
#> 425   22   23 1.972404 2.008396 1.991781  0.1046569304 0.07631169 -0.0198996930
#> 426   22   23 2.008396 2.041395 2.025010  0.1036158615 0.07563063 -0.0187507156
#> 427   22   23 2.041395 2.076143 2.057780  0.1029055696 0.07491177 -0.0167302983
#> 428   22   23 2.076143 2.117286 2.094506  0.1026995400 0.07419754 -0.0145620389
#> 429   22   23 2.117286 2.163326 2.140066  0.1034530049 0.07357592 -0.0102650415
#> 430   22   23 2.163326 2.205605 2.186586  0.1053242540 0.07327267 -0.0082370761
#> 431   22   23 2.205605 2.246900 2.224624  0.1075309045 0.07323928 -0.0068084860
#> 432   22   23 2.246900 2.293677 2.269176  0.1106681591 0.07339831 -0.0036967594
#> 433   22   23 2.293677 2.343877 2.318177  0.1145407439 0.07377182 -0.0003687646
#> 434   22   23 2.343877 2.403865 2.369576  0.1188195662 0.07431475  0.0027013171
#> 435   22   23 2.403865 2.496138 2.438154  0.1245840662 0.07508686  0.0069944692
#> 436   22   23 2.496138 2.627070 2.554122  0.1341587974 0.07602805  0.0170699423
#> 437   22   23 2.627070 3.622562 2.700018  0.1455649101 0.07754671  0.0207821897
#> 438   23   24 1.062245 1.699981 1.648694  0.0596998867 0.04938053 -0.0176524834
#> 439   23   24 1.699981 1.775368 1.751268  0.0858042251 0.06954836 -0.0265305295
#> 440   23   24 1.775368 1.835269 1.799468  0.0936446500 0.07621792 -0.0297526302
#> 441   23   24 1.835269 1.892682 1.871069  0.0986959622 0.08221086 -0.0325122258
#> 442   23   24 1.892682 1.933662 1.914296  0.0985864074 0.08384206 -0.0349144020
#> 443   23   24 1.933662 1.972404 1.953028  0.0972700461 0.08435618 -0.0382570300
#> 444   23   24 1.972404 2.008396 1.991781  0.0954916079 0.08427488 -0.0414588160
#> 445   23   24 2.008396 2.041395 2.025010  0.0940517609 0.08395388 -0.0447856695
#> 446   23   24 2.041395 2.076143 2.057780  0.0930041795 0.08357704 -0.0484490859
#> 447   23   24 2.076143 2.117286 2.094506  0.0924814009 0.08322171 -0.0519008249
#> 448   23   24 2.117286 2.163326 2.140066  0.0929221755 0.08299173 -0.0540984561
#> 449   23   24 2.163326 2.205605 2.186586  0.0945521107 0.08301382 -0.0485830079
#> 450   23   24 2.205605 2.246900 2.224624  0.0966094154 0.08319107 -0.0438322676
#> 451   23   24 2.246900 2.293677 2.269176  0.0996153167 0.08354348 -0.0383466148
#> 452   23   24 2.293677 2.343877 2.318177  0.1033853335 0.08408076 -0.0328445532
#> 453   23   24 2.343877 2.403865 2.369576  0.1075918839 0.08476177 -0.0332907970
#> 454   23   24 2.403865 2.496138 2.438154  0.1133025049 0.08569226 -0.0343831479
#> 455   23   24 2.496138 2.627070 2.554122  0.1228761631 0.08682962 -0.0349860929
#> 456   23   24 2.627070 3.622562 2.700018  0.1344022761 0.08821386 -0.0303076372
#> 457   24   25 1.062245 1.699981 1.648694  0.0575461509 0.04975491 -0.0176646437
#> 458   24   25 1.699981 1.775368 1.751268  0.0821310061 0.07042282 -0.0265305295
#> 459   24   25 1.775368 1.835269 1.799468  0.0892320648 0.07737922 -0.0297526302
#> 460   24   25 1.835269 1.892682 1.871069  0.0932597762 0.08376383 -0.0396860463
#> 461   24   25 1.892682 1.933662 1.914296  0.0926033843 0.08556621 -0.0510370447
#> 462   24   25 1.933662 1.972404 1.953028  0.0908500847 0.08617655 -0.0613480523
#> 463   24   25 1.972404 2.008396 1.991781  0.0886851253 0.08614072 -0.0697373259
#> 464   24   25 2.008396 2.041395 2.025010  0.0869526505 0.08582952 -0.0750950055
#> 465   24   25 2.041395 2.076143 2.057780  0.0856493205 0.08545057 -0.0739996439
#> 466   24   25 2.076143 2.117286 2.094506  0.0848752322 0.08509732 -0.0718335827
#> 467   24   25 2.117286 2.163326 2.140066  0.0850490812 0.08490096 -0.0680465922
#> 468   24   25 2.163326 2.205605 2.186586  0.0864464745 0.08500840 -0.0633114356
#> 469   24   25 2.205605 2.246900 2.224624  0.0883336127 0.08529225 -0.0591005864
#> 470   24   25 2.246900 2.293677 2.269176  0.0911508566 0.08579911 -0.0584821863
#> 471   24   25 2.293677 2.343877 2.318177  0.0947127119 0.08652352 -0.0571662910
#> 472   24   25 2.343877 2.403865 2.369576  0.0986882862 0.08740118 -0.0559170296
#> 473   24   25 2.403865 2.496138 2.438154  0.1040644860 0.08857359 -0.0503195096
#> 474   24   25 2.496138 2.627070 2.554122  0.1130427743 0.08999517 -0.0517744268
#> 475   24   25 2.627070 3.622562 2.700018  0.1239052730 0.09134288 -0.0352725853
#> 476   25   26 1.062245 1.699981 1.648694  0.0418960375 0.04813323 -0.0379387682
#> 477   25   26 1.699981 1.775368 1.751268  0.0557444420 0.06858873 -0.0589004674
#> 478   25   26 1.775368 1.835269 1.799468  0.0578775056 0.07573508 -0.0674123106
#> 479   25   26 1.835269 1.892682 1.871069  0.0555170305 0.08271225 -0.0935887635
#> 480   25   26 1.892682 1.933662 1.914296  0.0517966716 0.08496046 -0.1086768311
#> 481   25   26 1.933662 1.972404 1.953028  0.0478400324 0.08595504 -0.1194921370
#> 482   25   26 1.972404 2.008396 1.991781  0.0439516680 0.08624128 -0.1271166354
#> 483   25   26 2.008396 2.041395 2.025010  0.0410797572 0.08613133 -0.1301498371
#> 484   25   26 2.041395 2.076143 2.057780  0.0389116167 0.08587093 -0.1258739246
#> 485   25   26 2.076143 2.117286 2.094506  0.0374174552 0.08555252 -0.1245930125
#> 486   25   26 2.117286 2.163326 2.140066  0.0369781180 0.08526352 -0.1184541469
#> 487   25   26 2.163326 2.205605 2.186586  0.0379765071 0.08514451 -0.1174199094
#> 488   25   26 2.205605 2.246900 2.224624  0.0396524780 0.08516707 -0.1106375346
#> 489   25   26 2.246900 2.293677 2.269176  0.0423079228 0.08530940 -0.1038820309
#> 490   25   26 2.293677 2.343877 2.318177  0.0457580097 0.08559795 -0.1046457326
#> 491   25   26 2.343877 2.403865 2.369576  0.0496586367 0.08602487 -0.1020417567
#> 492   25   26 2.403865 2.496138 2.438154  0.0549694704 0.08667203 -0.0984399867
#> 493   25   26 2.496138 2.627070 2.554122  0.0638804098 0.08748065 -0.0936434209
#> 494   25   26 2.627070 3.622562 2.700018  0.0747031721 0.08849371 -0.0932332612
#> 495   26   27 1.062245 1.699981 1.648694  0.0343579564 0.04993652 -0.0467455451
#> 496   26   27 1.699981 1.775368 1.751268  0.0439568432 0.07070641 -0.0737504074
#> 497   26   27 1.775368 1.835269 1.799468  0.0442530951 0.07779354 -0.0868443790
#> 498   26   27 1.835269 1.892682 1.871069  0.0395823580 0.08455512 -0.1054693782
#> 499   26   27 1.892682 1.933662 1.914296  0.0347375561 0.08667618 -0.1101400991
#> 500   26   27 1.933662 1.972404 1.953028  0.0299383105 0.08758906 -0.1201215533
#> 501   26   27 1.972404 2.008396 1.991781  0.0253472563 0.08782851 -0.1289326480
#> 502   26   27 2.008396 2.041395 2.025010  0.0219715322 0.08770248 -0.1312881047
#> 503   26   27 2.041395 2.076143 2.057780  0.0193851063 0.08744381 -0.1290501724
#> 504   26   27 2.076143 2.117286 2.094506  0.0175039789 0.08714625 -0.1317103389
#> 505   26   27 2.117286 2.163326 2.140066  0.0166897762 0.08691501 -0.1344548428
#> 506   26   27 2.163326 2.205605 2.186586  0.0174093252 0.08690131 -0.1336253658
#> 507   26   27 2.205605 2.246900 2.224624  0.0189240201 0.08704939 -0.1280811566
#> 508   26   27 2.246900 2.293677 2.269176  0.0214539319 0.08737965 -0.1256042491
#> 509   26   27 2.293677 2.343877 2.318177  0.0248276083 0.08790777 -0.1260300415
#> 510   26   27 2.343877 2.403865 2.369576  0.0286958490 0.08859215 -0.1185955708
#> 511   26   27 2.403865 2.496138 2.438154  0.0340036109 0.08954361 -0.1113372543
#> 512   26   27 2.496138 2.627070 2.554122  0.0429286928 0.09071066 -0.1041168390
#> 513   26   27 2.627070 3.622562 2.700018  0.0537449722 0.09199350 -0.1007483766
#> 514   27   28 1.062245 1.699981 1.648694  0.0276492692 0.04812858 -0.0467455451
#> 515   27   28 1.699981 1.775368 1.751268  0.0339287515 0.06748543 -0.0738977347
#> 516   27   28 1.775368 1.835269 1.799468  0.0329602066 0.07385637 -0.0889150544
#> 517   27   28 1.835269 1.892682 1.871069  0.0269234530 0.07962215 -0.1070976018
#> 518   27   28 1.892682 1.933662 1.914296  0.0215373459 0.08122250 -0.1158397438
#> 519   27   28 1.933662 1.972404 1.953028  0.0163997364 0.08173186 -0.1232467454
#> 520   27   28 1.972404 2.008396 1.991781  0.0115750301 0.08162939 -0.1310467607
#> 521   27   28 2.008396 2.041395 2.025010  0.0080581480 0.08126062 -0.1344719529
#> 522   27   28 2.041395 2.076143 2.057780  0.0053677069 0.08081026 -0.1382611448
#> 523   27   28 2.076143 2.117286 2.094506  0.0033944382 0.08035715 -0.1395505664
#> 524   27   28 2.117286 2.163326 2.140066  0.0024813867 0.08002227 -0.1381887999
#> 525   27   28 2.163326 2.205605 2.186586  0.0031014465 0.07999937 -0.1405833000
#> 526   27   28 2.205605 2.246900 2.224624  0.0045299962 0.08020114 -0.1389504854
#> 527   27   28 2.246900 2.293677 2.269176  0.0069523919 0.08064495 -0.1357893940
#> 528   27   28 2.293677 2.343877 2.318177  0.0102024467 0.08133254 -0.1292982108
#> 529   27   28 2.343877 2.403865 2.369576  0.0139408603 0.08218936 -0.1261854702
#> 530   27   28 2.403865 2.496138 2.438154  0.0190864634 0.08333535 -0.1250734350
#> 531   27   28 2.496138 2.627070 2.554122  0.0278007170 0.08471331 -0.1112540765
#> 532   27   28 2.627070 3.622562 2.700018  0.0385202136 0.08625826 -0.1033497292
#> 533   28   29 1.062245 1.699981 1.648694  0.0179251336 0.04309939 -0.0481072932
#> 534   28   29 1.699981 1.775368 1.751268  0.0194365771 0.05937601 -0.0780105442
#> 535   28   29 1.775368 1.835269 1.799468  0.0166602795 0.06434258 -0.0956501718
#> 536   28   29 1.835269 1.892682 1.871069  0.0086669210 0.06833569 -0.1101902942
#> 537   28   29 1.892682 1.933662 1.914296  0.0024906768 0.06913737 -0.1192955342
#> 538   28   29 1.933662 1.972404 1.953028 -0.0031597197 0.06913896 -0.1259651196
#> 539   28   29 1.972404 2.008396 1.991781 -0.0083620675 0.06873329 -0.1310670085
#> 540   28   29 2.008396 2.041395 2.025010 -0.0121277039 0.06826120 -0.1344972806
#> 541   28   29 2.041395 2.076143 2.057780 -0.0150180423 0.06783199 -0.1382608984
#> 542   28   29 2.076143 2.117286 2.094506 -0.0171802558 0.06750887 -0.1395505504
#> 543   28   29 2.117286 2.163326 2.140066 -0.0182949449 0.06740298 -0.1404525764
#> 544   28   29 2.163326 2.205605 2.186586 -0.0178555695 0.06757125 -0.1410741061
#> 545   28   29 2.205605 2.246900 2.224624 -0.0165598520 0.06782760 -0.1409490817
#> 546   28   29 2.246900 2.293677 2.269176 -0.0142783377 0.06818719 -0.1403429064
#> 547   28   29 2.293677 2.343877 2.318177 -0.0111681485 0.06861905 -0.1390411139
#> 548   28   29 2.343877 2.403865 2.369576 -0.0075648224 0.06909869 -0.1361846096
#> 549   28   29 2.403865 2.496138 2.438154 -0.0025917920 0.06971827 -0.1253757986
#> 550   28   29 2.496138 2.627070 2.554122  0.0058252792 0.07041708 -0.1146999560
#> 551   28   29 2.627070 3.622562 2.700018  0.0161789592 0.07146283 -0.0989676671
#> 552   29   30 1.062245 1.699981 1.648694  0.0163783385 0.04331679 -0.0482296527
#> 553   29   30 1.699981 1.775368 1.751268  0.0168476917 0.05933398 -0.0807256203
#> 554   29   30 1.775368 1.835269 1.799468  0.0135828797 0.06403278 -0.0956877093
#> 555   29   30 1.835269 1.892682 1.871069  0.0049498312 0.06753630 -0.1190647983
#> 556   29   30 1.892682 1.933662 1.914296 -0.0015377711 0.06806262 -0.1298737142
#> 557   29   30 1.933662 1.972404 1.953028 -0.0074114844 0.06787015 -0.1359394538
#> 558   29   30 1.972404 2.008396 1.991781 -0.0127839896 0.06733183 -0.1338247786
#> 559   29   30 2.008396 2.041395 2.025010 -0.0166552746 0.06678968 -0.1356705637
#> 560   29   30 2.041395 2.076143 2.057780 -0.0196169444 0.06631713 -0.1385027430
#> 561   29   30 2.076143 2.117286 2.094506 -0.0218258039 0.06595474 -0.1410203460
#> 562   29   30 2.117286 2.163326 2.140066 -0.0229597924 0.06578155 -0.1421470425
#> 563   29   30 2.163326 2.205605 2.186586 -0.0225097220 0.06583436 -0.1413045396
#> 564   29   30 2.205605 2.246900 2.224624 -0.0211921249 0.06595804 -0.1414788257
#> 565   29   30 2.246900 2.293677 2.269176 -0.0188791550 0.06613137 -0.1414991816
#> 566   29   30 2.293677 2.343877 2.318177 -0.0157355775 0.06634822 -0.1412942698
#> 567   29   30 2.343877 2.403865 2.369576 -0.0121045746 0.06662702 -0.1362845580
#> 568   29   30 2.403865 2.496138 2.438154 -0.0071082291 0.06706337 -0.1331320051
#> 569   29   30 2.496138 2.627070 2.554122  0.0013372608 0.06771234 -0.1228867938
#> 570   29   30 2.627070 3.622562 2.700018  0.0117793650 0.06911691 -0.0989676671
#> 571   30   31 1.062245 1.699981 1.648694  0.0163565961 0.04320710 -0.0482480053
#> 572   30   31 1.699981 1.775368 1.751268  0.0167705802 0.05911962 -0.0807874908
#> 573   30   31 1.775368 1.835269 1.799468  0.0134661070 0.06376685 -0.0973949572
#> 574   30   31 1.835269 1.892682 1.871069  0.0047638978 0.06721214 -0.1190647983
#> 575   30   31 1.892682 1.933662 1.914296 -0.0017660525 0.06772085 -0.1298737142
#> 576   30   31 1.933662 1.972404 1.953028 -0.0076741093 0.06752407 -0.1359394538
#> 577   30   31 1.972404 2.008396 1.991781 -0.0130746467 0.06698928 -0.1338247786
#> 578   30   31 2.008396 2.041395 2.025010 -0.0169631992 0.06645300 -0.1356705637
#> 579   30   31 2.041395 2.076143 2.057780 -0.0199348644 0.06598588 -0.1385027430
#> 580   30   31 2.076143 2.117286 2.094506 -0.0221464067 0.06562653 -0.1410203460
#> 581   30   31 2.117286 2.163326 2.140066 -0.0232724022 0.06545068 -0.1421470425
#> 582   30   31 2.163326 2.205605 2.186586 -0.0228046960 0.06549423 -0.1413045396
#> 583   30   31 2.205605 2.246900 2.224624 -0.0214692205 0.06560778 -0.1414788257
#> 584   30   31 2.246900 2.293677 2.269176 -0.0191358699 0.06576979 -0.1414991816
#> 585   30   31 2.293677 2.343877 2.318177 -0.0159755773 0.06597843 -0.1412942698
#> 586   30   31 2.343877 2.403865 2.369576 -0.0123375907 0.06625523 -0.1362845580
#> 587   30   31 2.403865 2.496138 2.438154 -0.0073511468 0.06669614 -0.1254529596
#> 588   30   31 2.496138 2.627070 2.554122  0.0010370758 0.06734626 -0.1146999560
#> 589   30   31 2.627070 3.622562 2.700018  0.0113761076 0.06873338 -0.0989676671
#> 590   31   32 1.062245 1.699981 1.648694  0.0144711834 0.04328206 -0.0482480053
#> 591   31   32 1.699981 1.775368 1.751268  0.0139332841 0.05957505 -0.0813664288
#> 592   31   32 1.775368 1.835269 1.799468  0.0102613680 0.06446406 -0.0974216426
#> 593   31   32 1.835269 1.892682 1.871069  0.0011561031 0.06823165 -0.1191204416
#> 594   31   32 1.892682 1.933662 1.914296 -0.0055383657 0.06885106 -0.1298737142
#> 595   31   32 1.933662 1.972404 1.953028 -0.0115536194 0.06866879 -0.1359394538
#> 596   31   32 1.972404 2.008396 1.991781 -0.0170331577 0.06805777 -0.1338247786
#> 597   31   32 2.008396 2.041395 2.025010 -0.0209737067 0.06738640 -0.1356705637
#> 598   31   32 2.041395 2.076143 2.057780 -0.0239871831 0.06673397 -0.1385027430
#> 599   31   32 2.076143 2.117286 2.094506 -0.0262384886 0.06612673 -0.1397353386
#> 600   31   32 2.117286 2.163326 2.140066 -0.0274077957 0.06562651 -0.1406317969
#> 601   31   32 2.163326 2.205605 2.186586 -0.0269807910 0.06536974 -0.1412890633
#> 602   31   32 2.205605 2.246900 2.224624 -0.0256775495 0.06528727 -0.1414788257
#> 603   31   32 2.246900 2.293677 2.269176 -0.0233822781 0.06528844 -0.1414991816
#> 604   31   32 2.293677 2.343877 2.318177 -0.0202663320 0.06540078 -0.1414132359
#> 605   31   32 2.343877 2.403865 2.369576 -0.0166802160 0.06564403 -0.1412748506
#> 606   31   32 2.403865 2.496138 2.438154 -0.0117748181 0.06609354 -0.1372701281
#> 607   31   32 2.496138 2.627070 2.554122 -0.0035499287 0.06677903 -0.1220904088
#> 608   31   32 2.627070 3.622562 2.700018  0.0065981010 0.06829750 -0.1120826522
#> 609   32   33 1.062245 1.699981 1.648694  0.0142789431 0.04326235 -0.0482480053
#> 610   32   33 1.699981 1.775368 1.751268  0.0135566009 0.05952678 -0.0813664288
#> 611   32   33 1.775368 1.835269 1.799468  0.0097851247 0.06439899 -0.0974216426
#> 612   32   33 1.835269 1.892682 1.871069  0.0005348386 0.06813958 -0.1191204416
#> 613   32   33 1.892682 1.933662 1.914296 -0.0062394680 0.06874357 -0.1298737142
#> 614   32   33 1.933662 1.972404 1.953028 -0.0123200103 0.06855164 -0.1359394538
#> 615   32   33 1.972404 2.008396 1.991781 -0.0178598870 0.06794024 -0.1338247786
#> 616   32   33 2.008396 2.041395 2.025010 -0.0218497170 0.06728103 -0.1364399071
#> 617   32   33 2.041395 2.076143 2.057780 -0.0249111339 0.06665605 -0.1396828229
#> 618   32   33 2.076143 2.117286 2.094506 -0.0272169929 0.06610076 -0.1415636178
#> 619   32   33 2.117286 2.163326 2.140066 -0.0284566717 0.06569544 -0.1413325028
#> 620   32   33 2.163326 2.205605 2.186586 -0.0281043167 0.06556221 -0.1412890633
#> 621   32   33 2.205605 2.246900 2.224624 -0.0268623898 0.06559120 -0.1414788257
#> 622   32   33 2.246900 2.293677 2.269176 -0.0246360683 0.06572366 -0.1414991816
#> 623   32   33 2.293677 2.343877 2.318177 -0.0215884789 0.06596979 -0.1414132359
#> 624   32   33 2.343877 2.403865 2.369576 -0.0180628669 0.06633206 -0.1412748506
#> 625   32   33 2.403865 2.496138 2.438154 -0.0132218988 0.06689986 -0.1372701281
#> 626   32   33 2.496138 2.627070 2.554122 -0.0050944930 0.06769846 -0.1220904088
#> 627   32   33 2.627070 3.622562 2.700018  0.0048862979 0.06932200 -0.1147322239
#> 628   33   34 1.062245 1.699981 1.648694  0.0140195550 0.04340174 -0.0482480053
#> 629   33   34 1.699981 1.775368 1.751268  0.0132144562 0.05971818 -0.0813664288
#> 630   33   34 1.775368 1.835269 1.799468  0.0094160905 0.06460670 -0.0974216426
#> 631   33   34 1.835269 1.892682 1.871069  0.0001252188 0.06836980 -0.1191204416
#> 632   33   34 1.892682 1.933662 1.914296 -0.0066828669 0.06899297 -0.1298737142
#> 633   33   34 1.933662 1.972404 1.953028 -0.0128036324 0.06882455 -0.1359394538
#> 634   33   34 1.972404 2.008396 1.991781 -0.0183942414 0.06824215 -0.1338247786
#> 635   33   34 2.008396 2.041395 2.025010 -0.0224355018 0.06760998 -0.1364399071
#> 636   33   34 2.041395 2.076143 2.057780 -0.0255536704 0.06701078 -0.1396828229
#> 637   33   34 2.076143 2.117286 2.094506 -0.0279283847 0.06647981 -0.1415636178
#> 638   33   34 2.117286 2.163326 2.140066 -0.0292577253 0.06609357 -0.1475912742
#> 639   33   34 2.163326 2.205605 2.186586 -0.0289973833 0.06596445 -0.1497812196
#> 640   33   34 2.205605 2.246900 2.224624 -0.0278280645 0.06598537 -0.1500879824
#> 641   33   34 2.246900 2.293677 2.269176 -0.0256811121 0.06609721 -0.1499583314
#> 642   33   34 2.293677 2.343877 2.318177 -0.0227116750 0.06631080 -0.1487062260
#> 643   33   34 2.343877 2.403865 2.369576 -0.0192574120 0.06663386 -0.1454461357
#> 644   33   34 2.403865 2.496138 2.438154 -0.0144995135 0.06714988 -0.1372701281
#> 645   33   34 2.496138 2.627070 2.554122 -0.0065160473 0.06785346 -0.1220904088
#> 646   33   34 2.627070 3.622562 2.700018  0.0032235338 0.06924716 -0.1147322239
#> 647   34   35 1.062245 1.699981 1.648694  0.0139764939 0.04360264 -0.0482480053
#> 648   34   35 1.699981 1.775368 1.751268  0.0130049181 0.06014028 -0.0813664288
#> 649   34   35 1.775368 1.835269 1.799468  0.0090626166 0.06515566 -0.0974216426
#> 650   34   35 1.835269 1.892682 1.871069 -0.0005294976 0.06910245 -0.1191204416
#> 651   34   35 1.892682 1.933662 1.914296 -0.0075642139 0.06981960 -0.1298737142
#> 652   34   35 1.933662 1.972404 1.953028 -0.0139081997 0.06972200 -0.1363321036
#> 653   34   35 1.972404 2.008396 1.991781 -0.0197322161 0.06920164 -0.1422144159
#> 654   34   35 2.008396 2.041395 2.025010 -0.0239743782 0.06862022 -0.1452448574
#> 655   34   35 2.041395 2.076143 2.057780 -0.0272853257 0.06807193 -0.1471889622
#> 656   34   35 2.076143 2.117286 2.094506 -0.0298637996 0.06759956 -0.1484937499
#> 657   34   35 2.117286 2.163326 2.140066 -0.0314207089 0.06728343 -0.1557498273
#> 658   34   35 2.163326 2.205605 2.186586 -0.0313592406 0.06721285 -0.1538255489
#> 659   34   35 2.205605 2.246900 2.224624 -0.0303271303 0.06726551 -0.1563149351
#> 660   34   35 2.246900 2.293677 2.269176 -0.0283145129 0.06739395 -0.1564347523
#> 661   34   35 2.293677 2.343877 2.318177 -0.0254654104 0.06760422 -0.1529779356
#> 662   34   35 2.343877 2.403865 2.369576 -0.0221135581 0.06790981 -0.1459414164
#> 663   34   35 2.403865 2.496138 2.438154 -0.0174641826 0.06840156 -0.1381535498
#> 664   34   35 2.496138 2.627070 2.554122 -0.0096023425 0.06911852 -0.1301170541
#> 665   34   35 2.627070 3.622562 2.700018  0.0001073632 0.07066046 -0.1370986717
#> 666   35   36 1.062245 1.699981 1.648694  0.0133770422 0.04389215 -0.0567147207
#> 667   35   36 1.699981 1.775368 1.751268  0.0119940680 0.06061527 -0.1017019827
#> 668   35   36 1.775368 1.835269 1.799468  0.0078494246 0.06577800 -0.1177341320
#> 669   35   36 1.835269 1.892682 1.871069 -0.0020404675 0.07000553 -0.1326845488
#> 670   35   36 1.892682 1.933662 1.914296 -0.0092553823 0.07089099 -0.1366121376
#> 671   35   36 1.933662 1.972404 1.953028 -0.0157650272 0.07090868 -0.1380246075
#> 672   35   36 1.972404 2.008396 1.991781 -0.0217621119 0.07044328 -0.1478997489
#> 673   35   36 2.008396 2.041395 2.025010 -0.0261603686 0.06984755 -0.1542269120
#> 674   35   36 2.041395 2.076143 2.057780 -0.0296329830 0.06922804 -0.1580101220
#> 675   35   36 2.076143 2.117286 2.094506 -0.0324016887 0.06862099 -0.1595737991
#> 676   35   36 2.117286 2.163326 2.140066 -0.0342064728 0.06809920 -0.1582600922
#> 677   35   36 2.163326 2.205605 2.186586 -0.0344091537 0.06783995 -0.1657904541
#> 678   35   36 2.205605 2.246900 2.224624 -0.0335995816 0.06779578 -0.1683132779
#> 679   35   36 2.246900 2.293677 2.269176 -0.0318537755 0.06789950 -0.1664660229
#> 680   35   36 2.293677 2.343877 2.318177 -0.0293046251 0.06818763 -0.1604836935
#> 681   35   36 2.343877 2.403865 2.369576 -0.0262729228 0.06865204 -0.1522875638
#> 682   35   36 2.403865 2.496138 2.438154 -0.0220537929 0.06935725 -0.1523238549
#> 683   35   36 2.496138 2.627070 2.554122 -0.0148995645 0.06993463 -0.1454711899
#> 684   35   36 2.627070 3.622562 2.700018 -0.0059739661 0.06983701 -0.1414376326
#> 685   36   37 1.062245 1.699981 1.648694  0.0139039714 0.04516894 -0.0566386897
#> 686   36   37 1.699981 1.775368 1.751268  0.0129041035 0.06253196 -0.0965044822
#> 687   36   37 1.775368 1.835269 1.799468  0.0089482880 0.06794141 -0.1093199979
#> 688   36   37 1.835269 1.892682 1.871069 -0.0006717863 0.07251948 -0.1213992287
#> 689   36   37 1.892682 1.933662 1.914296 -0.0077334535 0.07370434 -0.1308006375
#> 690   36   37 1.933662 1.972404 1.953028 -0.0141116101 0.07413610 -0.1380246075
#> 691   36   37 1.972404 2.008396 1.991781 -0.0199814035 0.07428705 -0.1478997489
#> 692   36   37 2.008396 2.041395 2.025010 -0.0242729233 0.07440431 -0.1542269120
#> 693   36   37 2.041395 2.076143 2.057780 -0.0276418607 0.07464456 -0.1683696691
#> 694   36   37 2.076143 2.117286 2.094506 -0.0302960912 0.07513872 -0.1860350751
#> 695   36   37 2.117286 2.163326 2.140066 -0.0319623899 0.07607008 -0.1853913178
#> 696   36   37 2.163326 2.205605 2.186586 -0.0320307486 0.07724430 -0.1842426627
#> 697   36   37 2.205605 2.246900 2.224624 -0.0311200234 0.07824723 -0.1837759108
#> 698   36   37 2.246900 2.293677 2.269176 -0.0292698042 0.07937653 -0.1818099875
#> 699   36   37 2.293677 2.343877 2.318177 -0.0266273718 0.08051432 -0.1799701919
#> 700   36   37 2.343877 2.403865 2.369576 -0.0235236221 0.08156603 -0.1788869293
#> 701   36   37 2.403865 2.496138 2.438154 -0.0192429714 0.08265780 -0.1781616255
#> 702   36   37 2.496138 2.627070 2.554122 -0.0120200840 0.08332159 -0.1776476401
#> 703   36   37 2.627070 3.622562 2.700018 -0.0029619967 0.08317234 -0.1649426065
#>           CIMax Effect
#> 1    0.15557326       
#> 2    0.20909942       
#> 3    0.23867526       
#> 4    0.25691781       
#> 5    0.26074617       
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#> 35   0.25667043       
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#> 37   0.28614422       
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#> 93   0.28736496      +
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#> 133  0.32128643      +
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#> 191  0.16095661       
#> 192  0.16849378       
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#> 195 -0.07417714      -
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#> 198 -0.42175624      -
#> 199 -0.51365515      -
#> 200 -0.62444279      -
#> 201 -0.74105760      -
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#> 205 -1.00172532      -
#> 206 -1.00966300      -
#> 207 -1.00799473      -
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#> 209 -0.99534816      -
#> 210  0.16095661       
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#> 214 -0.07622235      -
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#> 218 -0.53096297      -
#> 219 -0.64229228      -
#> 220 -0.76128796      -
#> 221 -0.85921073      -
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#> 224 -1.01192625      -
#> 225 -1.02225045      -
#> 226 -1.02475002      -
#> 227 -1.01915846      -
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#> 229  0.15254819       
#> 230  0.16849378       
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#> 232  0.03115840       
#> 233 -0.07622235      -
#> 234 -0.19516670      -
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#> 237 -0.53533188      -
#> 238 -0.64755847      -
#> 239 -0.76565080      -
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#> 243 -1.02410586      -
#> 244 -1.04161208      -
#> 245 -1.05046512      -
#> 246 -1.04356260      -
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#> 248  0.15254819       
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#> 251  0.03115840       
#> 252 -0.07622235      -
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#> 256 -0.53533188      -
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#> 286  0.16467858       
#> 287  0.22897043       
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#> 290  0.24836815       
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#> 301  0.26299360       
#> 302  0.26165167      +
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#> 316  0.24665389       
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#> 339  0.23930912      +
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#> 550  0.17829857       
#> 551  0.18567856       
#> 552  0.11619485       
#> 553  0.14431008       
#> 554  0.15112758       
#> 555  0.15290924       
#> 556  0.14791126       
#> 557  0.13264606       
#> 558  0.11988502       
#> 559  0.11268506       
#> 560  0.11561879       
#> 561  0.12079953       
#> 562  0.12846110       
#> 563  0.13147642       
#> 564  0.14007590       
#> 565  0.14256899       
#> 566  0.14183261       
#> 567  0.13854092       
#> 568  0.13771232       
#> 569  0.14181676       
#> 570  0.16616539       
#> 571  0.11619485       
#> 572  0.14431008       
#> 573  0.15112758       
#> 574  0.15290924       
#> 575  0.14791126       
#> 576  0.13264606       
#> 577  0.11988502       
#> 578  0.11268506       
#> 579  0.11561879       
#> 580  0.12079953       
#> 581  0.12846110       
#> 582  0.13147642       
#> 583  0.14007590       
#> 584  0.14256899       
#> 585  0.14183261       
#> 586  0.13854092       
#> 587  0.13771232       
#> 588  0.14181676       
#> 589  0.16616539       
#> 590  0.11143340       
#> 591  0.14214316       
#> 592  0.13892510       
#> 593  0.12574124       
#> 594  0.11874029       
#> 595  0.11366165       
#> 596  0.11137645       
#> 597  0.11133034       
#> 598  0.10669701       
#> 599  0.10492974       
#> 600  0.10664567       
#> 601  0.11070783       
#> 602  0.11438621       
#> 603  0.11781530       
#> 604  0.11963246       
#> 605  0.11927373       
#> 606  0.12155730       
#> 607  0.13291722       
#> 608  0.15730672       
#> 609  0.11143340       
#> 610  0.14214316       
#> 611  0.13892510       
#> 612  0.12574124       
#> 613  0.11874029       
#> 614  0.11366165       
#> 615  0.11137645       
#> 616  0.11133034       
#> 617  0.10669701       
#> 618  0.10492974       
#> 619  0.10664567       
#> 620  0.11070783       
#> 621  0.11438621       
#> 622  0.11781530       
#> 623  0.11963246       
#> 624  0.11927373       
#> 625  0.12155730       
#> 626  0.13291722       
#> 627  0.15730672       
#> 628  0.11143340       
#> 629  0.14180648       
#> 630  0.13890493       
#> 631  0.12567977       
#> 632  0.11866823       
#> 633  0.11366165       
#> 634  0.11137645       
#> 635  0.11133034       
#> 636  0.10664780       
#> 637  0.10396247       
#> 638  0.09311856       
#> 639  0.08594305       
#> 640  0.08888931       
#> 641  0.09408030       
#> 642  0.10124074       
#> 643  0.10960960       
#> 644  0.11603828       
#> 645  0.12269279       
#> 646  0.15730672       
#> 647  0.11142850       
#> 648  0.14180648       
#> 649  0.13890493       
#> 650  0.12567977       
#> 651  0.11866823       
#> 652  0.11360897       
#> 653  0.11130692       
#> 654  0.10800059       
#> 655  0.10268299       
#> 656  0.09983974       
#> 657  0.09297743       
#> 658  0.08578313       
#> 659  0.08869876       
#> 660  0.09362037       
#> 661  0.09474419       
#> 662  0.09926627       
#> 663  0.10741667       
#> 664  0.12046662       
#> 665  0.14794355       
#> 666  0.11596890       
#> 667  0.12192017       
#> 668  0.12778503       
#> 669  0.12283721       
#> 670  0.11606173       
#> 671  0.10924760       
#> 672  0.10301255       
#> 673  0.09622964       
#> 674  0.09017180       
#> 675  0.08392273       
#> 676  0.08319102       
#> 677  0.08542188       
#> 678  0.08841847       
#> 679  0.09362037       
#> 680  0.09321797       
#> 681  0.09354493       
#> 682  0.10341691       
#> 683  0.11777156       
#> 684  0.12807981       
#> 685  0.11845123       
#> 686  0.14381345       
#> 687  0.14044792       
#> 688  0.13499246       
#> 689  0.14276447       
#> 690  0.14923104       
#> 691  0.13685365       
#> 692  0.13045256       
#> 693  0.14379686       
#> 694  0.15492594       
#> 695  0.17662260       
#> 696  0.18358664       
#> 697  0.18026192       
#> 698  0.17404608       
#> 699  0.17843116       
#> 700  0.18461969       
#> 701  0.19664023       
#> 702  0.20003109       
#> 703  0.20744684       
#> 
#> $matfit
#>                        [,1]       [,2]       [,3]       [,4]       [,5]
#> 1.64869392029419 0.05180048 0.05396632 0.05493091 0.06414937 0.06459185
#> 1.75126810787332 0.08075873 0.08426523 0.08611785 0.09974032 0.10052097
#> 1.79946777896389 0.09276853 0.09690120 0.09921633 0.11449299 0.11545232
#> 1.87106930768594 0.10646339 0.11146883 0.11443276 0.13150204 0.13273429
#> 1.91429554166968 0.11176650 0.11726309 0.12056428 0.13837052 0.13976728
#> 1.95302761682418 0.11448727 0.12040581 0.12396292 0.14226395 0.14380623
#> 1.99178060312141 0.11535644 0.12168493 0.12545198 0.14413885 0.14582389
#> 2.02501049762032 0.11478880 0.12146209 0.12537376 0.14433556 0.14613968
#> 2.05778004489866 0.11327292 0.12028172 0.12430683 0.14351028 0.14542749
#> 2.09450607114123 0.11079979 0.11817971 0.12230194 0.14175830 0.14379502
#> 2.14006616349627 0.10725720 0.11508867 0.11929507 0.13905450 0.14122459
#> 2.18658617913116 0.10392018 0.11219772 0.11645814 0.13652100 0.13880445
#> 2.22462355152433 0.10189879 0.11052449 0.11481132 0.13511534 0.13747040
#> 2.26917603086292 0.10066343 0.10967079 0.11397397 0.13454594 0.13695782
#> 2.31817718775388 0.10079275 0.11017840 0.11448742 0.13532832 0.13776803
#> 2.36957596181032 0.10237423 0.11210150 0.11640984 0.13750017 0.13993257
#> 2.43815433799455 0.10604360 0.11613331 0.12044378 0.14182519 0.14420055
#> 2.55412171880947 0.11396114 0.12445732 0.12883339 0.15069128 0.15289703
#> 2.70001802940495 0.12399933 0.13480135 0.13942805 0.16200349 0.16396830
#>                        [,6]       [,7]       [,8]       [,9]      [,10]
#> 1.64869392029419 0.06569109 0.06611845 0.06606064 0.06684563 0.07003336
#> 1.75126810787332 0.10249080 0.10288573 0.10280970 0.10383399 0.10816282
#> 1.79946777896389 0.11789235 0.11814166 0.11801719 0.11908353 0.12364275
#> 1.87106930768594 0.13589697 0.13575892 0.13547343 0.13652632 0.14101182
#> 1.91429554166968 0.14336067 0.14290853 0.14246630 0.14348399 0.14773198
#> 1.95302761682418 0.14777294 0.14700973 0.14639162 0.14737247 0.15133490
#> 1.99178060312141 0.15014844 0.14906646 0.14824550 0.14919200 0.15284205
#> 2.02501049762032 0.15075788 0.14941201 0.14840208 0.14932480 0.15271303
#> 2.05778004489866 0.15032430 0.14873895 0.14753465 0.14844054 0.15159371
#> 2.09450607114123 0.14899368 0.14717627 0.14575011 0.14664491 0.14957446
#> 2.14006616349627 0.14678779 0.14474963 0.14304848 0.14393870 0.14665677
#> 2.18658617913116 0.14473478 0.14255644 0.14057863 0.14147009 0.14404273
#> 2.22462355152433 0.14369958 0.14146975 0.13926964 0.14016301 0.14265938
#> 2.26917603086292 0.14353416 0.14130749 0.13885220 0.13974589 0.14218738
#> 2.31817718775388 0.14471540 0.14255312 0.13982671 0.14071707 0.14312440
#> 2.36957596181032 0.14724375 0.14519102 0.14219872 0.14308321 0.14546810
#> 2.43815433799455 0.15193262 0.15004741 0.14674871 0.14763054 0.14998698
#> 2.55412171880947 0.16113599 0.15948821 0.15584199 0.15677096 0.15905391
#> 2.70001802940495 0.17254915 0.17106646 0.16724564 0.16835181 0.17053551
#>                         [,11]        [,12]       [,13]        [,14]
#> 1.64869392029419  0.053100077  0.053222684  0.05215213  0.051914006
#> 1.75126810787332  0.035078458  0.035470088  0.03351215  0.033022201
#> 1.79946777896389 -0.004879571 -0.004266147 -0.00671536 -0.007376215
#> 1.87106930768594 -0.118521057 -0.117480508 -0.12069936 -0.121694223
#> 1.91429554166968 -0.220434181 -0.219121822 -0.22280473 -0.224051106
#> 1.95302761682418 -0.330122892 -0.328599818 -0.33268394 -0.334184676
#> 1.99178060312141 -0.452033660 -0.450366083 -0.45482817 -0.456604074
#> 2.02501049762032 -0.561102051 -0.559385216 -0.56414666 -0.566167614
#> 2.05778004489866 -0.667847326 -0.666160574 -0.67119074 -0.673454098
#> 2.09450607114123 -0.781040242 -0.779481192 -0.78477798 -0.787304989
#> 2.14006616349627 -0.904613943 -0.903332242 -0.90890630 -0.911735662
#> 2.18658617913116 -1.005629537 -1.004719830 -1.01051610 -1.013613834
#> 2.22462355152433 -1.067938532 -1.067355906 -1.07329092 -1.076572680
#> 2.26917603086292 -1.119328122 -1.119108894 -1.12516283 -1.128618161
#> 2.31817718775388 -1.153663749 -1.153779458 -1.15991891 -1.163514741
#> 2.36957596181032 -1.171746054 -1.172119108 -1.17830932 -1.182000717
#> 2.43815433799455 -1.179027818 -1.179605158 -1.18582219 -1.189570309
#> 2.55412171880947 -1.174217869 -1.174915696 -1.18113009 -1.184845039
#> 2.70001802940495 -1.162879700 -1.163604404 -1.16980436 -1.173405632
#>                         [,15]      [,16]      [,17]      [,18]      [,19]
#> 1.64869392029419  0.052387520 0.06664872 0.06613325 0.06417024 0.06499086
#> 1.75126810787332  0.034117078 0.09734554 0.09647805 0.09333214 0.09499111
#> 1.79946777896389 -0.005848129 0.10708969 0.10603083 0.10248612 0.10472269
#> 1.87106930768594 -0.119350172 0.11411532 0.11273623 0.10898935 0.11233535
#> 1.91429554166968 -0.221132069 0.11459133 0.11299530 0.10938884 0.11353898
#> 1.95302761682418 -0.330720025 0.11342362 0.11161848 0.10829302 0.11322714
#> 1.99178060312141 -0.452588994 0.11149724 0.10947139 0.10654126 0.11229363
#> 2.02501049762032 -0.561697371 0.10975614 0.10753480 0.10500171 0.11146070
#> 2.05778004489866 -0.668567887 0.10831254 0.10589569 0.10377578 0.11091735
#> 2.09450607114123 -0.782009636 0.10729406 0.10465800 0.10299311 0.11086350
#> 2.14006616349627 -0.906038716 0.10713187 0.10422778 0.10307139 0.11176788
#> 2.18658617913116 -1.007641486 0.10823631 0.10506614 0.10433040 0.11376066
#> 2.22462355152433 -1.070474192 0.10995992 0.10657932 0.10610501 0.11604544
#> 2.26917603086292 -1.122470220 0.11268675 0.10906969 0.10881487 0.11924925
#> 2.31817718775388 -1.157405368 0.11626533 0.11240511 0.11230670 0.12316028
#> 2.36957596181032 -1.175995901 0.12035652 0.11626883 0.11627198 0.12743602
#> 2.43815433799455 -1.183741531 0.12596996 0.12164108 0.12173107 0.13312719
#> 2.55412171880947 -1.179268461 0.13538044 0.13084157 0.13104275 0.14246057
#> 2.70001802940495 -1.167983290 0.14676876 0.14223827 0.14253948 0.15362953
#>                       [,20]      [,21]      [,22]      [,23]      [,24]
#> 1.64869392029419 0.06489489 0.06409413 0.06311105 0.06236427 0.05969989
#> 1.75126810787332 0.09479458 0.09354190 0.09198413 0.09052699 0.08580423
#> 1.79946777896389 0.10447958 0.10303773 0.10123252 0.09940342 0.09364465
#> 1.87106930768594 0.11204580 0.11038030 0.10827197 0.10591478 0.09869596
#> 1.91429554166968 0.11324247 0.11147905 0.10923073 0.10658936 0.09858641
#> 1.95302761682418 0.11294052 0.11111191 0.10876477 0.10589481 0.09727005
#> 1.99178060312141 0.11203239 0.11015745 0.10773402 0.10465693 0.09549161
#> 2.02501049762032 0.11123300 0.10933129 0.10685806 0.10361586 0.09405176
#> 2.05778004489866 0.11073255 0.10881442 0.10630415 0.10290557 0.09300418
#> 2.09450607114123 0.11073738 0.10881074 0.10627120 0.10269954 0.09248140
#> 2.14006616349627 0.11172861 0.10980320 0.10724285 0.10345300 0.09292218
#> 2.18658617913116 0.11382431 0.11191037 0.10934491 0.10532425 0.09455211
#> 2.22462355152433 0.11620229 0.11430292 0.11174566 0.10753090 0.09660942
#> 2.26917603086292 0.11952270 0.11764362 0.11511198 0.11066816 0.09961532
#> 2.31817718775388 0.12356580 0.12170990 0.11923033 0.11454074 0.10338533
#> 2.36957596181032 0.12797577 0.12614231 0.12374910 0.11881957 0.10759188
#> 2.43815433799455 0.13382284 0.13201400 0.12978948 0.12458407 0.11330250
#> 2.55412171880947 0.14332558 0.14154713 0.13969638 0.13415880 0.12287616
#> 2.70001802940495 0.15456695 0.15281646 0.15133373 0.14556491 0.13440228
#>                       [,25]      [,26]      [,27]       [,28]        [,29]
#> 1.64869392029419 0.05754615 0.04189604 0.03435796 0.027649269  0.017925134
#> 1.75126810787332 0.08213101 0.05574444 0.04395684 0.033928751  0.019436577
#> 1.79946777896389 0.08923206 0.05787751 0.04425310 0.032960207  0.016660279
#> 1.87106930768594 0.09325978 0.05551703 0.03958236 0.026923453  0.008666921
#> 1.91429554166968 0.09260338 0.05179667 0.03473756 0.021537346  0.002490677
#> 1.95302761682418 0.09085008 0.04784003 0.02993831 0.016399736 -0.003159720
#> 1.99178060312141 0.08868513 0.04395167 0.02534726 0.011575030 -0.008362068
#> 2.02501049762032 0.08695265 0.04107976 0.02197153 0.008058148 -0.012127704
#> 2.05778004489866 0.08564932 0.03891162 0.01938511 0.005367707 -0.015018042
#> 2.09450607114123 0.08487523 0.03741746 0.01750398 0.003394438 -0.017180256
#> 2.14006616349627 0.08504908 0.03697812 0.01668978 0.002481387 -0.018294945
#> 2.18658617913116 0.08644647 0.03797651 0.01740933 0.003101447 -0.017855569
#> 2.22462355152433 0.08833361 0.03965248 0.01892402 0.004529996 -0.016559852
#> 2.26917603086292 0.09115086 0.04230792 0.02145393 0.006952392 -0.014278338
#> 2.31817718775388 0.09471271 0.04575801 0.02482761 0.010202447 -0.011168148
#> 2.36957596181032 0.09868829 0.04965864 0.02869585 0.013940860 -0.007564822
#> 2.43815433799455 0.10406449 0.05496947 0.03400361 0.019086463 -0.002591792
#> 2.55412171880947 0.11304277 0.06388041 0.04292869 0.027800717  0.005825279
#> 2.70001802940495 0.12390527 0.07470317 0.05374497 0.038520214  0.016178959
#>                         [,30]        [,31]        [,32]         [,33]
#> 1.64869392029419  0.016378339  0.016356596  0.014471183  0.0142789431
#> 1.75126810787332  0.016847692  0.016770580  0.013933284  0.0135566009
#> 1.79946777896389  0.013582880  0.013466107  0.010261368  0.0097851247
#> 1.87106930768594  0.004949831  0.004763898  0.001156103  0.0005348386
#> 1.91429554166968 -0.001537771 -0.001766052 -0.005538366 -0.0062394680
#> 1.95302761682418 -0.007411484 -0.007674109 -0.011553619 -0.0123200103
#> 1.99178060312141 -0.012783990 -0.013074647 -0.017033158 -0.0178598870
#> 2.02501049762032 -0.016655275 -0.016963199 -0.020973707 -0.0218497170
#> 2.05778004489866 -0.019616944 -0.019934864 -0.023987183 -0.0249111339
#> 2.09450607114123 -0.021825804 -0.022146407 -0.026238489 -0.0272169929
#> 2.14006616349627 -0.022959792 -0.023272402 -0.027407796 -0.0284566717
#> 2.18658617913116 -0.022509722 -0.022804696 -0.026980791 -0.0281043167
#> 2.22462355152433 -0.021192125 -0.021469220 -0.025677550 -0.0268623898
#> 2.26917603086292 -0.018879155 -0.019135870 -0.023382278 -0.0246360683
#> 2.31817718775388 -0.015735578 -0.015975577 -0.020266332 -0.0215884789
#> 2.36957596181032 -0.012104575 -0.012337591 -0.016680216 -0.0180628669
#> 2.43815433799455 -0.007108229 -0.007351147 -0.011774818 -0.0132218988
#> 2.55412171880947  0.001337261  0.001037076 -0.003549929 -0.0050944930
#> 2.70001802940495  0.011779365  0.011376108  0.006598101  0.0048862979
#>                          [,34]         [,35]        [,36]         [,37]
#> 1.64869392029419  0.0140195550  0.0139764939  0.013377042  0.0139039714
#> 1.75126810787332  0.0132144562  0.0130049181  0.011994068  0.0129041035
#> 1.79946777896389  0.0094160905  0.0090626166  0.007849425  0.0089482880
#> 1.87106930768594  0.0001252188 -0.0005294976 -0.002040467 -0.0006717863
#> 1.91429554166968 -0.0066828669 -0.0075642139 -0.009255382 -0.0077334535
#> 1.95302761682418 -0.0128036324 -0.0139081997 -0.015765027 -0.0141116101
#> 1.99178060312141 -0.0183942414 -0.0197322161 -0.021762112 -0.0199814035
#> 2.02501049762032 -0.0224355018 -0.0239743782 -0.026160369 -0.0242729233
#> 2.05778004489866 -0.0255536704 -0.0272853257 -0.029632983 -0.0276418607
#> 2.09450607114123 -0.0279283847 -0.0298637996 -0.032401689 -0.0302960912
#> 2.14006616349627 -0.0292577253 -0.0314207089 -0.034206473 -0.0319623899
#> 2.18658617913116 -0.0289973833 -0.0313592406 -0.034409154 -0.0320307486
#> 2.22462355152433 -0.0278280645 -0.0303271303 -0.033599582 -0.0311200234
#> 2.26917603086292 -0.0256811121 -0.0283145129 -0.031853775 -0.0292698042
#> 2.31817718775388 -0.0227116750 -0.0254654104 -0.029304625 -0.0266273718
#> 2.36957596181032 -0.0192574120 -0.0221135581 -0.026272923 -0.0235236221
#> 2.43815433799455 -0.0144995135 -0.0174641826 -0.022053793 -0.0192429714
#> 2.55412171880947 -0.0065160473 -0.0096023425 -0.014899565 -0.0120200840
#> 2.70001802940495  0.0032235338  0.0001073632 -0.005973966 -0.0029619967
#> 
#> $cilower
#>                         [,1]        [,2]        [,3]          [,4]
#> 1.64869392029419 -0.02566559 -0.01992321 -0.02528812 -0.0040281918
#> 1.75126810787332 -0.03616229 -0.02795071 -0.02764054 -0.0115851628
#> 1.79946777896389 -0.05061743 -0.03165700 -0.03181751 -0.0129169673
#> 1.87106930768594 -0.06189445 -0.04393705 -0.04334672 -0.0047469740
#> 1.91429554166968 -0.06386696 -0.05591172 -0.04998356 -0.0070729312
#> 1.95302761682418 -0.07000700 -0.05378676 -0.04844219 -0.0021368695
#> 1.99178060312141 -0.07316508 -0.05583882 -0.04558596  0.0036880079
#> 2.02501049762032 -0.07854924 -0.05599624 -0.04878762  0.0010637936
#> 2.05778004489866 -0.09559501 -0.05476109 -0.05266295 -0.0012516067
#> 2.09450607114123 -0.10674926 -0.05798276 -0.05650937 -0.0023895901
#> 2.14006616349627 -0.10596998 -0.06270902 -0.05775644 -0.0008443261
#> 2.18658617913116 -0.11230840 -0.06004752 -0.05409120 -0.0026646777
#> 2.22462355152433 -0.11361037 -0.05694067 -0.04871255 -0.0032437349
#> 2.26917603086292 -0.10917956 -0.05224750 -0.04582086 -0.0027751280
#> 2.31817718775388 -0.10105742 -0.06158891 -0.04452058 -0.0044853332
#> 2.36957596181032 -0.09258044 -0.05804102 -0.03891231 -0.0021979315
#> 2.43815433799455 -0.10901485 -0.05142520 -0.03448054  0.0026528762
#> 2.55412171880947 -0.10640584 -0.04255512 -0.03370507  0.0136460559
#> 2.70001802940495 -0.11199536 -0.03919575 -0.03726121  0.0195696743
#>                           [,5]          [,6]          [,7]          [,8]
#> 1.64869392029419 -0.0040281918 -0.0030716436 -0.0030716436  0.0011922134
#> 1.75126810787332 -0.0115851628 -0.0052985616 -0.0053323780  0.0036082021
#> 1.79946777896389 -0.0129169673  0.0029884360 -0.0054091912  0.0040215096
#> 1.87106930768594 -0.0040212706  0.0041500784  0.0041500784  0.0102159977
#> 1.91429554166968 -0.0007342728  0.0043105269  0.0043105269  0.0089046006
#> 1.95302761682418  0.0036789281  0.0038282001  0.0038282001  0.0068454041
#> 1.99178060312141  0.0041000201  0.0053071753  0.0053071753  0.0053071753
#> 2.02501049762032  0.0015291836  0.0052447078  0.0052447078  0.0052447078
#> 2.05778004489866 -0.0009735812  0.0034308498  0.0034308498  0.0034308498
#> 2.09450607114123 -0.0023895901  0.0006454727  0.0006454727  0.0006454727
#> 2.14006616349627 -0.0025161050 -0.0025161050 -0.0025161050 -0.0025161050
#> 2.18658617913116 -0.0049266201 -0.0049266201 -0.0049266201 -0.0049266201
#> 2.22462355152433 -0.0060207714 -0.0060207714 -0.0060207714 -0.0060207714
#> 2.26917603086292 -0.0048136836 -0.0048136836 -0.0048136836 -0.0048136836
#> 2.31817718775388 -0.0044693777  0.0007185857  0.0007185857  0.0007185857
#> 2.36957596181032 -0.0020400350  0.0002570846  0.0002570846  0.0002570846
#> 2.43815433799455  0.0025684063  0.0027113623  0.0027113623  0.0027113623
#> 2.55412171880947  0.0123282704  0.0123282704  0.0123282704  0.0123282704
#> 2.70001802940495  0.0178480930  0.0178480930  0.0178480930  0.0178480930
#>                           [,9]         [,10]       [,11]       [,12]
#> 1.64869392029419  0.0014511970  0.0016540593 -0.01417365 -0.01417365
#> 1.75126810787332  0.0056087438  0.0059118274 -0.06735583 -0.06315040
#> 1.79946777896389  0.0085933560  0.0090341856 -0.11789480 -0.11556481
#> 1.87106930768594  0.0102091123  0.0107258977 -0.24566982 -0.24375035
#> 1.91429554166968  0.0088915757  0.0104821063 -0.34948950 -0.34687782
#> 1.95302761682418  0.0068112605  0.0097322949 -0.45699204 -0.45181923
#> 1.99178060312141  0.0041000201  0.0099375535 -0.58557223 -0.58209809
#> 2.02501049762032  0.0015291836  0.0050037998 -0.70955951 -0.70228972
#> 2.05778004489866 -0.0009735812  0.0023681557 -0.82187220 -0.81410026
#> 2.09450607114123 -0.0034574095 -0.0006076555 -0.94385990 -0.92101191
#> 2.14006616349627 -0.0057095177 -0.0039913450 -1.06863469 -1.05385217
#> 2.18658617913116 -0.0068288774 -0.0065983012 -1.16232443 -1.16133108
#> 2.22462355152433 -0.0068598943 -0.0068476150 -1.22439360 -1.21970091
#> 2.26917603086292 -0.0060707867 -0.0048136836 -1.28121568 -1.26725156
#> 2.31817718775388 -0.0049513114  0.0026208861 -1.30877157 -1.29346408
#> 2.36957596181032 -0.0020400350  0.0034656850 -1.31695628 -1.31199127
#> 2.43815433799455  0.0027113623  0.0066260398 -1.32138819 -1.32047517
#> 2.55412171880947  0.0123282704  0.0177202087 -1.32435186 -1.30802821
#> 2.70001802940495  0.0178480930  0.0177935979 -1.32466951 -1.31882877
#>                        [,13]       [,14]       [,15]         [,16]
#> 1.64869392029419 -0.01456868 -0.01417365 -0.01387162 -0.0017939939
#> 1.75126810787332 -0.06411259 -0.06315040 -0.06308691 -0.0029804398
#> 1.79946777896389 -0.11556481 -0.11556481 -0.11400477 -0.0038790846
#> 1.87106930768594 -0.24375035 -0.24375035 -0.24375035 -0.0154475053
#> 1.91429554166968 -0.34687782 -0.34687782 -0.34687782 -0.0180337931
#> 1.95302761682418 -0.45181923 -0.45191340 -0.45191340 -0.0194435134
#> 1.99178060312141 -0.58209809 -0.58209809 -0.58209809 -0.0196744263
#> 2.02501049762032 -0.70228972 -0.70228972 -0.70228972 -0.0189193249
#> 2.05778004489866 -0.81410026 -0.81410026 -0.81410026 -0.0180436891
#> 2.09450607114123 -0.92101191 -0.93444367 -0.93444367 -0.0210576573
#> 2.14006616349627 -1.05385217 -1.06863469 -1.06863469 -0.0163531059
#> 2.18658617913116 -1.16133108 -1.16694439 -1.16694439 -0.0137560856
#> 2.22462355152433 -1.21970091 -1.23768516 -1.23768516 -0.0114463039
#> 2.26917603086292 -1.26725156 -1.28899656 -1.28899656 -0.0119654821
#> 2.31817718775388 -1.30137313 -1.32080593 -1.32080593 -0.0046249876
#> 2.36957596181032 -1.31305228 -1.33524229 -1.33524229 -0.0013236431
#> 2.43815433799455 -1.32054827 -1.33855682 -1.33855682  0.0003017561
#> 2.55412171880947 -1.32516651 -1.33314364 -1.33314364  0.0018686840
#> 2.70001802940495 -1.32484118 -1.34395676 -1.34395676  0.0074612652
#>                          [,17]         [,18]        [,19]        [,20]
#> 1.64869392029419 -0.0017939939 -0.0017847831 -0.001322512 -0.001784783
#> 1.75126810787332 -0.0029804398 -0.0042429969 -0.002906184 -0.002906184
#> 1.79946777896389 -0.0038790846 -0.0090261099 -0.006321818 -0.006321818
#> 1.87106930768594 -0.0154475053 -0.0154153948 -0.011736985 -0.011736985
#> 1.91429554166968 -0.0180337931 -0.0179051425 -0.011300911 -0.011300911
#> 1.95302761682418 -0.0313113581 -0.0192987834 -0.011696150 -0.011696150
#> 1.99178060312141 -0.0295534656 -0.0196189470 -0.011525796 -0.011525796
#> 2.02501049762032 -0.0273438437 -0.0189193249 -0.014789720 -0.014789720
#> 2.05778004489866 -0.0259660568 -0.0173242306 -0.016730298 -0.016730298
#> 2.09450607114123 -0.0256850929 -0.0173368981 -0.014562039 -0.014562039
#> 2.14006616349627 -0.0199138653 -0.0116383624 -0.010265041 -0.010265041
#> 2.18658617913116 -0.0167792987 -0.0105391001 -0.010364122 -0.010364122
#> 2.22462355152433 -0.0168451417 -0.0083982002 -0.007581509 -0.007581509
#> 2.26917603086292 -0.0143074551 -0.0037060345 -0.003529884 -0.003529884
#> 2.31817718775388 -0.0120165664 -0.0003687646  0.001629116  0.001629116
#> 2.36957596181032 -0.0074905972  0.0035483585  0.004873130  0.004873130
#> 2.43815433799455 -0.0023069333  0.0027570625  0.012064030  0.012064030
#> 2.55412171880947 -0.0002796273  0.0050186750  0.019057510  0.019057510
#> 2.70001802940495 -0.0048078073  0.0183873553  0.023414068  0.023414068
#>                         [,21]         [,22]         [,23]       [,24]
#> 1.64869392029419 -0.002332698 -0.0023326983 -0.0021381977 -0.01765248
#> 1.75126810787332 -0.005387275 -0.0063608180 -0.0053866788 -0.02653053
#> 1.79946777896389 -0.009026110 -0.0103690521 -0.0090261099 -0.02975263
#> 1.87106930768594 -0.015415395 -0.0187248763 -0.0154153948 -0.03251223
#> 1.91429554166968 -0.017905143 -0.0220367102 -0.0200720905 -0.03491440
#> 1.95302761682418 -0.019298783 -0.0220456056 -0.0219926129 -0.03825703
#> 1.99178060312141 -0.019618947 -0.0200016762 -0.0198996930 -0.04145882
#> 2.02501049762032 -0.018919325 -0.0189193249 -0.0187507156 -0.04478567
#> 2.05778004489866 -0.017324231 -0.0173242306 -0.0167302983 -0.04844909
#> 2.09450607114123 -0.017336898 -0.0173368981 -0.0145620389 -0.05190082
#> 2.14006616349627 -0.011638362 -0.0116383624 -0.0102650415 -0.05409846
#> 2.18658617913116 -0.010539100 -0.0103851302 -0.0082370761 -0.04858301
#> 2.22462355152433 -0.008398200 -0.0075815094 -0.0068084860 -0.04383227
#> 2.26917603086292 -0.003706034 -0.0037060345 -0.0036967594 -0.03834661
#> 2.31817718775388 -0.002585298 -0.0003687646 -0.0003687646 -0.03284455
#> 2.36957596181032  0.001846596  0.0048315743  0.0027013171 -0.03329080
#> 2.43815433799455  0.002708144  0.0071991717  0.0069944692 -0.03438315
#> 2.55412171880947  0.011162536  0.0187571783  0.0170699423 -0.03498609
#> 2.70001802940495  0.019691864  0.0207821897  0.0207821897 -0.03030764
#>                        [,25]       [,26]       [,27]       [,28]       [,29]
#> 1.64869392029419 -0.01766464 -0.03793877 -0.04674555 -0.04674555 -0.04810729
#> 1.75126810787332 -0.02653053 -0.05890047 -0.07375041 -0.07389773 -0.07801054
#> 1.79946777896389 -0.02975263 -0.06741231 -0.08684438 -0.08891505 -0.09565017
#> 1.87106930768594 -0.03968605 -0.09358876 -0.10546938 -0.10709760 -0.11019029
#> 1.91429554166968 -0.05103704 -0.10867683 -0.11014010 -0.11583974 -0.11929553
#> 1.95302761682418 -0.06134805 -0.11949214 -0.12012155 -0.12324675 -0.12596512
#> 1.99178060312141 -0.06973733 -0.12711664 -0.12893265 -0.13104676 -0.13106701
#> 2.02501049762032 -0.07509501 -0.13014984 -0.13128810 -0.13447195 -0.13449728
#> 2.05778004489866 -0.07399964 -0.12587392 -0.12905017 -0.13826114 -0.13826090
#> 2.09450607114123 -0.07183358 -0.12459301 -0.13171034 -0.13955057 -0.13955055
#> 2.14006616349627 -0.06804659 -0.11845415 -0.13445484 -0.13818880 -0.14045258
#> 2.18658617913116 -0.06331144 -0.11741991 -0.13362537 -0.14058330 -0.14107411
#> 2.22462355152433 -0.05910059 -0.11063753 -0.12808116 -0.13895049 -0.14094908
#> 2.26917603086292 -0.05848219 -0.10388203 -0.12560425 -0.13578939 -0.14034291
#> 2.31817718775388 -0.05716629 -0.10464573 -0.12603004 -0.12929821 -0.13904111
#> 2.36957596181032 -0.05591703 -0.10204176 -0.11859557 -0.12618547 -0.13618461
#> 2.43815433799455 -0.05031951 -0.09843999 -0.11133725 -0.12507344 -0.12537580
#> 2.55412171880947 -0.05177443 -0.09364342 -0.10411684 -0.11125408 -0.11469996
#> 2.70001802940495 -0.03527259 -0.09323326 -0.10074838 -0.10334973 -0.09896767
#>                        [,30]       [,31]       [,32]       [,33]       [,34]
#> 1.64869392029419 -0.04822965 -0.04824801 -0.04824801 -0.04824801 -0.04824801
#> 1.75126810787332 -0.08072562 -0.08078749 -0.08136643 -0.08136643 -0.08136643
#> 1.79946777896389 -0.09568771 -0.09739496 -0.09742164 -0.09742164 -0.09742164
#> 1.87106930768594 -0.11906480 -0.11906480 -0.11912044 -0.11912044 -0.11912044
#> 1.91429554166968 -0.12987371 -0.12987371 -0.12987371 -0.12987371 -0.12987371
#> 1.95302761682418 -0.13593945 -0.13593945 -0.13593945 -0.13593945 -0.13593945
#> 1.99178060312141 -0.13382478 -0.13382478 -0.13382478 -0.13382478 -0.13382478
#> 2.02501049762032 -0.13567056 -0.13567056 -0.13567056 -0.13643991 -0.13643991
#> 2.05778004489866 -0.13850274 -0.13850274 -0.13850274 -0.13968282 -0.13968282
#> 2.09450607114123 -0.14102035 -0.14102035 -0.13973534 -0.14156362 -0.14156362
#> 2.14006616349627 -0.14214704 -0.14214704 -0.14063180 -0.14133250 -0.14759127
#> 2.18658617913116 -0.14130454 -0.14130454 -0.14128906 -0.14128906 -0.14978122
#> 2.22462355152433 -0.14147883 -0.14147883 -0.14147883 -0.14147883 -0.15008798
#> 2.26917603086292 -0.14149918 -0.14149918 -0.14149918 -0.14149918 -0.14995833
#> 2.31817718775388 -0.14129427 -0.14129427 -0.14141324 -0.14141324 -0.14870623
#> 2.36957596181032 -0.13628456 -0.13628456 -0.14127485 -0.14127485 -0.14544614
#> 2.43815433799455 -0.13313201 -0.12545296 -0.13727013 -0.13727013 -0.13727013
#> 2.55412171880947 -0.12288679 -0.11469996 -0.12209041 -0.12209041 -0.12209041
#> 2.70001802940495 -0.09896767 -0.09896767 -0.11208265 -0.11473222 -0.11473222
#>                        [,35]       [,36]       [,37]
#> 1.64869392029419 -0.04824801 -0.05671472 -0.05663869
#> 1.75126810787332 -0.08136643 -0.10170198 -0.09650448
#> 1.79946777896389 -0.09742164 -0.11773413 -0.10932000
#> 1.87106930768594 -0.11912044 -0.13268455 -0.12139923
#> 1.91429554166968 -0.12987371 -0.13661214 -0.13080064
#> 1.95302761682418 -0.13633210 -0.13802461 -0.13802461
#> 1.99178060312141 -0.14221442 -0.14789975 -0.14789975
#> 2.02501049762032 -0.14524486 -0.15422691 -0.15422691
#> 2.05778004489866 -0.14718896 -0.15801012 -0.16836967
#> 2.09450607114123 -0.14849375 -0.15957380 -0.18603508
#> 2.14006616349627 -0.15574983 -0.15826009 -0.18539132
#> 2.18658617913116 -0.15382555 -0.16579045 -0.18424266
#> 2.22462355152433 -0.15631494 -0.16831328 -0.18377591
#> 2.26917603086292 -0.15643475 -0.16646602 -0.18180999
#> 2.31817718775388 -0.15297794 -0.16048369 -0.17997019
#> 2.36957596181032 -0.14594142 -0.15228756 -0.17888693
#> 2.43815433799455 -0.13815355 -0.15232385 -0.17816163
#> 2.55412171880947 -0.13011705 -0.14547119 -0.17764764
#> 2.70001802940495 -0.13709867 -0.14143763 -0.16494261
#> 
#> $ciupper
#>                       [,1]      [,2]      [,3]      [,4]      [,5]      [,6]
#> 1.64869392029419 0.1555733 0.1555733 0.1555733 0.1649812 0.1649812 0.1654261
#> 1.75126810787332 0.2090994 0.2090994 0.2090994 0.2329741 0.2329741 0.2372707
#> 1.79946777896389 0.2386753 0.2386753 0.2386753 0.2521420 0.2521420 0.2571299
#> 1.87106930768594 0.2569178 0.2569178 0.2569178 0.2693076 0.2693076 0.2877810
#> 1.91429554166968 0.2607462 0.2607462 0.2607462 0.2735689 0.2735689 0.2997939
#> 1.95302761682418 0.2677511 0.2671959 0.2671959 0.2797348 0.2797620 0.3070590
#> 1.99178060312141 0.2701681 0.2690106 0.2690106 0.2914459 0.2915496 0.3115957
#> 2.02501049762032 0.2707941 0.2702495 0.2715095 0.2919756 0.2968019 0.3138472
#> 2.05778004489866 0.2705817 0.2699333 0.2703421 0.2916003 0.2916003 0.3150046
#> 2.09450607114123 0.2698431 0.2652373 0.2652373 0.2927280 0.2927280 0.3152626
#> 2.14006616349627 0.2686830 0.2546950 0.2546950 0.2860593 0.2860593 0.3147448
#> 2.18658617913116 0.2677790 0.2603776 0.2603776 0.2728182 0.2799319 0.3139056
#> 2.22462355152433 0.2661387 0.2565654 0.2565654 0.2707010 0.2709215 0.3124316
#> 2.26917603086292 0.2612127 0.2494791 0.2475755 0.2729867 0.2730557 0.3084634
#> 2.31817718775388 0.2555149 0.2534768 0.2532866 0.2760076 0.2760076 0.3049386
#> 2.36957596181032 0.2574280 0.2566704 0.2502852 0.2785881 0.2798010 0.3160020
#> 2.43815433799455 0.2719755 0.2719755 0.2719755 0.2852796 0.2873650 0.3194711
#> 2.55412171880947 0.2861442 0.2861442 0.2861442 0.2950779 0.2952526 0.3264779
#> 2.70001802940495 0.2939170 0.2939170 0.2939170 0.3071270 0.3070429 0.3340165
#>                       [,7]      [,8]      [,9]     [,10]       [,11]
#> 1.64869392029419 0.1651517 0.1651517 0.1651517 0.1754815  0.16095661
#> 1.75126810787332 0.2369086 0.2327501 0.2327501 0.2528421  0.16849378
#> 1.79946777896389 0.2513043 0.2461737 0.2461737 0.2784203  0.13391753
#> 1.87106930768594 0.2723735 0.2723735 0.2723735 0.2987010  0.03115840
#> 1.91429554166968 0.2825068 0.2790443 0.2790443 0.2944969 -0.07417714
#> 1.95302761682418 0.2884597 0.2797801 0.2797801 0.2827160 -0.18967781
#> 1.99178060312141 0.2919455 0.2912662 0.2912662 0.2912662 -0.31301200
#> 2.02501049762032 0.2980461 0.2930193 0.2930193 0.2930193 -0.42175624
#> 2.05778004489866 0.2996957 0.2935262 0.2935262 0.2935262 -0.51365515
#> 2.09450607114123 0.2964328 0.2940049 0.2940049 0.2940049 -0.62444279
#> 2.14006616349627 0.2923240 0.2915384 0.2915384 0.2915384 -0.74105760
#> 2.18658617913116 0.2889054 0.2809479 0.2809479 0.2809479 -0.84862564
#> 2.22462355152433 0.2867615 0.2867615 0.2867615 0.2867615 -0.91696011
#> 2.26917603086292 0.2907523 0.2837330 0.2837330 0.2837330 -0.97505043
#> 2.31817718775388 0.2917828 0.2810675 0.2810675 0.2810675 -1.00172532
#> 2.36957596181032 0.2934814 0.2852750 0.2852750 0.2852750 -1.00966300
#> 2.43815433799455 0.2967735 0.2913012 0.2913012 0.2913012 -1.00799473
#> 2.55412171880947 0.3036289 0.3000352 0.3000352 0.3000352 -0.99959063
#> 2.70001802940495 0.3212864 0.3101179 0.3101179 0.3172898 -0.99534816
#>                        [,12]       [,13]       [,14]       [,15]     [,16]
#> 1.64869392029419  0.16095661  0.15254819  0.15254819  0.15254819 0.1646786
#> 1.75126810787332  0.16849378  0.16849378  0.16849378  0.16849378 0.2289704
#> 1.79946777896389  0.13485518  0.13485518  0.13485518  0.13669172 0.2425998
#> 1.87106930768594  0.03115840  0.03115840  0.03115840  0.03608219 0.2515529
#> 1.91429554166968 -0.07622235 -0.07622235 -0.07622235 -0.07413693 0.2483682
#> 1.95302761682418 -0.18989268 -0.19516670 -0.19516670 -0.18989043 0.2493662
#> 1.99178060312141 -0.31767336 -0.32175554 -0.32175554 -0.31656337 0.2464598
#> 2.02501049762032 -0.42278169 -0.42969281 -0.42969281 -0.42695632 0.2423946
#> 2.05778004489866 -0.53096297 -0.53533188 -0.53533188 -0.53094287 0.2371357
#> 2.09450607114123 -0.64229228 -0.64755847 -0.64755847 -0.63925043 0.2352766
#> 2.14006616349627 -0.76128796 -0.76565080 -0.76834899 -0.75142742 0.2396704
#> 2.18658617913116 -0.85921073 -0.86774051 -0.86781050 -0.84848285 0.2460361
#> 2.22462355152433 -0.92735043 -0.93188426 -0.93188426 -0.91556620 0.2475979
#> 2.26917603086292 -0.98268862 -0.98582306 -0.98582306 -0.97387797 0.2482028
#> 2.31817718775388 -1.01192625 -1.02410586 -1.02410586 -1.00676325 0.2589791
#> 2.36957596181032 -1.02225045 -1.04161208 -1.04161208 -1.01709401 0.2629936
#> 2.43815433799455 -1.02475002 -1.05046512 -1.05046512 -1.02376379 0.2616517
#> 2.55412171880947 -1.01915846 -1.04356260 -1.04356260 -1.02024862 0.2617984
#> 2.70001802940495 -1.00657538 -1.01920161 -1.02097775 -0.99834344 0.2865875
#>                      [,17]     [,18]     [,19]     [,20]     [,21]     [,22]
#> 1.64869392029419 0.1646786 0.1646786 0.1755107 0.1755107 0.1678834 0.1678834
#> 1.75126810787332 0.2289704 0.2289704 0.2393890 0.2393890 0.2325103 0.2325103
#> 1.79946777896389 0.2425998 0.2425998 0.2458087 0.2458087 0.2426355 0.2426355
#> 1.87106930768594 0.2492341 0.2446065 0.2531712 0.2531712 0.2492526 0.2492526
#> 1.91429554166968 0.2493402 0.2459141 0.2541629 0.2541629 0.2493470 0.2493470
#> 1.95302761682418 0.2493662 0.2431698 0.2548048 0.2548048 0.2520621 0.2520621
#> 1.99178060312141 0.2464598 0.2393557 0.2598813 0.2598813 0.2504715 0.2504715
#> 2.02501049762032 0.2424507 0.2361111 0.2624082 0.2624082 0.2491994 0.2491994
#> 2.05778004489866 0.2378142 0.2353029 0.2638859 0.2638859 0.2483613 0.2483613
#> 2.09450607114123 0.2366699 0.2352766 0.2649779 0.2649779 0.2480963 0.2480963
#> 2.14006616349627 0.2405941 0.2396704 0.2662331 0.2662331 0.2524992 0.2524992
#> 2.18658617913116 0.2466539 0.2368613 0.2678625 0.2678625 0.2566048 0.2566048
#> 2.22462355152433 0.2522270 0.2344649 0.2695058 0.2695058 0.2593154 0.2593154
#> 2.26917603086292 0.2586497 0.2317228 0.2716498 0.2716498 0.2659104 0.2714077
#> 2.31817718775388 0.2589791 0.2345619 0.2826122 0.2826122 0.2738408 0.2740863
#> 2.36957596181032 0.2529590 0.2393091 0.2936296 0.2936296 0.2764223 0.2766665
#> 2.43815433799455 0.2508914 0.2450614 0.2976484 0.2976484 0.2801176 0.2803733
#> 2.55412171880947 0.2595093 0.2470273 0.2959828 0.2959828 0.2905305 0.2917991
#> 2.70001802940495 0.2861551 0.2790817 0.3143754 0.3143754 0.2957364 0.3008432
#>                      [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
#> 1.64869392029419 0.1678834 0.1680995 0.1680995 0.1393610 0.1393610 0.1346415
#> 1.75126810787332 0.2325103 0.2393890 0.2393890 0.1945809 0.1945809 0.1905507
#> 1.79946777896389 0.2426355 0.2431354 0.2431354 0.2115382 0.2115382 0.1898073
#> 1.87106930768594 0.2492526 0.2528320 0.2528320 0.2287529 0.2287529 0.1991295
#> 1.91429554166968 0.2493470 0.2536651 0.2536651 0.2268982 0.2156879 0.1993469
#> 1.95302761682418 0.2520621 0.2544767 0.2544767 0.2228040 0.2042351 0.1942732
#> 1.99178060312141 0.2504715 0.2595856 0.2595856 0.2150019 0.1951324 0.1886818
#> 2.02501049762032 0.2491994 0.2621748 0.2621748 0.2087640 0.1913682 0.1876145
#> 2.05778004489866 0.2483613 0.2637357 0.2637357 0.2037170 0.1897515 0.1831471
#> 2.09450607114123 0.2480963 0.2649329 0.2649329 0.1997899 0.1885478 0.1772562
#> 2.14006616349627 0.2524992 0.2662331 0.2662331 0.1975539 0.1895859 0.1796412
#> 2.18658617913116 0.2566048 0.2678625 0.2678625 0.1942273 0.1935531 0.1827437
#> 2.22462355152433 0.2593154 0.2695058 0.2695058 0.1969695 0.1969695 0.1825280
#> 2.26917603086292 0.2614867 0.2716498 0.2716498 0.1970625 0.1968283 0.1869109
#> 2.31817718775388 0.2651361 0.2740863 0.2740863 0.2036150 0.1984049 0.1901460
#> 2.36957596181032 0.2702501 0.2766665 0.2766665 0.2070520 0.2032918 0.1940038
#> 2.43815433799455 0.2796242 0.2803733 0.2803733 0.2108574 0.2076532 0.1992734
#> 2.55412171880947 0.2905305 0.2917991 0.2917991 0.2245706 0.2117328 0.2108598
#> 2.70001802940495 0.2957364 0.3007842 0.3007842 0.2450086 0.2389577 0.2239917
#>                      [,29]     [,30]     [,31]     [,32]     [,33]      [,34]
#> 1.64869392029419 0.1161949 0.1161949 0.1161949 0.1114334 0.1114334 0.11143340
#> 1.75126810787332 0.1443101 0.1443101 0.1443101 0.1421432 0.1421432 0.14180648
#> 1.79946777896389 0.1511276 0.1511276 0.1511276 0.1389251 0.1389251 0.13890493
#> 1.87106930768594 0.1549157 0.1529092 0.1529092 0.1257412 0.1257412 0.12567977
#> 1.91429554166968 0.1495400 0.1479113 0.1479113 0.1187403 0.1187403 0.11866823
#> 1.95302761682418 0.1459449 0.1326461 0.1326461 0.1136616 0.1136616 0.11366165
#> 1.99178060312141 0.1408034 0.1198850 0.1198850 0.1113765 0.1113765 0.11137645
#> 2.02501049762032 0.1380856 0.1126851 0.1126851 0.1113303 0.1113303 0.11133034
#> 2.05778004489866 0.1354413 0.1156188 0.1156188 0.1066970 0.1066970 0.10664780
#> 2.09450607114123 0.1318012 0.1207995 0.1207995 0.1049297 0.1049297 0.10396247
#> 2.14006616349627 0.1297814 0.1284611 0.1284611 0.1066457 0.1066457 0.09311856
#> 2.18658617913116 0.1358526 0.1314764 0.1314764 0.1107078 0.1107078 0.08594305
#> 2.22462355152433 0.1422516 0.1400759 0.1400759 0.1143862 0.1143862 0.08888931
#> 2.26917603086292 0.1488588 0.1425690 0.1425690 0.1178153 0.1178153 0.09408030
#> 2.31817718775388 0.1548087 0.1418326 0.1418326 0.1196325 0.1196325 0.10124074
#> 2.36957596181032 0.1564227 0.1385409 0.1385409 0.1192737 0.1192737 0.10960960
#> 2.43815433799455 0.1653019 0.1377123 0.1377123 0.1215573 0.1215573 0.11603828
#> 2.55412171880947 0.1782986 0.1418168 0.1418168 0.1329172 0.1329172 0.12269279
#> 2.70001802940495 0.1856786 0.1661654 0.1661654 0.1573067 0.1573067 0.15730672
#>                       [,35]      [,36]     [,37]
#> 1.64869392029419 0.11142850 0.11596890 0.1184512
#> 1.75126810787332 0.14180648 0.12192017 0.1438135
#> 1.79946777896389 0.13890493 0.12778503 0.1404479
#> 1.87106930768594 0.12567977 0.12283721 0.1349925
#> 1.91429554166968 0.11866823 0.11606173 0.1427645
#> 1.95302761682418 0.11360897 0.10924760 0.1492310
#> 1.99178060312141 0.11130692 0.10301255 0.1368537
#> 2.02501049762032 0.10800059 0.09622964 0.1304526
#> 2.05778004489866 0.10268299 0.09017180 0.1437969
#> 2.09450607114123 0.09983974 0.08392273 0.1549259
#> 2.14006616349627 0.09297743 0.08319102 0.1766226
#> 2.18658617913116 0.08578313 0.08542188 0.1835866
#> 2.22462355152433 0.08869876 0.08841847 0.1802619
#> 2.26917603086292 0.09362037 0.09362037 0.1740461
#> 2.31817718775388 0.09474419 0.09321797 0.1784312
#> 2.36957596181032 0.09926627 0.09354493 0.1846197
#> 2.43815433799455 0.10741667 0.10341691 0.1966402
#> 2.55412171880947 0.12046662 0.11777156 0.2000311
#> 2.70001802940495 0.14794355 0.12807981 0.2074468
#> 
#> $cenval
#> [1] 0
#> 
#> $cumulative.effect
#>        vals       mean       lower       upper
#> 1  1.648694  1.7592085 -0.09154885  4.96899082
#> 2  1.751268  2.3290081 -0.34455425  6.25455477
#> 3  1.799468  2.3320057 -0.52579472  6.31495908
#> 4  1.871069  1.8992462 -1.05531286  5.69083357
#> 5  1.914296  1.3866298 -1.57885672  5.03475774
#> 6  1.953028  0.7973616 -2.08569517  4.36084284
#> 7  1.991781  0.1259809 -2.72108538  3.59755099
#> 8  2.025010 -0.4782966 -3.23778504  2.89839990
#> 9  2.057780 -1.0673953 -3.71687976  2.32582203
#> 10 2.094506 -1.6847377 -4.21278974  1.70409036
#> 11 2.140066 -2.3422172 -4.77071970  1.00770828
#> 12 2.186586 -2.8546050 -5.20732304  0.55225431
#> 13 2.224624 -3.1466655 -5.48137968  0.35395732
#> 14 2.269176 -3.3544326 -5.72659930  0.02517421
#> 15 2.318177 -3.4455635 -5.94243731 -0.09262657
#> 16 2.369576 -3.4309900 -5.96702084 -0.11706096
#> 17 2.438154 -3.3099764 -5.91352470  0.05833710
#> 18 2.554122 -3.0057468 -5.54827881  0.54793974
#> 19 2.700018 -2.6037805 -5.52188291  0.96480878
#> 
#> $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 
#>  -3.6709715   0.9100783  -0.1872930   0.4559034   0.6918506  -1.3995129 
#>          b1          b2          b3          b4          b5 
#>   1.4340846  -0.7901104  -0.6477930  -1.5312163   0.8374140 
#> 
#> $gamma.ci
#>       (Intercept)        c1          c2        c3        c4        c5       b1
#> 2.5%    -13.78894 0.8130191 -0.28085203 0.3368662 0.5925233 -1.494214 1.227453
#> 97.5%     6.03506 0.9976506 -0.09277002 0.5600574 0.7970808 -1.294687 1.645372
#>               b2         b3        b4        b5
#> 2.5%  -0.9938183 -0.8421516 -1.729942 0.6181955
#> 97.5% -0.5911158 -0.4450495 -1.326933 1.0859545
#> 
#> $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: 0x55c8966ee5d8>
#> 
#> 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] 0.05162186
#> 
#> $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   0.310
#> mod_scale 1.000
#> c1        0.360
#> c2        0.285
#> c3        0.495
#> c4        0.230
#> c5        0.270
#> b1        0.335
#> b2        0.330
#> b3        0.465
#> b4        0.280
#> b5        0.235
#> 
#> $gamma.mean
#> (Intercept)     mod_num     mod_bin   mod_scale          c1          c2 
#>  0.16768515  1.04208367 -0.91861743  0.36065910 -1.56141303  0.55705556 
#>          c3          c4          c5          b1          b2          b3 
#> -0.82596616 -0.22224032 -0.93789982  0.03128203  0.50967711  0.23555868 
#>          b4          b5 
#> -0.73205523  0.28689419 
#> 
#> $gamma.ci
#>       (Intercept)   mod_num   mod_bin mod_scale        c1        c2         c3
#> 2.5%  -0.05807078 0.9774978 -1.043962 0.1502585 -1.627833 0.5028365 -0.8975026
#> 97.5%  0.38353873 1.0962479 -0.778402 0.5606828 -1.491387 0.6232212 -0.7708107
#>               c4         c5          b1        b2         b3         b4
#> 2.5%  -0.2931012 -0.9952310 -0.08945525 0.3600957 0.09159178 -0.8509021
#> 97.5% -0.1578499 -0.8695494  0.16741159 0.6344293 0.35245735 -0.5958559
#>              b5
#> 2.5%  0.1592616
#> 97.5% 0.4033106
#> 
#> $formula
#> y ~ .
#> <environment: 0x55c8966ee5d8>
#> 
#> 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 : 4.206636
#> - e2 : 4.528353
#> - e3 : 4.4905
#> - e4 : 4.139965
#> - e5 : 5.988001
#> 
#> 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] 0.116474
#> 
#> $n
#> [1] 1000
#> 
#> $pip
#>             PIP
#> mod_num   1.000
#> mod_bin   1.000
#> mod_scale 0.535
#> c1        0.455
#> c2        0.590
#> c3        0.495
#> c4        0.695
#> c5        0.610
#> b1        0.650
#> b2        0.625
#> b3        0.470
#> b4        0.510
#> b5        0.490
#> 
#> $gamma.mean
#> (Intercept)     mod_num     mod_bin   mod_scale          c1          c2 
#>  0.04526459  0.99944897  0.39706976 -1.40816367  1.25691171 -0.26628847 
#>          c3          c4          c5          b1          b2          b3 
#>  0.98727564  0.62241557 -0.66005035  0.28759757  1.30293640  0.83912869 
#>          b4          b5 
#> -0.78784049 -0.18914361 
#> 
#> $gamma.ci
#>       (Intercept)   mod_num   mod_bin mod_scale       c1         c2        c3
#> 2.5%   -0.2221875 0.8872065 0.2554920 -1.649626 1.198059 -0.3324668 0.9182489
#> 97.5%   0.3077668 1.0960198 0.5737664 -1.167983 1.333318 -0.2116625 1.0536132
#>              c4         c5        b1      b2        b3         b4          b5
#> 2.5%  0.5662093 -0.7204330 0.1483864 1.16963 0.6984748 -0.9146726 -0.31237088
#> 97.5% 0.6878956 -0.6018155 0.4157815 1.43032 0.9608222 -0.6694865 -0.05896791
#> 
#> $formula
#> y ~ .
#> <environment: 0x55c8966ee5d8>
#> 
#> attr(,"class")
#> [1] "summary.hdlmm"

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


# }