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
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: 0x558f372a4128>
#>
#> $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] 0.8493945
#>
#> $rse
#> [1] 0.1445012
#>
#> $n
#> [1] 926
#>
#> $plot.dat
#> Tmin Tmax Xmin Xmax PredVal Est SD CIMin
#> 1 0 1 1.062245 1.699981 1.648694 0.0851918989 0.05941311 -0.0057100466
#> 2 0 1 1.699981 1.775368 1.751268 0.1306460948 0.08181133 -0.0238416527
#> 3 0 1 1.775368 1.835269 1.799468 0.1469653163 0.08979328 -0.0239773149
#> 4 0 1 1.835269 1.892682 1.871069 0.1597666705 0.09967772 -0.0372469914
#> 5 0 1 1.892682 1.933662 1.914296 0.1598518456 0.10531851 -0.0502015005
#> 6 0 1 1.933662 1.972404 1.953028 0.1552719755 0.11056566 -0.0731141231
#> 7 0 1 1.972404 2.008396 1.991781 0.1470687465 0.11613659 -0.1015164463
#> 8 0 1 2.008396 2.041395 2.025010 0.1380133005 0.12114649 -0.1166408144
#> 9 0 1 2.041395 2.076143 2.057780 0.1281363976 0.12618041 -0.1508069858
#> 10 0 1 2.076143 2.117286 2.094506 0.1170014437 0.13171804 -0.1872730479
#> 11 0 1 2.117286 2.163326 2.140066 0.1046293988 0.13805027 -0.2203850534
#> 12 0 1 2.163326 2.205605 2.186586 0.0950361604 0.14351576 -0.2434374869
#> 13 0 1 2.205605 2.246900 2.224624 0.0899430127 0.14709400 -0.2605059287
#> 14 0 1 2.246900 2.293677 2.269176 0.0869711318 0.15029567 -0.2737433671
#> 15 0 1 2.293677 2.343877 2.318177 0.0866163119 0.15279745 -0.2832643026
#> 16 0 1 2.343877 2.403865 2.369576 0.0882417921 0.15463785 -0.2770533026
#> 17 0 1 2.403865 2.496138 2.438154 0.0916802570 0.15642856 -0.2729064814
#> 18 0 1 2.496138 2.627070 2.554122 0.0981918414 0.15836329 -0.2455252783
#> 19 0 1 2.627070 3.622562 2.700018 0.1074166783 0.15911482 -0.2337035638
#> 20 1 2 1.062245 1.699981 1.648694 0.0837700531 0.06037269 -0.0123803407
#> 21 1 2 1.699981 1.775368 1.751268 0.1307954635 0.07987452 -0.0053646328
#> 22 1 2 1.775368 1.835269 1.799468 0.1493077891 0.08528607 -0.0154798235
#> 23 1 2 1.835269 1.892682 1.871069 0.1679635132 0.08978800 -0.0186323018
#> 24 1 2 1.892682 1.933662 1.914296 0.1733039626 0.09118577 -0.0106250561
#> 25 1 2 1.933662 1.972404 1.953028 0.1745093574 0.09192381 -0.0032738670
#> 26 1 2 1.972404 2.008396 1.991781 0.1729519886 0.09232121 0.0004954789
#> 27 1 2 2.008396 2.041395 2.025010 0.1700782926 0.09246644 0.0015945837
#> 28 1 2 2.041395 2.076143 2.057780 0.1665125888 0.09249277 0.0039833766
#> 29 1 2 2.076143 2.117286 2.094506 0.1624193508 0.09245800 -0.0134732485
#> 30 1 2 2.117286 2.163326 2.140066 0.1582806384 0.09245233 -0.0351108931
#> 31 1 2 2.163326 2.205605 2.186586 0.1560416797 0.09266066 -0.0332202388
#> 32 1 2 2.205605 2.246900 2.224624 0.1559386520 0.09310396 -0.0343974737
#> 33 1 2 2.246900 2.293677 2.269176 0.1575532784 0.09401826 -0.0406230705
#> 34 1 2 2.293677 2.343877 2.318177 0.1607660429 0.09555882 -0.0393887856
#> 35 1 2 2.343877 2.403865 2.369576 0.1647559757 0.09776219 -0.0314323319
#> 36 1 2 2.403865 2.496138 2.438154 0.1698217256 0.10139621 -0.0323343643
#> 37 1 2 2.496138 2.627070 2.554122 0.1771703148 0.10733166 -0.0288357899
#> 38 1 2 2.627070 3.622562 2.700018 0.1866480458 0.11215216 -0.0327832574
#> 39 2 3 1.062245 1.699981 1.648694 0.0852604855 0.05912823 -0.0046117005
#> 40 2 3 1.699981 1.775368 1.751268 0.1339964963 0.07770964 0.0053933857
#> 41 2 3 1.775368 1.835269 1.799468 0.1534429936 0.08279408 0.0111290140
#> 42 2 3 1.835269 1.892682 1.871069 0.1734356448 0.08713605 0.0026895877
#> 43 2 3 1.892682 1.933662 1.914296 0.1794825927 0.08868927 0.0015690586
#> 44 2 3 1.933662 1.972404 1.953028 0.1812331624 0.08973348 0.0023273569
#> 45 2 3 1.972404 2.008396 1.991781 0.1801327418 0.09055985 0.0121786924
#> 46 2 3 2.008396 2.041395 2.025010 0.1775792121 0.09111967 0.0111271737
#> 47 2 3 2.041395 2.076143 2.057780 0.1742622701 0.09154066 0.0082310900
#> 48 2 3 2.076143 2.117286 2.094506 0.1703622304 0.09186510 0.0084200008
#> 49 2 3 2.117286 2.163326 2.140066 0.1663189256 0.09209436 0.0004872498
#> 50 2 3 2.163326 2.205605 2.186586 0.1639838277 0.09223112 -0.0103837391
#> 51 2 3 2.205605 2.246900 2.224624 0.1636398146 0.09236030 -0.0140977096
#> 52 2 3 2.246900 2.293677 2.269176 0.1647850319 0.09262263 -0.0246717941
#> 53 2 3 2.293677 2.343877 2.318177 0.1672816805 0.09314933 -0.0299745977
#> 54 2 3 2.343877 2.403865 2.369576 0.1703820866 0.09409224 -0.0287245723
#> 55 2 3 2.403865 2.496138 2.438154 0.1742587884 0.09606516 -0.0234852617
#> 56 2 3 2.496138 2.627070 2.554122 0.1802586162 0.09993912 -0.0117574710
#> 57 2 3 2.627070 3.622562 2.700018 0.1894973842 0.10287623 -0.0020822357
#> 58 3 4 1.062245 1.699981 1.648694 0.0862450552 0.05823728 0.0010477529
#> 59 3 4 1.699981 1.775368 1.751268 0.1357677331 0.07612687 0.0104138059
#> 60 3 4 1.775368 1.835269 1.799468 0.1556659371 0.08085638 0.0134596205
#> 61 3 4 1.835269 1.892682 1.871069 0.1763988384 0.08473865 0.0206664736
#> 62 3 4 1.892682 1.933662 1.914296 0.1829120974 0.08610545 0.0200170725
#> 63 3 4 1.933662 1.972404 1.953028 0.1850780346 0.08705312 0.0196245110
#> 64 3 4 1.972404 2.008396 1.991781 0.1843805124 0.08783164 0.0143558789
#> 65 3 4 2.008396 2.041395 2.025010 0.1821567811 0.08836064 0.0121950337
#> 66 3 4 2.041395 2.076143 2.057780 0.1791485840 0.08872996 0.0123018874
#> 67 3 4 2.076143 2.117286 2.094506 0.1755757109 0.08893992 0.0105534689
#> 68 3 4 2.117286 2.163326 2.140066 0.1719169848 0.08891589 0.0030138580
#> 69 3 4 2.163326 2.205605 2.186586 0.1699642430 0.08867623 0.0065738334
#> 70 3 4 2.205605 2.246900 2.224624 0.1699379841 0.08844698 0.0123970063
#> 71 3 4 2.246900 2.293677 2.269176 0.1714750799 0.08828700 0.0211629146
#> 72 3 4 2.293677 2.343877 2.318177 0.1744392159 0.08839014 0.0275340042
#> 73 3 4 2.343877 2.403865 2.369576 0.1780740813 0.08892519 0.0326242784
#> 74 3 4 2.403865 2.496138 2.438154 0.1827107830 0.09030448 0.0236336170
#> 75 3 4 2.496138 2.627070 2.554122 0.1899376173 0.09289572 0.0217537036
#> 76 3 4 2.627070 3.622562 2.700018 0.2002232597 0.09446606 0.0318563867
#> 77 4 5 1.062245 1.699981 1.648694 0.0869533258 0.05830187 0.0010477529
#> 78 4 5 1.699981 1.775368 1.751268 0.1371637860 0.07620922 0.0143353012
#> 79 4 5 1.775368 1.835269 1.799468 0.1574882406 0.08094748 0.0198228622
#> 80 4 5 1.835269 1.892682 1.871069 0.1789758561 0.08481121 0.0258437430
#> 81 4 5 1.892682 1.933662 1.914296 0.1860107722 0.08611346 0.0200170725
#> 82 4 5 1.933662 1.972404 1.953028 0.1886805245 0.08694936 0.0212191221
#> 83 4 5 1.972404 2.008396 1.991781 0.1885142880 0.08756333 0.0185612967
#> 84 4 5 2.008396 2.041395 2.025010 0.1867609010 0.08791836 0.0122113244
#> 85 4 5 2.041395 2.076143 2.057780 0.1842231004 0.08809966 0.0151767463
#> 86 4 5 2.076143 2.117286 2.094506 0.1811769456 0.08809526 0.0147297368
#> 87 4 5 2.117286 2.163326 2.140066 0.1781581069 0.08781855 0.0211324869
#> 88 4 5 2.163326 2.205605 2.186586 0.1768293659 0.08734784 0.0307440295
#> 89 4 5 2.205605 2.246900 2.224624 0.1772833050 0.08695555 0.0319171890
#> 90 4 5 2.246900 2.293677 2.269176 0.1793424324 0.08664641 0.0355171989
#> 91 4 5 2.293677 2.343877 2.318177 0.1828255178 0.08666468 0.0366570130
#> 92 4 5 2.343877 2.403865 2.369576 0.1869387073 0.08723301 0.0400782544
#> 93 4 5 2.403865 2.496138 2.438154 0.1921041100 0.08885566 0.0369715215
#> 94 4 5 2.496138 2.627070 2.554122 0.1999444826 0.09206507 0.0396716599
#> 95 4 5 2.627070 3.622562 2.700018 0.2106038817 0.09411785 0.0459614608
#> 96 5 6 1.062245 1.699981 1.648694 0.0881850596 0.05819293 0.0022272022
#> 97 5 6 1.699981 1.775368 1.751268 0.1390648553 0.07588744 0.0143353012
#> 98 5 6 1.775368 1.835269 1.799468 0.1597025989 0.08053521 0.0198228622
#> 99 5 6 1.835269 1.892682 1.871069 0.1816738310 0.08431235 0.0258437430
#> 100 5 6 1.892682 1.933662 1.914296 0.1890340425 0.08558753 0.0320931521
#> 101 5 6 1.933662 1.972404 1.953028 0.1920308468 0.08642245 0.0281993846
#> 102 5 6 1.972404 2.008396 1.991781 0.1922323751 0.08708304 0.0223289873
#> 103 5 6 2.008396 2.041395 2.025010 0.1908278811 0.08754451 0.0232266895
#> 104 5 6 2.041395 2.076143 2.057780 0.1886621969 0.08791318 0.0247827717
#> 105 5 6 2.076143 2.117286 2.094506 0.1860601314 0.08822525 0.0163596275
#> 106 5 6 2.117286 2.163326 2.140066 0.1836177124 0.08846892 0.0236746659
#> 107 5 6 2.163326 2.205605 2.186586 0.1828857429 0.08858440 0.0371121757
#> 108 5 6 2.205605 2.246900 2.224624 0.1838181713 0.08862603 0.0396724942
#> 109 5 6 2.246900 2.293677 2.269176 0.1864117654 0.08869423 0.0496055644
#> 110 5 6 2.293677 2.343877 2.318177 0.1904361711 0.08892522 0.0459864637
#> 111 5 6 2.343877 2.403865 2.369576 0.1950545287 0.08952038 0.0445999921
#> 112 5 6 2.403865 2.496138 2.438154 0.2007905218 0.09102051 0.0460631818
#> 113 5 6 2.496138 2.627070 2.554122 0.2093761252 0.09405911 0.0477448372
#> 114 5 6 2.627070 3.622562 2.700018 0.2207610396 0.09581094 0.0619178477
#> 115 6 7 1.062245 1.699981 1.648694 0.0892170902 0.05670436 0.0022272022
#> 116 6 7 1.699981 1.775368 1.751268 0.1405292125 0.07412401 0.0143353012
#> 117 6 7 1.775368 1.835269 1.799468 0.1612964247 0.07892446 0.0212770638
#> 118 6 7 1.835269 1.892682 1.871069 0.1833513465 0.08323417 0.0344287021
#> 119 6 7 1.892682 1.933662 1.914296 0.1907081418 0.08489260 0.0360776987
#> 120 6 7 1.933662 1.972404 1.953028 0.1936790199 0.08601866 0.0312028996
#> 121 6 7 1.972404 2.008396 1.991781 0.1938438401 0.08686628 0.0340911429
#> 122 6 7 2.008396 2.041395 2.025010 0.1924072495 0.08738515 0.0377173743
#> 123 6 7 2.041395 2.076143 2.057780 0.1902154620 0.08771898 0.0252240855
#> 124 6 7 2.076143 2.117286 2.094506 0.1875963658 0.08790511 0.0279243100
#> 125 6 7 2.117286 2.163326 2.140066 0.1851570209 0.08792171 0.0346272362
#> 126 6 7 2.163326 2.205605 2.186586 0.1844590942 0.08780599 0.0372203794
#> 127 6 7 2.205605 2.246900 2.224624 0.1854414299 0.08770943 0.0397033960
#> 128 6 7 2.246900 2.293677 2.269176 0.1881138636 0.08770030 0.0496055644
#> 129 6 7 2.293677 2.343877 2.318177 0.1922411776 0.08794169 0.0459864637
#> 130 6 7 2.343877 2.403865 2.369576 0.1969730739 0.08861228 0.0445999921
#> 131 6 7 2.403865 2.496138 2.438154 0.2028492225 0.09024897 0.0460631818
#> 132 6 7 2.496138 2.627070 2.554122 0.2116057891 0.09357244 0.0477448372
#> 133 6 7 2.627070 3.622562 2.700018 0.2231023550 0.09566522 0.0619178477
#> 134 7 8 1.062245 1.699981 1.648694 0.0894445010 0.05707832 0.0022272022
#> 135 7 8 1.699981 1.775368 1.751268 0.1403155171 0.07460494 0.0137532870
#> 136 7 8 1.775368 1.835269 1.799468 0.1605797421 0.07939825 0.0202830781
#> 137 7 8 1.835269 1.892682 1.871069 0.1814708784 0.08360850 0.0258998835
#> 138 7 8 1.892682 1.933662 1.914296 0.1879131653 0.08514292 0.0320931521
#> 139 7 8 1.933662 1.972404 1.953028 0.1899762790 0.08610574 0.0272316394
#> 140 7 8 1.972404 2.008396 1.991781 0.1891996801 0.08673726 0.0227903952
#> 141 7 8 2.008396 2.041395 2.025010 0.1869692432 0.08703714 0.0239651215
#> 142 7 8 2.041395 2.076143 2.057780 0.1840385730 0.08714511 0.0249796004
#> 143 7 8 2.076143 2.117286 2.094506 0.1806731281 0.08710628 0.0163596275
#> 144 7 8 2.117286 2.163326 2.140066 0.1774598430 0.08696749 0.0212207209
#> 145 7 8 2.163326 2.205605 2.186586 0.1761598420 0.08693066 0.0246295210
#> 146 7 8 2.205605 2.246900 2.224624 0.1767840292 0.08711335 0.0247447011
#> 147 7 8 2.246900 2.293677 2.269176 0.1791672039 0.08765160 0.0211259263
#> 148 7 8 2.293677 2.343877 2.318177 0.1831003345 0.08865789 0.0256812862
#> 149 7 8 2.343877 2.403865 2.369576 0.1877215963 0.09012692 0.0310863233
#> 150 7 8 2.403865 2.496138 2.438154 0.1935315961 0.09251083 0.0235992177
#> 151 7 8 2.496138 2.627070 2.554122 0.2022595616 0.09578238 0.0245574985
#> 152 7 8 2.627070 3.622562 2.700018 0.2137714230 0.09597212 0.0234059939
#> 153 8 9 1.062245 1.699981 1.648694 0.0891188256 0.05666935 0.0022272022
#> 154 8 9 1.699981 1.775368 1.751268 0.1388116535 0.07339098 0.0137532870
#> 155 8 9 1.775368 1.835269 1.799468 0.1580277417 0.07768177 0.0202830781
#> 156 8 9 1.835269 1.892682 1.871069 0.1766841538 0.08149240 0.0258998835
#> 157 8 9 1.892682 1.933662 1.914296 0.1814394667 0.08330899 0.0282014244
#> 158 8 9 1.933662 1.972404 1.953028 0.1818581235 0.08498312 0.0215717995
#> 159 8 9 1.972404 2.008396 1.991781 0.1793989713 0.08674142 0.0166623536
#> 160 8 9 2.008396 2.041395 2.025010 0.1757657329 0.08826654 0.0086337245
#> 161 8 9 2.041395 2.076143 2.057780 0.1715426839 0.08973462 0.0040936617
#> 162 8 9 2.076143 2.117286 2.094506 0.1668858619 0.09130695 -0.0053823454
#> 163 8 9 2.117286 2.163326 2.140066 0.1623494240 0.09316879 -0.0145846809
#> 164 8 9 2.163326 2.205605 2.186586 0.1600290898 0.09504261 -0.0229095836
#> 165 8 9 2.205605 2.246900 2.224624 0.1600437873 0.09658968 -0.0288549863
#> 166 8 9 2.246900 2.293677 2.269176 0.1619196039 0.09838707 -0.0342070811
#> 167 8 9 2.293677 2.343877 2.318177 0.1654794078 0.10023909 -0.0321782994
#> 168 8 9 2.343877 2.403865 2.369576 0.1698391422 0.10192546 -0.0390047223
#> 169 8 9 2.403865 2.496138 2.438154 0.1754130321 0.10366214 -0.0430693184
#> 170 8 9 2.496138 2.627070 2.554122 0.1838973854 0.10475531 -0.0334980662
#> 171 8 9 2.627070 3.622562 2.700018 0.1952875562 0.10297750 -0.0271248474
#> 172 9 10 1.062245 1.699981 1.648694 0.0888510390 0.05715968 0.0022272022
#> 173 9 10 1.699981 1.775368 1.751268 0.1368979848 0.07462644 0.0053933857
#> 174 9 10 1.775368 1.835269 1.799468 0.1546537635 0.07965143 0.0134276051
#> 175 9 10 1.835269 1.892682 1.871069 0.1702756640 0.08561281 0.0206560540
#> 176 9 10 1.892682 1.933662 1.914296 0.1728111786 0.08968549 0.0201503362
#> 177 9 10 1.933662 1.972404 1.953028 0.1711229828 0.09410223 0.0073285349
#> 178 9 10 1.972404 2.008396 1.991781 0.1665682202 0.09919760 -0.0175372468
#> 179 9 10 2.008396 2.041395 2.025010 0.1612392660 0.10387946 -0.0514402078
#> 180 9 10 2.041395 2.076143 2.057780 0.1555038375 0.10851607 -0.0826118327
#> 181 9 10 2.076143 2.117286 2.094506 0.1493991574 0.11344562 -0.1131223550
#> 182 9 10 2.117286 2.163326 2.140066 0.1434811714 0.11883130 -0.1428427443
#> 183 9 10 2.163326 2.205605 2.186586 0.1402272869 0.12331056 -0.1635662594
#> 184 9 10 2.205605 2.246900 2.224624 0.1397988453 0.12622293 -0.1741180390
#> 185 9 10 2.246900 2.293677 2.269176 0.1414477267 0.12889314 -0.1808438560
#> 186 9 10 2.293677 2.343877 2.318177 0.1450131451 0.13109138 -0.1835451804
#> 187 9 10 2.343877 2.403865 2.369576 0.1495401673 0.13279278 -0.1835098464
#> 188 9 10 2.403865 2.496138 2.438154 0.1554180826 0.13444902 -0.1763582196
#> 189 9 10 2.496138 2.627070 2.554122 0.1643104742 0.13607272 -0.1601547330
#> 190 9 10 2.627070 3.622562 2.700018 0.1759313773 0.13638977 -0.1417269071
#> 191 10 11 1.062245 1.699981 1.648694 0.0711103224 0.05702703 -0.0216165579
#> 192 10 11 1.699981 1.775368 1.751268 0.0643446780 0.07586722 -0.0632550690
#> 193 10 11 1.775368 1.835269 1.799468 0.0288000759 0.08281524 -0.1162137210
#> 194 10 11 1.835269 1.892682 1.871069 -0.0804186141 0.09404474 -0.2473535723
#> 195 10 11 1.892682 1.933662 1.914296 -0.1808078825 0.10241669 -0.3668171133
#> 196 10 11 1.933662 1.972404 1.953028 -0.2895404768 0.11074716 -0.4800988976
#> 197 10 11 1.972404 2.008396 1.991781 -0.4105383286 0.11915598 -0.6131939192
#> 198 10 11 2.008396 2.041395 2.025010 -0.5186195905 0.12577922 -0.7356237393
#> 199 10 11 2.041395 2.076143 2.057780 -0.6240546409 0.13128744 -0.8489529150
#> 200 10 11 2.076143 2.117286 2.094506 -0.7352960301 0.13588195 -0.9618264133
#> 201 10 11 2.117286 2.163326 2.140066 -0.8557706377 0.13909513 -1.0779271885
#> 202 10 11 2.163326 2.205605 2.186586 -0.9531033483 0.13988597 -1.1821469937
#> 203 10 11 2.205605 2.246900 2.224624 -1.0123266360 0.13921263 -1.2341299709
#> 204 10 11 2.246900 2.293677 2.269176 -1.0604283460 0.13762091 -1.2843594921
#> 205 10 11 2.293677 2.343877 2.318177 -1.0920032803 0.13561513 -1.3156535411
#> 206 10 11 2.343877 2.403865 2.369576 -1.1084496682 0.13383773 -1.3309952587
#> 207 10 11 2.403865 2.496138 2.438154 -1.1153848613 0.13251218 -1.3361670492
#> 208 10 11 2.496138 2.627070 2.554122 -1.1119625317 0.13270591 -1.3379143003
#> 209 10 11 2.627070 3.622562 2.700018 -1.1009688718 0.13519407 -1.3369540953
#> 210 11 12 1.062245 1.699981 1.648694 0.0711083412 0.05700662 -0.0216165579
#> 211 11 12 1.699981 1.775368 1.751268 0.0643315675 0.07579295 -0.0632550690
#> 212 11 12 1.775368 1.835269 1.799468 0.0287738111 0.08268958 -0.1162137210
#> 213 11 12 1.835269 1.892682 1.871069 -0.0804800398 0.09381153 -0.2473535723
#> 214 11 12 1.892682 1.933662 1.914296 -0.1809008739 0.10211365 -0.3668171133
#> 215 11 12 1.933662 1.972404 1.953028 -0.2896673583 0.11038940 -0.4800988976
#> 216 11 12 1.972404 2.008396 1.991781 -0.4107018427 0.11875701 -0.6131939192
#> 217 11 12 2.008396 2.041395 2.025010 -0.5188136795 0.12535820 -0.7356237393
#> 218 11 12 2.041395 2.076143 2.057780 -0.6242748819 0.13085799 -0.8489529150
#> 219 11 12 2.076143 2.117286 2.094506 -0.7355368571 0.13546043 -0.9618264133
#> 220 11 12 2.117286 2.163326 2.140066 -0.8560184061 0.13871359 -1.0779271885
#> 221 11 12 2.163326 2.205605 2.186586 -0.9533324824 0.13958803 -1.1821469937
#> 222 11 12 2.205605 2.246900 2.224624 -1.0125211190 0.13902109 -1.2341299709
#> 223 11 12 2.246900 2.293677 2.269176 -1.0605640492 0.13759873 -1.2843594921
#> 224 11 12 2.293677 2.343877 2.318177 -1.0920607559 0.13582383 -1.3156535411
#> 225 11 12 2.343877 2.403865 2.369576 -1.1084228226 0.13430896 -1.3309952587
#> 226 11 12 2.403865 2.496138 2.438154 -1.1152618291 0.13329746 -1.3361670492
#> 227 11 12 2.496138 2.627070 2.554122 -1.1117465649 0.13377467 -1.3379143003
#> 228 11 12 2.627070 3.622562 2.700018 -1.1007224483 0.13623419 -1.3369540953
#> 229 12 13 1.062245 1.699981 1.648694 0.0653580689 0.05778130 -0.0236368731
#> 230 12 13 1.699981 1.775368 1.751268 0.0460847105 0.07740390 -0.0823251673
#> 231 12 13 1.775368 1.835269 1.799468 0.0005415260 0.08424470 -0.1468593382
#> 232 12 13 1.835269 1.892682 1.871069 -0.1279965253 0.09352301 -0.3010157019
#> 233 12 13 1.892682 1.933662 1.914296 -0.2413977076 0.09947996 -0.4182138068
#> 234 12 13 1.933662 1.972404 1.953028 -0.3614987268 0.10518766 -0.5498359156
#> 235 12 13 1.972404 2.008396 1.991781 -0.4926624610 0.11104974 -0.6884519720
#> 236 12 13 2.008396 2.041395 2.025010 -0.6079287311 0.11594008 -0.7989848100
#> 237 12 13 2.041395 2.076143 2.057780 -0.7187583057 0.12040065 -0.9207463388
#> 238 12 13 2.076143 2.117286 2.094506 -0.8339564497 0.12475053 -1.0509971412
#> 239 12 13 2.117286 2.163326 2.140066 -0.9565496067 0.12901746 -1.1752312370
#> 240 12 13 2.163326 2.205605 2.186586 -1.0536475708 0.13215426 -1.2863218666
#> 241 12 13 2.205605 2.246900 2.224624 -1.1116202919 0.13401835 -1.3528378107
#> 242 12 13 2.246900 2.293677 2.269176 -1.1578213766 0.13568468 -1.4071846799
#> 243 12 13 2.293677 2.343877 2.318177 -1.1874559310 0.13712097 -1.4505728379
#> 244 12 13 2.343877 2.403865 2.369576 -1.2024640693 0.13829738 -1.4685023513
#> 245 12 13 2.403865 2.496138 2.438154 -1.2085223742 0.13929911 -1.4798185846
#> 246 12 13 2.496138 2.627070 2.554122 -1.2052882474 0.13910266 -1.4864948201
#> 247 12 13 2.627070 3.622562 2.700018 -1.1951587353 0.13680070 -1.4876218633
#> 248 13 14 1.062245 1.699981 1.648694 0.0638348957 0.05836045 -0.0238995268
#> 249 13 14 1.699981 1.775368 1.751268 0.0439330895 0.07853042 -0.0933341688
#> 250 13 14 1.775368 1.835269 1.799468 -0.0015454365 0.08549329 -0.1481537931
#> 251 13 14 1.835269 1.892682 1.871069 -0.1291776633 0.09454742 -0.3021116050
#> 252 13 14 1.892682 1.933662 1.914296 -0.2414580234 0.10020954 -0.4213057652
#> 253 13 14 1.933662 1.972404 1.953028 -0.3601863580 0.10573665 -0.5498359156
#> 254 13 14 1.972404 2.008396 1.991781 -0.4896816581 0.11167713 -0.6864967536
#> 255 13 14 2.008396 2.041395 2.025010 -0.6033506071 0.11693009 -0.7948818167
#> 256 13 14 2.041395 2.076143 2.057780 -0.7125288816 0.12202056 -0.9043349641
#> 257 13 14 2.076143 2.117286 2.094506 -0.8258796738 0.12731407 -1.0284078109
#> 258 13 14 2.117286 2.163326 2.140066 -0.9463284153 0.13285421 -1.1551245001
#> 259 13 14 2.163326 2.205605 2.186586 -1.0415449223 0.13705926 -1.2587915524
#> 260 13 14 2.205605 2.246900 2.224624 -1.0982707892 0.13942434 -1.3201309980
#> 261 13 14 2.246900 2.293677 2.269176 -1.1433570339 0.14117258 -1.3640561234
#> 262 13 14 2.293677 2.343877 2.318177 -1.1721537001 0.14215221 -1.3864816612
#> 263 13 14 2.343877 2.403865 2.369576 -1.1866265239 0.14245878 -1.3943474647
#> 264 13 14 2.403865 2.496138 2.438154 -1.1923284967 0.14208104 -1.4123713933
#> 265 13 14 2.496138 2.627070 2.554122 -1.1889131794 0.13970183 -1.4148622320
#> 266 13 14 2.627070 3.622562 2.700018 -1.1787395606 0.13519661 -1.4119559692
#> 267 14 15 1.062245 1.699981 1.648694 0.0637786433 0.05817539 -0.0227021184
#> 268 14 15 1.699981 1.775368 1.751268 0.0432213032 0.07836317 -0.0908498305
#> 269 14 15 1.775368 1.835269 1.799468 -0.0025797361 0.08537969 -0.1481456688
#> 270 14 15 1.835269 1.892682 1.871069 -0.1302691058 0.09462255 -0.3018865632
#> 271 14 15 1.892682 1.933662 1.914296 -0.2420958657 0.10054839 -0.4209787474
#> 272 14 15 1.933662 1.972404 1.953028 -0.3599863461 0.10650482 -0.5464506097
#> 273 14 15 1.972404 2.008396 1.991781 -0.4882031319 0.11314077 -0.6800551086
#> 274 14 15 2.008396 2.041395 2.025010 -0.6004486980 0.11924126 -0.7947682944
#> 275 14 15 2.041395 2.076143 2.057780 -0.7079860252 0.12539241 -0.9043349641
#> 276 14 15 2.076143 2.117286 2.094506 -0.8193202449 0.13208764 -1.0284078109
#> 277 14 15 2.117286 2.163326 2.140066 -0.9372057395 0.13952020 -1.1551072747
#> 278 14 15 2.163326 2.205605 2.186586 -1.0299805755 0.14557936 -1.2611808414
#> 279 14 15 2.205605 2.246900 2.224624 -1.0849858656 0.14922433 -1.3231176698
#> 280 14 15 2.246900 2.293677 2.269176 -1.1284596284 0.15207731 -1.3685551997
#> 281 14 15 2.293677 2.343877 2.318177 -1.1559952480 0.15375894 -1.3988752802
#> 282 14 15 2.343877 2.403865 2.369576 -1.1696422840 0.15433823 -1.4133639779
#> 283 14 15 2.403865 2.496138 2.438154 -1.1747988663 0.15391276 -1.4180121415
#> 284 14 15 2.496138 2.627070 2.554122 -1.1711563847 0.15123461 -1.4174430171
#> 285 14 15 2.627070 3.622562 2.700018 -1.1610033526 0.14646004 -1.3986299942
#> 286 15 16 1.062245 1.699981 1.648694 0.0819875713 0.05898407 -0.0014636057
#> 287 15 16 1.699981 1.775368 1.751268 0.1216150934 0.07926044 -0.0023588405
#> 288 15 16 1.775368 1.835269 1.799468 0.1342641712 0.08554481 -0.0019607214
#> 289 15 16 1.835269 1.892682 1.871069 0.1419544311 0.09166504 -0.0181714092
#> 290 15 16 1.892682 1.933662 1.914296 0.1401181710 0.09409160 -0.0255038366
#> 291 15 16 1.933662 1.972404 1.953028 0.1351308380 0.09582893 -0.0382776540
#> 292 15 16 1.972404 2.008396 1.991781 0.1280360568 0.09745347 -0.0510829994
#> 293 15 16 2.008396 2.041395 2.025010 0.1211855372 0.09897079 -0.0783782614
#> 294 15 16 2.041395 2.076143 2.057780 0.1145189068 0.10071521 -0.0925975859
#> 295 15 16 2.076143 2.117286 2.094506 0.1079481328 0.10301110 -0.1014066452
#> 296 15 16 2.117286 2.163326 2.140066 0.1020727650 0.10622594 -0.1204231029
#> 297 15 16 2.163326 2.205605 2.186586 0.0992546967 0.10956441 -0.1356801829
#> 298 15 16 2.205605 2.246900 2.224624 0.0992695835 0.11204574 -0.1427530869
#> 299 15 16 2.246900 2.293677 2.269176 0.1013811097 0.11445204 -0.1434465968
#> 300 15 16 2.293677 2.343877 2.318177 0.1052981385 0.11640858 -0.1394609016
#> 301 15 16 2.343877 2.403865 2.369576 0.1100150510 0.11780945 -0.1439017179
#> 302 15 16 2.403865 2.496138 2.438154 0.1159615124 0.11902057 -0.1449263334
#> 303 15 16 2.496138 2.627070 2.554122 0.1248278098 0.11997378 -0.1415823639
#> 304 15 16 2.627070 3.622562 2.700018 0.1364573336 0.12010310 -0.1256389948
#> 305 16 17 1.062245 1.699981 1.648694 0.0784745832 0.05732921 -0.0030370484
#> 306 16 17 1.699981 1.775368 1.751268 0.1164756275 0.07788023 -0.0047100908
#> 307 16 17 1.775368 1.835269 1.799468 0.1285574036 0.08458621 -0.0054664302
#> 308 16 17 1.835269 1.892682 1.871069 0.1357356902 0.09147817 -0.0193974617
#> 309 16 17 1.892682 1.933662 1.914296 0.1337752191 0.09433531 -0.0370977188
#> 310 16 17 1.933662 1.972404 1.953028 0.1287731559 0.09637589 -0.0527810325
#> 311 16 17 1.972404 2.008396 1.991781 0.1217317384 0.09819902 -0.0653591966
#> 312 16 17 2.008396 2.041395 2.025010 0.1149633385 0.09979677 -0.0819261466
#> 313 16 17 2.041395 2.076143 2.057780 0.1083964231 0.10154524 -0.1119203045
#> 314 16 17 2.076143 2.117286 2.094506 0.1019459788 0.10377506 -0.1301372995
#> 315 16 17 2.117286 2.163326 2.140066 0.0962165569 0.10684347 -0.1399713213
#> 316 16 17 2.163326 2.205605 2.186586 0.0935323393 0.11000346 -0.1455701803
#> 317 16 17 2.205605 2.246900 2.224624 0.0936425872 0.11233745 -0.1458743614
#> 318 16 17 2.246900 2.293677 2.269176 0.0958512965 0.11457673 -0.1434465968
#> 319 16 17 2.293677 2.343877 2.318177 0.0998616644 0.11635627 -0.1394609016
#> 320 16 17 2.343877 2.403865 2.369576 0.1046664216 0.11758268 -0.1439017179
#> 321 16 17 2.403865 2.496138 2.438154 0.1107183379 0.11860849 -0.1449263334
#> 322 16 17 2.496138 2.627070 2.554122 0.1197215795 0.11949259 -0.1404009374
#> 323 16 17 2.627070 3.622562 2.700018 0.1314059332 0.11985571 -0.1256389948
#> 324 17 18 1.062245 1.699981 1.648694 0.0798503654 0.05745105 -0.0001585957
#> 325 17 18 1.699981 1.775368 1.751268 0.1191599111 0.07773684 0.0040999502
#> 326 17 18 1.775368 1.835269 1.799468 0.1321509117 0.08396306 0.0044005137
#> 327 17 18 1.835269 1.892682 1.871069 0.1411147290 0.08953079 -0.0019647128
#> 328 17 18 1.892682 1.933662 1.914296 0.1404742918 0.09122630 -0.0052325178
#> 329 17 18 1.933662 1.972404 1.953028 0.1367696409 0.09202117 -0.0147058761
#> 330 17 18 1.972404 2.008396 1.991781 0.1310809610 0.09245129 -0.0247586740
#> 331 17 18 2.008396 2.041395 2.025010 0.1254676916 0.09280082 -0.0437680041
#> 332 17 18 2.041395 2.076143 2.057780 0.1199925089 0.09335177 -0.0521810985
#> 333 17 18 2.076143 2.117286 2.094506 0.1146645804 0.09439305 -0.0592116615
#> 334 17 18 2.117286 2.163326 2.140066 0.1101232546 0.09637507 -0.0846163119
#> 335 17 18 2.163326 2.205605 2.186586 0.1083805718 0.09895710 -0.1038254573
#> 336 17 18 2.205605 2.246900 2.224624 0.1090549966 0.10116757 -0.1130312134
#> 337 17 18 2.246900 2.293677 2.269176 0.1117135678 0.10350776 -0.1140802847
#> 338 17 18 2.293677 2.343877 2.318177 0.1160073143 0.10548790 -0.1103590822
#> 339 17 18 2.343877 2.403865 2.369576 0.1209427663 0.10684240 -0.1143044258
#> 340 17 18 2.403865 2.496138 2.438154 0.1270211753 0.10782597 -0.1304843697
#> 341 17 18 2.496138 2.627070 2.554122 0.1359590565 0.10839029 -0.1272649081
#> 342 17 18 2.627070 3.622562 2.700018 0.1476131431 0.10816621 -0.0975530808
#> 343 18 19 1.062245 1.699981 1.648694 0.0809868873 0.05768561 -0.0001396732
#> 344 18 19 1.699981 1.775368 1.751268 0.1225524252 0.07873003 0.0040845380
#> 345 18 19 1.775368 1.835269 1.799468 0.1374858184 0.08555655 0.0054178648
#> 346 18 19 1.835269 1.892682 1.871069 0.1507469857 0.09210000 0.0026865099
#> 347 18 19 1.892682 1.933662 1.914296 0.1535566421 0.09423675 0.0005948238
#> 348 18 19 1.933662 1.972404 1.953028 0.1534170806 0.09520620 -0.0034063514
#> 349 18 19 1.972404 2.008396 1.991781 0.1516129232 0.09553828 -0.0094413053
#> 350 18 19 2.008396 2.041395 2.025010 0.1494525444 0.09557102 -0.0098603117
#> 351 18 19 2.041395 2.076143 2.057780 0.1473658314 0.09561318 -0.0128513364
#> 352 18 19 2.076143 2.117286 2.094506 0.1456709123 0.09589600 -0.0174083529
#> 353 18 19 2.117286 2.163326 2.140066 0.1451919567 0.09676337 -0.0154010051
#> 354 18 19 2.163326 2.205605 2.186586 0.1469135384 0.09815539 -0.0239560295
#> 355 18 19 2.205605 2.246900 2.224624 0.1498502038 0.09945814 -0.0251799939
#> 356 18 19 2.246900 2.293677 2.269176 0.1545244444 0.10090295 -0.0236092402
#> 357 18 19 2.293677 2.343877 2.318177 0.1603444103 0.10217892 -0.0195294553
#> 358 18 19 2.343877 2.403865 2.369576 0.1662720890 0.10313658 -0.0172712362
#> 359 18 19 2.403865 2.496138 2.438154 0.1730190184 0.10408115 -0.0126049940
#> 360 18 19 2.496138 2.627070 2.554122 0.1822326951 0.10546020 -0.0117615143
#> 361 18 19 2.627070 3.622562 2.700018 0.1937940406 0.10691293 -0.0154523438
#> 362 19 20 1.062245 1.699981 1.648694 0.0805840883 0.05735333 -0.0001033604
#> 363 19 20 1.699981 1.775368 1.751268 0.1222184793 0.07800268 0.0042269558
#> 364 19 20 1.775368 1.835269 1.799468 0.1374973711 0.08457553 0.0058419742
#> 365 19 20 1.835269 1.892682 1.871069 0.1518788895 0.09060838 0.0071644179
#> 366 19 20 1.892682 1.933662 1.914296 0.1557520403 0.09233194 0.0029137335
#> 367 19 20 1.933662 1.972404 1.953028 0.1567815596 0.09285033 0.0038534586
#> 368 19 20 1.972404 2.008396 1.991781 0.1562895364 0.09263710 -0.0026771551
#> 369 19 20 2.008396 2.041395 2.025010 0.1553064329 0.09210385 -0.0068150863
#> 370 19 20 2.041395 2.076143 2.057780 0.1543705730 0.09147421 -0.0054177066
#> 371 19 20 2.076143 2.117286 2.094506 0.1538915158 0.09085298 0.0003493408
#> 372 19 20 2.117286 2.163326 2.140066 0.1547324055 0.09040695 0.0075983453
#> 373 19 20 2.163326 2.205605 2.186586 0.1575273299 0.09038100 0.0051904804
#> 374 19 20 2.205605 2.246900 2.224624 0.1611260272 0.09062917 0.0007925016
#> 375 19 20 2.246900 2.293677 2.269176 0.1663518854 0.09113543 -0.0022874063
#> 376 19 20 2.293677 2.343877 2.318177 0.1725542426 0.09187309 0.0145035784
#> 377 19 20 2.343877 2.403865 2.369576 0.1787069102 0.09280755 0.0181557083
#> 378 19 20 2.403865 2.496138 2.438154 0.1855956678 0.09427798 0.0282864972
#> 379 19 20 2.496138 2.627070 2.554122 0.1949039694 0.09662036 0.0332048527
#> 380 19 20 2.627070 3.622562 2.700018 0.2065381870 0.09816727 0.0343325748
#> 381 20 21 1.062245 1.699981 1.648694 0.0784968620 0.05764389 -0.0001907811
#> 382 20 21 1.699981 1.775368 1.751268 0.1195286521 0.07834647 0.0040845380
#> 383 20 21 1.775368 1.835269 1.799468 0.1347941646 0.08481835 0.0056071526
#> 384 20 21 1.835269 1.892682 1.871069 0.1495385725 0.09046953 0.0071281152
#> 385 20 21 1.892682 1.933662 1.914296 0.1538328832 0.09181429 0.0082861178
#> 386 20 21 1.933662 1.972404 1.953028 0.1553426244 0.09189756 0.0046016059
#> 387 20 21 1.972404 2.008396 1.991781 0.1554043943 0.09116603 0.0095735456
#> 388 20 21 2.008396 2.041395 2.025010 0.1549371888 0.09013886 0.0120396847
#> 389 20 21 2.041395 2.076143 2.057780 0.1545333027 0.08900454 0.0109103561
#> 390 20 21 2.076143 2.117286 2.094506 0.1546630038 0.08784223 0.0105945018
#> 391 20 21 2.117286 2.163326 2.140066 0.1562545256 0.08684359 0.0128725239
#> 392 20 21 2.163326 2.205605 2.186586 0.1597825059 0.08647116 0.0158719591
#> 393 20 21 2.205605 2.246900 2.224624 0.1639354960 0.08662185 0.0192061883
#> 394 20 21 2.246900 2.293677 2.269176 0.1697398828 0.08719674 0.0244372147
#> 395 20 21 2.293677 2.343877 2.318177 0.1764746889 0.08814602 0.0276267728
#> 396 20 21 2.343877 2.403865 2.369576 0.1830640732 0.08931830 0.0286481910
#> 397 20 21 2.403865 2.496138 2.438154 0.1903643152 0.09092918 0.0307672715
#> 398 20 21 2.496138 2.627070 2.554122 0.2000962164 0.09286300 0.0482280452
#> 399 20 21 2.627070 3.622562 2.700018 0.2121366967 0.09341250 0.0657989092
#> 400 21 22 1.062245 1.699981 1.648694 0.0779000113 0.05812160 -0.0001907811
#> 401 21 22 1.699981 1.775368 1.751268 0.1184763704 0.07908854 0.0036361941
#> 402 21 22 1.775368 1.835269 1.799468 0.1335202126 0.08565669 0.0053268382
#> 403 21 22 1.835269 1.892682 1.871069 0.1479793500 0.09135685 0.0026560139
#> 404 21 22 1.892682 1.933662 1.914296 0.1521494278 0.09265399 0.0008705732
#> 405 21 22 1.933662 1.972404 1.953028 0.1535895819 0.09264189 0.0044339391
#> 406 21 22 1.972404 2.008396 1.991781 0.1536263626 0.09177562 0.0011905456
#> 407 21 22 2.008396 2.041395 2.025010 0.1531747833 0.09061842 0.0012629450
#> 408 21 22 2.041395 2.076143 2.057780 0.1528191454 0.08936271 0.0036069707
#> 409 21 22 2.076143 2.117286 2.094506 0.1530387556 0.08809570 0.0089565654
#> 410 21 22 2.117286 2.163326 2.140066 0.1547864473 0.08703622 0.0103570246
#> 411 21 22 2.163326 2.205605 2.186586 0.1585113305 0.08667408 0.0112492285
#> 412 21 22 2.205605 2.246900 2.224624 0.1628416525 0.08685841 0.0129354437
#> 413 21 22 2.246900 2.293677 2.269176 0.1688587234 0.08746181 0.0158384189
#> 414 21 22 2.293677 2.343877 2.318177 0.1758176924 0.08839997 0.0197881299
#> 415 21 22 2.343877 2.403865 2.369576 0.1826153704 0.08951604 0.0265216664
#> 416 21 22 2.403865 2.496138 2.438154 0.1901331595 0.09103853 0.0307672715
#> 417 21 22 2.496138 2.627070 2.554122 0.2000717379 0.09299752 0.0541444929
#> 418 21 22 2.627070 3.622562 2.700018 0.2121887392 0.09404145 0.0657989092
#> 419 22 23 1.062245 1.699981 1.648694 0.0778886420 0.05820984 -0.0001907811
#> 420 22 23 1.699981 1.775368 1.751268 0.1184091141 0.07927766 0.0036309143
#> 421 22 23 1.775368 1.835269 1.799468 0.1334074918 0.08592159 0.0053264057
#> 422 22 23 1.835269 1.892682 1.871069 0.1477791339 0.09176390 0.0026560139
#> 423 22 23 1.892682 1.933662 1.914296 0.1518883296 0.09314788 0.0008705732
#> 424 22 23 1.933662 1.972404 1.953028 0.1532710045 0.09320250 0.0044339391
#> 425 22 23 1.972404 2.008396 1.991781 0.1532486688 0.09239029 0.0011905456
#> 426 22 23 2.008396 2.041395 2.025010 0.1527454728 0.09127584 0.0012629450
#> 427 22 23 2.041395 2.076143 2.057780 0.1523379682 0.09007151 0.0036069707
#> 428 22 23 2.076143 2.117286 2.094506 0.1524977149 0.08889181 0.0089565654
#> 429 22 23 2.117286 2.163326 2.140066 0.1541670424 0.08801015 0.0103570246
#> 430 22 23 2.163326 2.205605 2.186586 0.1578048789 0.08791582 0.0112492285
#> 431 22 23 2.205605 2.246900 2.224624 0.1620571507 0.08836216 0.0129354437
#> 432 22 23 2.246900 2.293677 2.269176 0.1679740220 0.08927312 0.0158384189
#> 433 22 23 2.293677 2.343877 2.318177 0.1748127077 0.09048334 0.0197404705
#> 434 22 23 2.343877 2.403865 2.369576 0.1814770690 0.09175151 0.0240200711
#> 435 22 23 2.403865 2.496138 2.438154 0.1888189564 0.09324135 0.0306322558
#> 436 22 23 2.496138 2.627070 2.554122 0.1985166134 0.09476303 0.0481271431
#> 437 22 23 2.627070 3.622562 2.700018 0.2104778077 0.09519459 0.0592306783
#> 438 23 24 1.062245 1.699981 1.648694 0.0775610312 0.05826234 -0.0001907811
#> 439 23 24 1.699981 1.775368 1.751268 0.1170729398 0.07967834 -0.0028698702
#> 440 23 24 1.775368 1.835269 1.799468 0.1311039388 0.08681194 -0.0054877330
#> 441 23 24 1.835269 1.892682 1.871069 0.1432153798 0.09408494 -0.0108302339
#> 442 23 24 1.892682 1.933662 1.914296 0.1454526517 0.09678091 -0.0173120301
#> 443 23 24 1.933662 1.972404 1.953028 0.1448738921 0.09821156 -0.0293434006
#> 444 23 24 1.972404 2.008396 1.991781 0.1426967561 0.09880860 -0.0393631589
#> 445 23 24 2.008396 2.041395 2.025010 0.1402702893 0.09877720 -0.0417111469
#> 446 23 24 2.041395 2.076143 2.057780 0.1379732527 0.09840045 -0.0445855806
#> 447 23 24 2.076143 2.117286 2.094506 0.1361096135 0.09776518 -0.0482543562
#> 448 23 24 2.117286 2.163326 2.140066 0.1355260798 0.09697739 -0.0443920409
#> 449 23 24 2.163326 2.205605 2.186586 0.1372571922 0.09649399 -0.0403551294
#> 450 23 24 2.205605 2.246900 2.224624 0.1402745051 0.09648056 -0.0375097391
#> 451 23 24 2.246900 2.293677 2.269176 0.1450980125 0.09691950 -0.0286150024
#> 452 23 24 2.293677 2.343877 2.318177 0.1511083941 0.09784375 -0.0203093203
#> 453 23 24 2.343877 2.403865 2.369576 0.1572215585 0.09908313 -0.0220019477
#> 454 23 24 2.403865 2.496138 2.438154 0.1641541452 0.10078910 -0.0235085163
#> 455 23 24 2.496138 2.627070 2.554122 0.1735695144 0.10271141 -0.0206258011
#> 456 23 24 2.627070 3.622562 2.700018 0.1854268253 0.10301724 -0.0208682587
#> 457 24 25 1.062245 1.699981 1.648694 0.0649279195 0.05953958 -0.0198619549
#> 458 24 25 1.699981 1.775368 1.751268 0.0957174626 0.08270012 -0.0364445533
#> 459 24 25 1.775368 1.835269 1.799468 0.1055472967 0.09093048 -0.0373499959
#> 460 24 25 1.835269 1.892682 1.871069 0.1119311604 0.09982670 -0.0616521479
#> 461 24 25 1.892682 1.933662 1.914296 0.1111928210 0.10328993 -0.0693064324
#> 462 24 25 1.933662 1.972404 1.953028 0.1083150163 0.10518891 -0.0795870801
#> 463 24 25 1.972404 2.008396 1.991781 0.1041942829 0.10605119 -0.0805369536
#> 464 24 25 2.008396 2.041395 2.025010 0.1003765169 0.10612667 -0.0816074806
#> 465 24 25 2.041395 2.076143 2.057780 0.0969397705 0.10580059 -0.0881689387
#> 466 24 25 2.076143 2.117286 2.094506 0.0940469203 0.10522419 -0.0937518274
#> 467 24 25 2.117286 2.163326 2.140066 0.0925014716 0.10460167 -0.0935605733
#> 468 24 25 2.163326 2.205605 2.186586 0.0935431936 0.10445509 -0.0988923634
#> 469 24 25 2.205605 2.246900 2.224624 0.0961667559 0.10484469 -0.1050393959
#> 470 24 25 2.246900 2.293677 2.269176 0.1006715671 0.10585262 -0.0979554549
#> 471 24 25 2.293677 2.343877 2.318177 0.1064529229 0.10741334 -0.0906867832
#> 472 24 25 2.343877 2.403865 2.369576 0.1124084222 0.10917253 -0.0854095007
#> 473 24 25 2.403865 2.496138 2.438154 0.1191949798 0.11109481 -0.0819800233
#> 474 24 25 2.496138 2.627070 2.554122 0.1284139833 0.11194681 -0.0783994794
#> 475 24 25 2.627070 3.622562 2.700018 0.1400524253 0.10951877 -0.0436970749
#> 476 25 26 1.062245 1.699981 1.648694 0.0541570289 0.05911929 -0.0312923090
#> 477 25 26 1.699981 1.775368 1.751268 0.0759992324 0.08300986 -0.0619387940
#> 478 25 26 1.775368 1.835269 1.799468 0.0811175593 0.09149798 -0.0779904826
#> 479 25 26 1.835269 1.892682 1.871069 0.0806150193 0.10027834 -0.0928081305
#> 480 25 26 1.892682 1.933662 1.914296 0.0760663263 0.10343601 -0.0966591522
#> 481 25 26 1.933662 1.972404 1.953028 0.0701267880 0.10507335 -0.1062727100
#> 482 25 26 1.972404 2.008396 1.991781 0.0633375304 0.10582982 -0.1178529770
#> 483 25 26 2.008396 2.041395 2.025010 0.0575697050 0.10599927 -0.1215380298
#> 484 25 26 2.041395 2.076143 2.057780 0.0525202107 0.10591973 -0.1289791716
#> 485 25 26 2.076143 2.117286 2.094506 0.0481759163 0.10570916 -0.1333906036
#> 486 25 26 2.117286 2.163326 2.140066 0.0453147892 0.10544341 -0.1336808959
#> 487 25 26 2.163326 2.205605 2.186586 0.0454971201 0.10528101 -0.1296456857
#> 488 25 26 2.205605 2.246900 2.224624 0.0477183257 0.10527696 -0.1223255520
#> 489 25 26 2.246900 2.293677 2.269176 0.0520197925 0.10544952 -0.1120198544
#> 490 25 26 2.293677 2.343877 2.318177 0.0578186476 0.10586228 -0.1111682443
#> 491 25 26 2.343877 2.403865 2.369576 0.0639612140 0.10650766 -0.1057913149
#> 492 25 26 2.403865 2.496138 2.438154 0.0711122818 0.10757940 -0.1075908790
#> 493 25 26 2.496138 2.627070 2.554122 0.0808912942 0.10908797 -0.0972291584
#> 494 25 26 2.627070 3.622562 2.700018 0.0928561879 0.10911767 -0.0902566229
#> 495 26 27 1.062245 1.699981 1.648694 0.0467391863 0.05674504 -0.0490576135
#> 496 26 27 1.699981 1.775368 1.751268 0.0614985367 0.07806948 -0.0702533233
#> 497 26 27 1.775368 1.835269 1.799468 0.0625903476 0.08491581 -0.0846608181
#> 498 26 27 1.835269 1.892682 1.871069 0.0558867725 0.09103576 -0.1050018626
#> 499 26 27 1.892682 1.933662 1.914296 0.0477817981 0.09275267 -0.1166027629
#> 500 26 27 1.933662 1.972404 1.953028 0.0389463977 0.09341573 -0.1403926848
#> 501 26 27 1.972404 2.008396 1.991781 0.0296247865 0.09360692 -0.1538936479
#> 502 26 27 2.008396 2.041395 2.025010 0.0220127432 0.09362291 -0.1644813381
#> 503 26 27 2.041395 2.076143 2.057780 0.0154475554 0.09361778 -0.1736527174
#> 504 26 27 2.076143 2.117286 2.094506 0.0097463914 0.09359582 -0.1813550069
#> 505 26 27 2.117286 2.163326 2.140066 0.0056482269 0.09340615 -0.1855021320
#> 506 26 27 2.163326 2.205605 2.186586 0.0049830018 0.09282473 -0.1824521480
#> 507 26 27 2.205605 2.246900 2.224624 0.0067476756 0.09201500 -0.1747676648
#> 508 26 27 2.246900 2.293677 2.269176 0.0107070842 0.09081282 -0.1628512262
#> 509 26 27 2.293677 2.343877 2.318177 0.0162901249 0.08948160 -0.1558234626
#> 510 26 27 2.343877 2.403865 2.369576 0.0223149320 0.08845533 -0.1526796545
#> 511 26 27 2.403865 2.496138 2.438154 0.0293977831 0.08802012 -0.1471097893
#> 512 26 27 2.496138 2.627070 2.554122 0.0391426261 0.08864629 -0.1191928146
#> 513 26 27 2.627070 3.622562 2.700018 0.0510835986 0.08883958 -0.1135541729
#> 514 27 28 1.062245 1.699981 1.648694 0.0440249110 0.05677597 -0.0520198197
#> 515 27 28 1.699981 1.775368 1.751268 0.0573904408 0.07804777 -0.0749516503
#> 516 27 28 1.775368 1.835269 1.799468 0.0579985772 0.08473247 -0.0849190269
#> 517 27 28 1.835269 1.892682 1.871069 0.0509492286 0.09018703 -0.1050018626
#> 518 27 28 1.892682 1.933662 1.914296 0.0428875358 0.09111782 -0.1164533433
#> 519 27 28 1.933662 1.972404 1.953028 0.0342499655 0.09077276 -0.1217205153
#> 520 27 28 1.972404 2.008396 1.991781 0.0252553912 0.08968347 -0.1224635757
#> 521 27 28 2.008396 2.041395 2.025010 0.0179991722 0.08845653 -0.1356595159
#> 522 27 28 2.041395 2.076143 2.057780 0.0118212329 0.08721078 -0.1461533625
#> 523 27 28 2.076143 2.117286 2.094506 0.0065534936 0.08595972 -0.1541774031
#> 524 27 28 2.117286 2.163326 2.140066 0.0029171788 0.08477250 -0.1584886277
#> 525 27 28 2.163326 2.205605 2.186586 0.0025505828 0.08400151 -0.1572985806
#> 526 27 28 2.205605 2.246900 2.224624 0.0043830832 0.08364582 -0.1533491003
#> 527 27 28 2.246900 2.293677 2.269176 0.0082006180 0.08344946 -0.1469046765
#> 528 27 28 2.293677 2.343877 2.318177 0.0133746794 0.08342277 -0.1394413691
#> 529 27 28 2.343877 2.403865 2.369576 0.0187648674 0.08361415 -0.1250870538
#> 530 27 28 2.403865 2.496138 2.438154 0.0248759296 0.08434990 -0.1112861783
#> 531 27 28 2.496138 2.627070 2.554122 0.0332771600 0.08614708 -0.1126498032
#> 532 27 28 2.627070 3.622562 2.700018 0.0445127524 0.08707205 -0.1124830241
#> 533 28 29 1.062245 1.699981 1.648694 0.0422150266 0.05626721 -0.0589234666
#> 534 28 29 1.699981 1.775368 1.751268 0.0541619962 0.07621088 -0.0759355039
#> 535 28 29 1.775368 1.835269 1.799468 0.0540869807 0.08205330 -0.0857024018
#> 536 28 29 1.835269 1.892682 1.871069 0.0461472171 0.08625105 -0.1067490412
#> 537 28 29 1.892682 1.933662 1.914296 0.0376569184 0.08652015 -0.1167135788
#> 538 28 29 1.933662 1.972404 1.953028 0.0287091106 0.08566650 -0.1217205153
#> 539 28 29 1.972404 2.008396 1.991781 0.0194654514 0.08413316 -0.1224635757
#> 540 28 29 2.008396 2.041395 2.025010 0.0120342829 0.08255460 -0.1244995512
#> 541 28 29 2.041395 2.076143 2.057780 0.0057092140 0.08096882 -0.1325732215
#> 542 28 29 2.076143 2.117286 2.094506 0.0002969520 0.07933234 -0.1381229872
#> 543 28 29 2.117286 2.163326 2.140066 -0.0034993715 0.07767237 -0.1365189434
#> 544 28 29 2.163326 2.205605 2.186586 -0.0040128020 0.07648456 -0.1331515072
#> 545 28 29 2.205605 2.246900 2.224624 -0.0022869787 0.07589944 -0.1311486888
#> 546 28 29 2.246900 2.293677 2.269176 0.0014249859 0.07561643 -0.1289438733
#> 547 28 29 2.293677 2.343877 2.318177 0.0065116707 0.07573554 -0.1226415327
#> 548 28 29 2.343877 2.403865 2.369576 0.0118437206 0.07629602 -0.1175165280
#> 549 28 29 2.403865 2.496138 2.438154 0.0179212634 0.07767041 -0.1089542225
#> 550 28 29 2.496138 2.627070 2.554122 0.0263181182 0.08024457 -0.1094580933
#> 551 28 29 2.627070 3.622562 2.700018 0.0375320091 0.08130868 -0.1086588845
#> 552 29 30 1.062245 1.699981 1.648694 0.0401786038 0.05694540 -0.0654093412
#> 553 29 30 1.699981 1.775368 1.751268 0.0511937965 0.07713317 -0.0916042599
#> 554 29 30 1.775368 1.835269 1.799468 0.0508279747 0.08300103 -0.1066898647
#> 555 29 30 1.835269 1.892682 1.871069 0.0427000527 0.08709322 -0.1182208116
#> 556 29 30 1.892682 1.933662 1.914296 0.0342291418 0.08725667 -0.1213346160
#> 557 29 30 1.933662 1.972404 1.953028 0.0253645980 0.08633909 -0.1308251720
#> 558 29 30 1.972404 2.008396 1.991781 0.0162470084 0.08482427 -0.1415403698
#> 559 29 30 2.008396 2.041395 2.025010 0.0089434328 0.08335883 -0.1560798158
#> 560 29 30 2.041395 2.076143 2.057780 0.0027506008 0.08198369 -0.1592515191
#> 561 29 30 2.076143 2.117286 2.094506 -0.0025164556 0.08068848 -0.1631621188
#> 562 29 30 2.117286 2.163326 2.140066 -0.0061496651 0.07954562 -0.1649241124
#> 563 29 30 2.163326 2.205605 2.186586 -0.0065258863 0.07887689 -0.1631892796
#> 564 29 30 2.205605 2.246900 2.224624 -0.0047133600 0.07861519 -0.1620973585
#> 565 29 30 2.246900 2.293677 2.269176 -0.0009293150 0.07851322 -0.1604842525
#> 566 29 30 2.293677 2.343877 2.318177 0.0042027933 0.07854589 -0.1438785279
#> 567 29 30 2.343877 2.403865 2.369576 0.0095507032 0.07874001 -0.1416379482
#> 568 29 30 2.403865 2.496138 2.438154 0.0156137806 0.07941826 -0.1341011498
#> 569 29 30 2.496138 2.627070 2.554122 0.0239479280 0.08114203 -0.1360635522
#> 570 29 30 2.627070 3.622562 2.700018 0.0350987373 0.08228294 -0.1347975574
#> 571 30 31 1.062245 1.699981 1.648694 0.0393202554 0.05673790 -0.0654093412
#> 572 30 31 1.699981 1.775368 1.751268 0.0495204321 0.07666141 -0.0916042599
#> 573 30 31 1.775368 1.835269 1.799468 0.0487271597 0.08234253 -0.1066898647
#> 574 30 31 1.835269 1.892682 1.871069 0.0400048104 0.08609151 -0.1182208116
#> 575 30 31 1.892682 1.933662 1.914296 0.0312359476 0.08603550 -0.1213346160
#> 576 30 31 1.933662 1.972404 1.953028 0.0221597593 0.08494210 -0.1308251720
#> 577 30 31 1.972404 2.008396 1.991781 0.0128888411 0.08330038 -0.1415403698
#> 578 30 31 2.008396 2.041395 2.025010 0.0055009099 0.08178745 -0.1560798158
#> 579 30 31 2.041395 2.076143 2.057780 -0.0007349657 0.08043493 -0.1592515191
#> 580 30 31 2.076143 2.117286 2.094506 -0.0060086627 0.07924954 -0.1631621188
#> 581 30 31 2.117286 2.163326 2.140066 -0.0096022532 0.07833880 -0.1649241124
#> 582 30 31 2.163326 2.205605 2.186586 -0.0099030367 0.07794192 -0.1631892796
#> 583 30 31 2.205605 2.246900 2.224624 -0.0080174595 0.07786109 -0.1620973585
#> 584 30 31 2.246900 2.293677 2.269176 -0.0041491866 0.07786358 -0.1604842525
#> 585 30 31 2.293677 2.343877 2.318177 0.0010613189 0.07784964 -0.1495283263
#> 586 30 31 2.343877 2.403865 2.369576 0.0064677832 0.07784271 -0.1511753278
#> 587 30 31 2.403865 2.496138 2.438154 0.0125709374 0.07814839 -0.1457823486
#> 588 30 31 2.496138 2.627070 2.554122 0.0209034588 0.07941614 -0.1360635522
#> 589 30 31 2.627070 3.622562 2.700018 0.0319994389 0.08052201 -0.1347975574
#> 590 31 32 1.062245 1.699981 1.648694 0.0387347018 0.05627199 -0.0654093412
#> 591 31 32 1.699981 1.775368 1.751268 0.0483088032 0.07558354 -0.0916042599
#> 592 31 32 1.775368 1.835269 1.799468 0.0471652294 0.08092835 -0.1066898647
#> 593 31 32 1.835269 1.892682 1.871069 0.0379166471 0.08427087 -0.1182208116
#> 594 31 32 1.892682 1.933662 1.914296 0.0288515662 0.08407518 -0.1213346160
#> 595 31 32 1.933662 1.972404 1.953028 0.0195345568 0.08292367 -0.1305271548
#> 596 31 32 1.972404 2.008396 1.991781 0.0100501582 0.08126091 -0.1411604650
#> 597 31 32 2.008396 2.041395 2.025010 0.0025018337 0.07973229 -0.1560798158
#> 598 31 32 2.041395 2.076143 2.057780 -0.0038726784 0.07834608 -0.1592515191
#> 599 31 32 2.076143 2.117286 2.094506 -0.0092812858 0.07709123 -0.1631621188
#> 600 31 32 2.117286 2.163326 2.140066 -0.0130180770 0.07606179 -0.1642337667
#> 601 31 32 2.163326 2.205605 2.186586 -0.0134455789 0.07555677 -0.1631892796
#> 602 31 32 2.205605 2.246900 2.224624 -0.0116539902 0.07544061 -0.1620973585
#> 603 31 32 2.246900 2.293677 2.269176 -0.0078873767 0.07549373 -0.1614882149
#> 604 31 32 2.293677 2.343877 2.318177 -0.0027762494 0.07565354 -0.1534642556
#> 605 31 32 2.343877 2.403865 2.369576 0.0025478642 0.07592998 -0.1540004946
#> 606 31 32 2.403865 2.496138 2.438154 0.0085937940 0.07668816 -0.1568794867
#> 607 31 32 2.496138 2.627070 2.554122 0.0169840884 0.07873252 -0.1484538917
#> 608 31 32 2.627070 3.622562 2.700018 0.0282704429 0.08088935 -0.1383481573
#> 609 32 33 1.062245 1.699981 1.648694 0.0368923276 0.05627300 -0.0654093412
#> 610 32 33 1.699981 1.775368 1.751268 0.0456441396 0.07574078 -0.0946896771
#> 611 32 33 1.775368 1.835269 1.799468 0.0442395163 0.08120238 -0.1086846510
#> 612 32 33 1.835269 1.892682 1.871069 0.0348171491 0.08478363 -0.1311291564
#> 613 32 33 1.892682 1.933662 1.914296 0.0257726279 0.08479548 -0.1418260944
#> 614 32 33 1.933662 1.972404 1.953028 0.0165447996 0.08389167 -0.1495524155
#> 615 32 33 1.972404 2.008396 1.991781 0.0072046698 0.08254436 -0.1554841104
#> 616 32 33 2.008396 2.041395 2.025010 -0.0001860060 0.08133662 -0.1591926455
#> 617 32 33 2.041395 2.076143 2.057780 -0.0063828736 0.08030046 -0.1617081531
#> 618 32 33 2.076143 2.117286 2.094506 -0.0115753961 0.07945768 -0.1694032386
#> 619 32 33 2.117286 2.163326 2.140066 -0.0150325808 0.07893671 -0.1776478125
#> 620 32 33 2.163326 2.205605 2.186586 -0.0151763726 0.07891906 -0.1788876570
#> 621 32 33 2.205605 2.246900 2.224624 -0.0131643831 0.07916547 -0.1736418421
#> 622 32 33 2.246900 2.293677 2.269176 -0.0091638106 0.07959603 -0.1614882149
#> 623 32 33 2.293677 2.343877 2.318177 -0.0038385239 0.08011085 -0.1534642556
#> 624 32 33 2.343877 2.403865 2.369576 0.0016483162 0.08069809 -0.1540004946
#> 625 32 33 2.403865 2.496138 2.438154 0.0078003625 0.08180378 -0.1568794867
#> 626 32 33 2.496138 2.627070 2.554122 0.0161216005 0.08443381 -0.1484538917
#> 627 32 33 2.627070 3.622562 2.700018 0.0271626034 0.08732886 -0.1423922259
#> 628 33 34 1.062245 1.699981 1.648694 0.0374677974 0.05662595 -0.0654093412
#> 629 33 34 1.699981 1.775368 1.751268 0.0467549303 0.07627674 -0.0946896771
#> 630 33 34 1.775368 1.835269 1.799468 0.0456625332 0.08181844 -0.1086846510
#> 631 33 34 1.835269 1.892682 1.871069 0.0367470098 0.08552336 -0.1311291564
#> 632 33 34 1.892682 1.933662 1.914296 0.0280110555 0.08561541 -0.1418260944
#> 633 33 34 1.933662 1.972404 1.953028 0.0190423273 0.08478235 -0.1495524155
#> 634 33 34 1.972404 2.008396 1.991781 0.0099278495 0.08349861 -0.1554841104
#> 635 33 34 2.008396 2.041395 2.025010 0.0026912263 0.08233800 -0.1591926455
#> 636 33 34 2.041395 2.076143 2.057780 -0.0033987815 0.08134556 -0.1592515191
#> 637 33 34 2.076143 2.117286 2.094506 -0.0085321136 0.08055874 -0.1631621188
#> 638 33 34 2.117286 2.163326 2.140066 -0.0120085791 0.08013431 -0.1639725836
#> 639 33 34 2.163326 2.205605 2.186586 -0.0122699830 0.08024917 -0.1669936466
#> 640 33 34 2.205605 2.246900 2.224624 -0.0104131528 0.08060957 -0.1657059932
#> 641 33 34 2.246900 2.293677 2.269176 -0.0066397527 0.08113839 -0.1604842525
#> 642 33 34 2.293677 2.343877 2.318177 -0.0015933194 0.08166172 -0.1496715579
#> 643 33 34 2.343877 2.403865 2.369576 0.0035942948 0.08209906 -0.1540004946
#> 644 33 34 2.403865 2.496138 2.438154 0.0093606418 0.08274347 -0.1568794867
#> 645 33 34 2.496138 2.627070 2.554122 0.0170869216 0.08420043 -0.1484538917
#> 646 33 34 2.627070 3.622562 2.700018 0.0275642176 0.08565806 -0.1386949874
#> 647 34 35 1.062245 1.699981 1.648694 0.0353151952 0.05603024 -0.0654093412
#> 648 34 35 1.699981 1.775368 1.751268 0.0431572857 0.07580628 -0.0952142922
#> 649 34 35 1.775368 1.835269 1.799468 0.0413936574 0.08152159 -0.1092853703
#> 650 34 35 1.835269 1.892682 1.871069 0.0316067027 0.08539774 -0.1311291564
#> 651 34 35 1.892682 1.933662 1.914296 0.0224433042 0.08541039 -0.1418260944
#> 652 34 35 1.933662 1.972404 1.953028 0.0131555176 0.08434628 -0.1495524155
#> 653 34 35 1.972404 2.008396 1.991781 0.0037740541 0.08270236 -0.1554841104
#> 654 34 35 2.008396 2.041395 2.025010 -0.0036588441 0.08117870 -0.1591926455
#> 655 34 35 2.041395 2.076143 2.057780 -0.0099210389 0.07983347 -0.1592515191
#> 656 34 35 2.076143 2.117286 2.094506 -0.0152303471 0.07871096 -0.1631621188
#> 657 34 35 2.117286 2.163326 2.140066 -0.0189094799 0.07799216 -0.1692543442
#> 658 34 35 2.163326 2.205605 2.186586 -0.0193651874 0.07790112 -0.1786633929
#> 659 34 35 2.205605 2.246900 2.224624 -0.0176572643 0.07808502 -0.1737407229
#> 660 34 35 2.246900 2.293677 2.269176 -0.0140432437 0.07830636 -0.1619271279
#> 661 34 35 2.293677 2.343877 2.318177 -0.0091481373 0.07830756 -0.1595648723
#> 662 34 35 2.343877 2.403865 2.369576 -0.0040882902 0.07802250 -0.1579032016
#> 663 34 35 2.403865 2.496138 2.438154 0.0015556974 0.07767117 -0.1469979972
#> 664 34 35 2.496138 2.627070 2.554122 0.0091631587 0.07834861 -0.1392911805
#> 665 34 35 2.627070 3.622562 2.700018 0.0195464735 0.08095121 -0.1363114520
#> 666 35 36 1.062245 1.699981 1.648694 0.0361523461 0.05750938 -0.0654120348
#> 667 35 36 1.699981 1.775368 1.751268 0.0443429947 0.07793754 -0.0952142922
#> 668 35 36 1.775368 1.835269 1.799468 0.0426523327 0.08385120 -0.1092853703
#> 669 35 36 1.835269 1.892682 1.871069 0.0328071895 0.08790123 -0.1311291564
#> 670 35 36 1.892682 1.933662 1.914296 0.0235033941 0.08799246 -0.1418260944
#> 671 35 36 1.933662 1.972404 1.953028 0.0140258590 0.08701068 -0.1495524155
#> 672 35 36 1.972404 2.008396 1.991781 0.0044018520 0.08546867 -0.1554841104
#> 673 35 36 2.008396 2.041395 2.025010 -0.0032732286 0.08404005 -0.1591926455
#> 674 35 36 2.041395 2.076143 2.057780 -0.0097977046 0.08277815 -0.1592515191
#> 675 35 36 2.076143 2.117286 2.094506 -0.0154198933 0.08171210 -0.1631621188
#> 676 35 36 2.117286 2.163326 2.140066 -0.0195015767 0.08098152 -0.1692543442
#> 677 35 36 2.163326 2.205605 2.186586 -0.0203699151 0.08079183 -0.1786633929
#> 678 35 36 2.205605 2.246900 2.224624 -0.0189911940 0.08087112 -0.1737407229
#> 679 35 36 2.246900 2.293677 2.269176 -0.0157445634 0.08101176 -0.1619271279
#> 680 35 36 2.293677 2.343877 2.318177 -0.0112212460 0.08104883 -0.1595648723
#> 681 35 36 2.343877 2.403865 2.369576 -0.0065047249 0.08096408 -0.1579032016
#> 682 35 36 2.403865 2.496138 2.438154 -0.0012301722 0.08101220 -0.1469979972
#> 683 35 36 2.496138 2.627070 2.554122 0.0059941106 0.08201179 -0.1392911805
#> 684 35 36 2.627070 3.622562 2.700018 0.0162127465 0.08409417 -0.1363114520
#> 685 36 37 1.062245 1.699981 1.648694 0.0361171719 0.05705901 -0.0654120348
#> 686 36 37 1.699981 1.775368 1.751268 0.0443317969 0.07736367 -0.0941401106
#> 687 36 37 1.775368 1.835269 1.799468 0.0426819759 0.08336563 -0.1090867132
#> 688 36 37 1.835269 1.892682 1.871069 0.0329434872 0.08780194 -0.1307022483
#> 689 36 37 1.892682 1.933662 1.914296 0.0237247224 0.08824995 -0.1264396625
#> 690 36 37 1.933662 1.972404 1.953028 0.0143253008 0.08761405 -0.1322545404
#> 691 36 37 1.972404 2.008396 1.991781 0.0047677324 0.08638637 -0.1405220713
#> 692 36 37 2.008396 2.041395 2.025010 -0.0028711169 0.08516796 -0.1503573447
#> 693 36 37 2.041395 2.076143 2.057780 -0.0093878285 0.08405249 -0.1564123051
#> 694 36 37 2.076143 2.117286 2.094506 -0.0150421410 0.08310707 -0.1578365512
#> 695 36 37 2.117286 2.163326 2.140066 -0.0192282651 0.08256148 -0.1637623011
#> 696 36 37 2.163326 2.205605 2.186586 -0.0202692242 0.08273885 -0.1670111962
#> 697 36 37 2.205605 2.246900 2.224624 -0.0190655823 0.08330876 -0.1658337206
#> 698 36 37 2.246900 2.293677 2.269176 -0.0160385456 0.08421759 -0.1606472423
#> 699 36 37 2.293677 2.343877 2.318177 -0.0117451115 0.08522389 -0.1522490156
#> 700 36 37 2.343877 2.403865 2.369576 -0.0072329116 0.08612452 -0.1540004946
#> 701 36 37 2.403865 2.496138 2.438154 -0.0021708562 0.08721701 -0.1468501246
#> 702 36 37 2.496138 2.627070 2.554122 0.0046966570 0.08924490 -0.1402568821
#> 703 36 37 2.627070 3.622562 2.700018 0.0141467177 0.09213137 -0.1496220132
#> CIMax Effect
#> 1 0.210736096
#> 2 0.288288305
#> 3 0.317045993
#> 4 0.347243775
#> 5 0.354752759
#> 6 0.356833128
#> 7 0.355384196
#> 8 0.348898997
#> 9 0.339914095
#> 10 0.336082849
#> 11 0.320025883
#> 12 0.323072762
#> 13 0.327812354
#> 14 0.331751298
#> 15 0.326338847
#> 16 0.332600882
#> 17 0.333399055
#> 18 0.349633647
#> 19 0.361958643
#> 20 0.210736096
#> 21 0.288392191
#> 22 0.312890892
#> 23 0.341001730
#> 24 0.351216812
#> 25 0.352555429
#> 26 0.348442945 +
#> 27 0.341907846 +
#> 28 0.337609006 +
#> 29 0.326966842
#> 30 0.326157067
#> 31 0.323941920
#> 32 0.327812354
#> 33 0.331751298
#> 34 0.326338847
#> 35 0.346184258
#> 36 0.354516444
#> 37 0.361807791
#> 38 0.390101143
#> 39 0.210736096
#> 40 0.288392191 +
#> 41 0.312890892 +
#> 42 0.341001730 +
#> 43 0.351216812 +
#> 44 0.352555429 +
#> 45 0.348442945 +
#> 46 0.342008758 +
#> 47 0.343339658 +
#> 48 0.342095242 +
#> 49 0.340624178 +
#> 50 0.341891808
#> 51 0.341196034
#> 52 0.338834321
#> 53 0.341460400
#> 54 0.348502572
#> 55 0.354516444
#> 56 0.368910458
#> 57 0.388688740
#> 58 0.210736096 +
#> 59 0.288392191 +
#> 60 0.313189584 +
#> 61 0.341511221 +
#> 62 0.351963606 +
#> 63 0.356013824 +
#> 64 0.354530285 +
#> 65 0.348898997 +
#> 66 0.345653954 +
#> 67 0.345250075 +
#> 68 0.344504981 +
#> 69 0.342209522 +
#> 70 0.345298895 +
#> 71 0.339592064 +
#> 72 0.342018912 +
#> 73 0.359169611 +
#> 74 0.369030603 +
#> 75 0.369526022 +
#> 76 0.400016934 +
#> 77 0.210736096 +
#> 78 0.288392191 +
#> 79 0.313189584 +
#> 80 0.341511221 +
#> 81 0.351963606 +
#> 82 0.356013824 +
#> 83 0.356426286 +
#> 84 0.352548753 +
#> 85 0.346726951 +
#> 86 0.350184501 +
#> 87 0.356981338 +
#> 88 0.362419760 +
#> 89 0.350871214 +
#> 90 0.357939313 +
#> 91 0.364246729 +
#> 92 0.367759655 +
#> 93 0.382756256 +
#> 94 0.398978976 +
#> 95 0.407329787 +
#> 96 0.211367242 +
#> 97 0.307958726 +
#> 98 0.317349082 +
#> 99 0.341509020 +
#> 100 0.351963606 +
#> 101 0.352832950 +
#> 102 0.354707670 +
#> 103 0.349299441 +
#> 104 0.356903233 +
#> 105 0.369054429 +
#> 106 0.365950700 +
#> 107 0.363158753 +
#> 108 0.361467105 +
#> 109 0.362374999 +
#> 110 0.365767386 +
#> 111 0.371987019 +
#> 112 0.386963939 +
#> 113 0.406483008 +
#> 114 0.416902702 +
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#> 233 -0.014236080 -
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#> 655 0.139613662
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#> 662 0.154225924
#> 663 0.154665444
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#> 666 0.143267737
#> 667 0.188163138
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#> 669 0.208149339
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#> 676 0.124513073
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#> 686 0.188163138
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#> 688 0.208149339
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#> 690 0.182342895
#> 691 0.178285083
#> 692 0.169804960
#> 693 0.149892303
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#> 696 0.125847175
#> 697 0.131109319
#> 698 0.139695970
#> 699 0.151768230
#> 700 0.167153444
#> 701 0.178010149
#> 702 0.185530012
#> 703 0.187612922
#>
#> $matfit
#> [,1] [,2] [,3] [,4] [,5]
#> 1.64869392029419 0.08519190 0.08377005 0.08526049 0.08624506 0.08695333
#> 1.75126810787332 0.13064609 0.13079546 0.13399650 0.13576773 0.13716379
#> 1.79946777896389 0.14696532 0.14930779 0.15344299 0.15566594 0.15748824
#> 1.87106930768594 0.15976667 0.16796351 0.17343564 0.17639884 0.17897586
#> 1.91429554166968 0.15985185 0.17330396 0.17948259 0.18291210 0.18601077
#> 1.95302761682418 0.15527198 0.17450936 0.18123316 0.18507803 0.18868052
#> 1.99178060312141 0.14706875 0.17295199 0.18013274 0.18438051 0.18851429
#> 2.02501049762032 0.13801330 0.17007829 0.17757921 0.18215678 0.18676090
#> 2.05778004489866 0.12813640 0.16651259 0.17426227 0.17914858 0.18422310
#> 2.09450607114123 0.11700144 0.16241935 0.17036223 0.17557571 0.18117695
#> 2.14006616349627 0.10462940 0.15828064 0.16631893 0.17191698 0.17815811
#> 2.18658617913116 0.09503616 0.15604168 0.16398383 0.16996424 0.17682937
#> 2.22462355152433 0.08994301 0.15593865 0.16363981 0.16993798 0.17728330
#> 2.26917603086292 0.08697113 0.15755328 0.16478503 0.17147508 0.17934243
#> 2.31817718775388 0.08661631 0.16076604 0.16728168 0.17443922 0.18282552
#> 2.36957596181032 0.08824179 0.16475598 0.17038209 0.17807408 0.18693871
#> 2.43815433799455 0.09168026 0.16982173 0.17425879 0.18271078 0.19210411
#> 2.55412171880947 0.09819184 0.17717031 0.18025862 0.18993762 0.19994448
#> 2.70001802940495 0.10741668 0.18664805 0.18949738 0.20022326 0.21060388
#> [,6] [,7] [,8] [,9] [,10]
#> 1.64869392029419 0.08818506 0.08921709 0.0894445 0.08911883 0.08885104
#> 1.75126810787332 0.13906486 0.14052921 0.1403155 0.13881165 0.13689798
#> 1.79946777896389 0.15970260 0.16129642 0.1605797 0.15802774 0.15465376
#> 1.87106930768594 0.18167383 0.18335135 0.1814709 0.17668415 0.17027566
#> 1.91429554166968 0.18903404 0.19070814 0.1879132 0.18143947 0.17281118
#> 1.95302761682418 0.19203085 0.19367902 0.1899763 0.18185812 0.17112298
#> 1.99178060312141 0.19223238 0.19384384 0.1891997 0.17939897 0.16656822
#> 2.02501049762032 0.19082788 0.19240725 0.1869692 0.17576573 0.16123927
#> 2.05778004489866 0.18866220 0.19021546 0.1840386 0.17154268 0.15550384
#> 2.09450607114123 0.18606013 0.18759637 0.1806731 0.16688586 0.14939916
#> 2.14006616349627 0.18361771 0.18515702 0.1774598 0.16234942 0.14348117
#> 2.18658617913116 0.18288574 0.18445909 0.1761598 0.16002909 0.14022729
#> 2.22462355152433 0.18381817 0.18544143 0.1767840 0.16004379 0.13979885
#> 2.26917603086292 0.18641177 0.18811386 0.1791672 0.16191960 0.14144773
#> 2.31817718775388 0.19043617 0.19224118 0.1831003 0.16547941 0.14501315
#> 2.36957596181032 0.19505453 0.19697307 0.1877216 0.16983914 0.14954017
#> 2.43815433799455 0.20079052 0.20284922 0.1935316 0.17541303 0.15541808
#> 2.55412171880947 0.20937613 0.21160579 0.2022596 0.18389739 0.16431047
#> 2.70001802940495 0.22076104 0.22310235 0.2137714 0.19528756 0.17593138
#> [,11] [,12] [,13] [,14] [,15]
#> 1.64869392029419 0.07111032 0.07110834 0.065358069 0.063834896 0.063778643
#> 1.75126810787332 0.06434468 0.06433157 0.046084710 0.043933090 0.043221303
#> 1.79946777896389 0.02880008 0.02877381 0.000541526 -0.001545437 -0.002579736
#> 1.87106930768594 -0.08041861 -0.08048004 -0.127996525 -0.129177663 -0.130269106
#> 1.91429554166968 -0.18080788 -0.18090087 -0.241397708 -0.241458023 -0.242095866
#> 1.95302761682418 -0.28954048 -0.28966736 -0.361498727 -0.360186358 -0.359986346
#> 1.99178060312141 -0.41053833 -0.41070184 -0.492662461 -0.489681658 -0.488203132
#> 2.02501049762032 -0.51861959 -0.51881368 -0.607928731 -0.603350607 -0.600448698
#> 2.05778004489866 -0.62405464 -0.62427488 -0.718758306 -0.712528882 -0.707986025
#> 2.09450607114123 -0.73529603 -0.73553686 -0.833956450 -0.825879674 -0.819320245
#> 2.14006616349627 -0.85577064 -0.85601841 -0.956549607 -0.946328415 -0.937205740
#> 2.18658617913116 -0.95310335 -0.95333248 -1.053647571 -1.041544922 -1.029980576
#> 2.22462355152433 -1.01232664 -1.01252112 -1.111620292 -1.098270789 -1.084985866
#> 2.26917603086292 -1.06042835 -1.06056405 -1.157821377 -1.143357034 -1.128459628
#> 2.31817718775388 -1.09200328 -1.09206076 -1.187455931 -1.172153700 -1.155995248
#> 2.36957596181032 -1.10844967 -1.10842282 -1.202464069 -1.186626524 -1.169642284
#> 2.43815433799455 -1.11538486 -1.11526183 -1.208522374 -1.192328497 -1.174798866
#> 2.55412171880947 -1.11196253 -1.11174656 -1.205288247 -1.188913179 -1.171156385
#> 2.70001802940495 -1.10096887 -1.10072245 -1.195158735 -1.178739561 -1.161003353
#> [,16] [,17] [,18] [,19] [,20]
#> 1.64869392029419 0.08198757 0.07847458 0.07985037 0.08098689 0.08058409
#> 1.75126810787332 0.12161509 0.11647563 0.11915991 0.12255243 0.12221848
#> 1.79946777896389 0.13426417 0.12855740 0.13215091 0.13748582 0.13749737
#> 1.87106930768594 0.14195443 0.13573569 0.14111473 0.15074699 0.15187889
#> 1.91429554166968 0.14011817 0.13377522 0.14047429 0.15355664 0.15575204
#> 1.95302761682418 0.13513084 0.12877316 0.13676964 0.15341708 0.15678156
#> 1.99178060312141 0.12803606 0.12173174 0.13108096 0.15161292 0.15628954
#> 2.02501049762032 0.12118554 0.11496334 0.12546769 0.14945254 0.15530643
#> 2.05778004489866 0.11451891 0.10839642 0.11999251 0.14736583 0.15437057
#> 2.09450607114123 0.10794813 0.10194598 0.11466458 0.14567091 0.15389152
#> 2.14006616349627 0.10207277 0.09621656 0.11012325 0.14519196 0.15473241
#> 2.18658617913116 0.09925470 0.09353234 0.10838057 0.14691354 0.15752733
#> 2.22462355152433 0.09926958 0.09364259 0.10905500 0.14985020 0.16112603
#> 2.26917603086292 0.10138111 0.09585130 0.11171357 0.15452444 0.16635189
#> 2.31817718775388 0.10529814 0.09986166 0.11600731 0.16034441 0.17255424
#> 2.36957596181032 0.11001505 0.10466642 0.12094277 0.16627209 0.17870691
#> 2.43815433799455 0.11596151 0.11071834 0.12702118 0.17301902 0.18559567
#> 2.55412171880947 0.12482781 0.11972158 0.13595906 0.18223270 0.19490397
#> 2.70001802940495 0.13645733 0.13140593 0.14761314 0.19379404 0.20653819
#> [,21] [,22] [,23] [,24] [,25]
#> 1.64869392029419 0.07849686 0.07790001 0.07788864 0.07756103 0.06492792
#> 1.75126810787332 0.11952865 0.11847637 0.11840911 0.11707294 0.09571746
#> 1.79946777896389 0.13479416 0.13352021 0.13340749 0.13110394 0.10554730
#> 1.87106930768594 0.14953857 0.14797935 0.14777913 0.14321538 0.11193116
#> 1.91429554166968 0.15383288 0.15214943 0.15188833 0.14545265 0.11119282
#> 1.95302761682418 0.15534262 0.15358958 0.15327100 0.14487389 0.10831502
#> 1.99178060312141 0.15540439 0.15362636 0.15324867 0.14269676 0.10419428
#> 2.02501049762032 0.15493719 0.15317478 0.15274547 0.14027029 0.10037652
#> 2.05778004489866 0.15453330 0.15281915 0.15233797 0.13797325 0.09693977
#> 2.09450607114123 0.15466300 0.15303876 0.15249771 0.13610961 0.09404692
#> 2.14006616349627 0.15625453 0.15478645 0.15416704 0.13552608 0.09250147
#> 2.18658617913116 0.15978251 0.15851133 0.15780488 0.13725719 0.09354319
#> 2.22462355152433 0.16393550 0.16284165 0.16205715 0.14027451 0.09616676
#> 2.26917603086292 0.16973988 0.16885872 0.16797402 0.14509801 0.10067157
#> 2.31817718775388 0.17647469 0.17581769 0.17481271 0.15110839 0.10645292
#> 2.36957596181032 0.18306407 0.18261537 0.18147707 0.15722156 0.11240842
#> 2.43815433799455 0.19036432 0.19013316 0.18881896 0.16415415 0.11919498
#> 2.55412171880947 0.20009622 0.20007174 0.19851661 0.17356951 0.12841398
#> 2.70001802940495 0.21213670 0.21218874 0.21047781 0.18542683 0.14005243
#> [,26] [,27] [,28] [,29] [,30]
#> 1.64869392029419 0.05415703 0.046739186 0.044024911 0.042215027 0.040178604
#> 1.75126810787332 0.07599923 0.061498537 0.057390441 0.054161996 0.051193797
#> 1.79946777896389 0.08111756 0.062590348 0.057998577 0.054086981 0.050827975
#> 1.87106930768594 0.08061502 0.055886773 0.050949229 0.046147217 0.042700053
#> 1.91429554166968 0.07606633 0.047781798 0.042887536 0.037656918 0.034229142
#> 1.95302761682418 0.07012679 0.038946398 0.034249965 0.028709111 0.025364598
#> 1.99178060312141 0.06333753 0.029624787 0.025255391 0.019465451 0.016247008
#> 2.02501049762032 0.05756970 0.022012743 0.017999172 0.012034283 0.008943433
#> 2.05778004489866 0.05252021 0.015447555 0.011821233 0.005709214 0.002750601
#> 2.09450607114123 0.04817592 0.009746391 0.006553494 0.000296952 -0.002516456
#> 2.14006616349627 0.04531479 0.005648227 0.002917179 -0.003499371 -0.006149665
#> 2.18658617913116 0.04549712 0.004983002 0.002550583 -0.004012802 -0.006525886
#> 2.22462355152433 0.04771833 0.006747676 0.004383083 -0.002286979 -0.004713360
#> 2.26917603086292 0.05201979 0.010707084 0.008200618 0.001424986 -0.000929315
#> 2.31817718775388 0.05781865 0.016290125 0.013374679 0.006511671 0.004202793
#> 2.36957596181032 0.06396121 0.022314932 0.018764867 0.011843721 0.009550703
#> 2.43815433799455 0.07111228 0.029397783 0.024875930 0.017921263 0.015613781
#> 2.55412171880947 0.08089129 0.039142626 0.033277160 0.026318118 0.023947928
#> 2.70001802940495 0.09285619 0.051083599 0.044512752 0.037532009 0.035098737
#> [,31] [,32] [,33] [,34]
#> 1.64869392029419 0.0393202554 0.038734702 0.036892328 0.037467797
#> 1.75126810787332 0.0495204321 0.048308803 0.045644140 0.046754930
#> 1.79946777896389 0.0487271597 0.047165229 0.044239516 0.045662533
#> 1.87106930768594 0.0400048104 0.037916647 0.034817149 0.036747010
#> 1.91429554166968 0.0312359476 0.028851566 0.025772628 0.028011056
#> 1.95302761682418 0.0221597593 0.019534557 0.016544800 0.019042327
#> 1.99178060312141 0.0128888411 0.010050158 0.007204670 0.009927850
#> 2.02501049762032 0.0055009099 0.002501834 -0.000186006 0.002691226
#> 2.05778004489866 -0.0007349657 -0.003872678 -0.006382874 -0.003398781
#> 2.09450607114123 -0.0060086627 -0.009281286 -0.011575396 -0.008532114
#> 2.14006616349627 -0.0096022532 -0.013018077 -0.015032581 -0.012008579
#> 2.18658617913116 -0.0099030367 -0.013445579 -0.015176373 -0.012269983
#> 2.22462355152433 -0.0080174595 -0.011653990 -0.013164383 -0.010413153
#> 2.26917603086292 -0.0041491866 -0.007887377 -0.009163811 -0.006639753
#> 2.31817718775388 0.0010613189 -0.002776249 -0.003838524 -0.001593319
#> 2.36957596181032 0.0064677832 0.002547864 0.001648316 0.003594295
#> 2.43815433799455 0.0125709374 0.008593794 0.007800362 0.009360642
#> 2.55412171880947 0.0209034588 0.016984088 0.016121601 0.017086922
#> 2.70001802940495 0.0319994389 0.028270443 0.027162603 0.027564218
#> [,35] [,36] [,37]
#> 1.64869392029419 0.035315195 0.036152346 0.036117172
#> 1.75126810787332 0.043157286 0.044342995 0.044331797
#> 1.79946777896389 0.041393657 0.042652333 0.042681976
#> 1.87106930768594 0.031606703 0.032807189 0.032943487
#> 1.91429554166968 0.022443304 0.023503394 0.023724722
#> 1.95302761682418 0.013155518 0.014025859 0.014325301
#> 1.99178060312141 0.003774054 0.004401852 0.004767732
#> 2.02501049762032 -0.003658844 -0.003273229 -0.002871117
#> 2.05778004489866 -0.009921039 -0.009797705 -0.009387829
#> 2.09450607114123 -0.015230347 -0.015419893 -0.015042141
#> 2.14006616349627 -0.018909480 -0.019501577 -0.019228265
#> 2.18658617913116 -0.019365187 -0.020369915 -0.020269224
#> 2.22462355152433 -0.017657264 -0.018991194 -0.019065582
#> 2.26917603086292 -0.014043244 -0.015744563 -0.016038546
#> 2.31817718775388 -0.009148137 -0.011221246 -0.011745111
#> 2.36957596181032 -0.004088290 -0.006504725 -0.007232912
#> 2.43815433799455 0.001555697 -0.001230172 -0.002170856
#> 2.55412171880947 0.009163159 0.005994111 0.004696657
#> 2.70001802940495 0.019546473 0.016212746 0.014146718
#>
#> $cilower
#> [,1] [,2] [,3] [,4]
#> 1.64869392029419 -0.005710047 -0.0123803407 -0.0046117005 0.001047753
#> 1.75126810787332 -0.023841653 -0.0053646328 0.0053933857 0.010413806
#> 1.79946777896389 -0.023977315 -0.0154798235 0.0111290140 0.013459620
#> 1.87106930768594 -0.037246991 -0.0186323018 0.0026895877 0.020666474
#> 1.91429554166968 -0.050201501 -0.0106250561 0.0015690586 0.020017073
#> 1.95302761682418 -0.073114123 -0.0032738670 0.0023273569 0.019624511
#> 1.99178060312141 -0.101516446 0.0004954789 0.0121786924 0.014355879
#> 2.02501049762032 -0.116640814 0.0015945837 0.0111271737 0.012195034
#> 2.05778004489866 -0.150806986 0.0039833766 0.0082310900 0.012301887
#> 2.09450607114123 -0.187273048 -0.0134732485 0.0084200008 0.010553469
#> 2.14006616349627 -0.220385053 -0.0351108931 0.0004872498 0.003013858
#> 2.18658617913116 -0.243437487 -0.0332202388 -0.0103837391 0.006573833
#> 2.22462355152433 -0.260505929 -0.0343974737 -0.0140977096 0.012397006
#> 2.26917603086292 -0.273743367 -0.0406230705 -0.0246717941 0.021162915
#> 2.31817718775388 -0.283264303 -0.0393887856 -0.0299745977 0.027534004
#> 2.36957596181032 -0.277053303 -0.0314323319 -0.0287245723 0.032624278
#> 2.43815433799455 -0.272906481 -0.0323343643 -0.0234852617 0.023633617
#> 2.55412171880947 -0.245525278 -0.0288357899 -0.0117574710 0.021753704
#> 2.70001802940495 -0.233703564 -0.0327832574 -0.0020822357 0.031856387
#> [,5] [,6] [,7] [,8] [,9]
#> 1.64869392029419 0.001047753 0.002227202 0.002227202 0.002227202 0.002227202
#> 1.75126810787332 0.014335301 0.014335301 0.014335301 0.013753287 0.013753287
#> 1.79946777896389 0.019822862 0.019822862 0.021277064 0.020283078 0.020283078
#> 1.87106930768594 0.025843743 0.025843743 0.034428702 0.025899883 0.025899883
#> 1.91429554166968 0.020017073 0.032093152 0.036077699 0.032093152 0.028201424
#> 1.95302761682418 0.021219122 0.028199385 0.031202900 0.027231639 0.021571799
#> 1.99178060312141 0.018561297 0.022328987 0.034091143 0.022790395 0.016662354
#> 2.02501049762032 0.012211324 0.023226689 0.037717374 0.023965122 0.008633725
#> 2.05778004489866 0.015176746 0.024782772 0.025224085 0.024979600 0.004093662
#> 2.09450607114123 0.014729737 0.016359628 0.027924310 0.016359628 -0.005382345
#> 2.14006616349627 0.021132487 0.023674666 0.034627236 0.021220721 -0.014584681
#> 2.18658617913116 0.030744030 0.037112176 0.037220379 0.024629521 -0.022909584
#> 2.22462355152433 0.031917189 0.039672494 0.039703396 0.024744701 -0.028854986
#> 2.26917603086292 0.035517199 0.049605564 0.049605564 0.021125926 -0.034207081
#> 2.31817718775388 0.036657013 0.045986464 0.045986464 0.025681286 -0.032178299
#> 2.36957596181032 0.040078254 0.044599992 0.044599992 0.031086323 -0.039004722
#> 2.43815433799455 0.036971521 0.046063182 0.046063182 0.023599218 -0.043069318
#> 2.55412171880947 0.039671660 0.047744837 0.047744837 0.024557499 -0.033498066
#> 2.70001802940495 0.045961461 0.061917848 0.061917848 0.023405994 -0.027124847
#> [,10] [,11] [,12] [,13] [,14]
#> 1.64869392029419 0.002227202 -0.02161656 -0.02161656 -0.02363687 -0.02389953
#> 1.75126810787332 0.005393386 -0.06325507 -0.06325507 -0.08232517 -0.09333417
#> 1.79946777896389 0.013427605 -0.11621372 -0.11621372 -0.14685934 -0.14815379
#> 1.87106930768594 0.020656054 -0.24735357 -0.24735357 -0.30101570 -0.30211161
#> 1.91429554166968 0.020150336 -0.36681711 -0.36681711 -0.41821381 -0.42130577
#> 1.95302761682418 0.007328535 -0.48009890 -0.48009890 -0.54983592 -0.54983592
#> 1.99178060312141 -0.017537247 -0.61319392 -0.61319392 -0.68845197 -0.68649675
#> 2.02501049762032 -0.051440208 -0.73562374 -0.73562374 -0.79898481 -0.79488182
#> 2.05778004489866 -0.082611833 -0.84895291 -0.84895291 -0.92074634 -0.90433496
#> 2.09450607114123 -0.113122355 -0.96182641 -0.96182641 -1.05099714 -1.02840781
#> 2.14006616349627 -0.142842744 -1.07792719 -1.07792719 -1.17523124 -1.15512450
#> 2.18658617913116 -0.163566259 -1.18214699 -1.18214699 -1.28632187 -1.25879155
#> 2.22462355152433 -0.174118039 -1.23412997 -1.23412997 -1.35283781 -1.32013100
#> 2.26917603086292 -0.180843856 -1.28435949 -1.28435949 -1.40718468 -1.36405612
#> 2.31817718775388 -0.183545180 -1.31565354 -1.31565354 -1.45057284 -1.38648166
#> 2.36957596181032 -0.183509846 -1.33099526 -1.33099526 -1.46850235 -1.39434746
#> 2.43815433799455 -0.176358220 -1.33616705 -1.33616705 -1.47981858 -1.41237139
#> 2.55412171880947 -0.160154733 -1.33791430 -1.33791430 -1.48649482 -1.41486223
#> 2.70001802940495 -0.141726907 -1.33695410 -1.33695410 -1.48762186 -1.41195597
#> [,15] [,16] [,17] [,18]
#> 1.64869392029419 -0.02270212 -0.001463606 -0.003037048 -0.0001585957
#> 1.75126810787332 -0.09084983 -0.002358840 -0.004710091 0.0040999502
#> 1.79946777896389 -0.14814567 -0.001960721 -0.005466430 0.0044005137
#> 1.87106930768594 -0.30188656 -0.018171409 -0.019397462 -0.0019647128
#> 1.91429554166968 -0.42097875 -0.025503837 -0.037097719 -0.0052325178
#> 1.95302761682418 -0.54645061 -0.038277654 -0.052781032 -0.0147058761
#> 1.99178060312141 -0.68005511 -0.051082999 -0.065359197 -0.0247586740
#> 2.02501049762032 -0.79476829 -0.078378261 -0.081926147 -0.0437680041
#> 2.05778004489866 -0.90433496 -0.092597586 -0.111920304 -0.0521810985
#> 2.09450607114123 -1.02840781 -0.101406645 -0.130137299 -0.0592116615
#> 2.14006616349627 -1.15510727 -0.120423103 -0.139971321 -0.0846163119
#> 2.18658617913116 -1.26118084 -0.135680183 -0.145570180 -0.1038254573
#> 2.22462355152433 -1.32311767 -0.142753087 -0.145874361 -0.1130312134
#> 2.26917603086292 -1.36855520 -0.143446597 -0.143446597 -0.1140802847
#> 2.31817718775388 -1.39887528 -0.139460902 -0.139460902 -0.1103590822
#> 2.36957596181032 -1.41336398 -0.143901718 -0.143901718 -0.1143044258
#> 2.43815433799455 -1.41801214 -0.144926333 -0.144926333 -0.1304843697
#> 2.55412171880947 -1.41744302 -0.141582364 -0.140400937 -0.1272649081
#> 2.70001802940495 -1.39862999 -0.125638995 -0.125638995 -0.0975530808
#> [,19] [,20] [,21] [,22]
#> 1.64869392029419 -0.0001396732 -0.0001033604 -0.0001907811 -0.0001907811
#> 1.75126810787332 0.0040845380 0.0042269558 0.0040845380 0.0036361941
#> 1.79946777896389 0.0054178648 0.0058419742 0.0056071526 0.0053268382
#> 1.87106930768594 0.0026865099 0.0071644179 0.0071281152 0.0026560139
#> 1.91429554166968 0.0005948238 0.0029137335 0.0082861178 0.0008705732
#> 1.95302761682418 -0.0034063514 0.0038534586 0.0046016059 0.0044339391
#> 1.99178060312141 -0.0094413053 -0.0026771551 0.0095735456 0.0011905456
#> 2.02501049762032 -0.0098603117 -0.0068150863 0.0120396847 0.0012629450
#> 2.05778004489866 -0.0128513364 -0.0054177066 0.0109103561 0.0036069707
#> 2.09450607114123 -0.0174083529 0.0003493408 0.0105945018 0.0089565654
#> 2.14006616349627 -0.0154010051 0.0075983453 0.0128725239 0.0103570246
#> 2.18658617913116 -0.0239560295 0.0051904804 0.0158719591 0.0112492285
#> 2.22462355152433 -0.0251799939 0.0007925016 0.0192061883 0.0129354437
#> 2.26917603086292 -0.0236092402 -0.0022874063 0.0244372147 0.0158384189
#> 2.31817718775388 -0.0195294553 0.0145035784 0.0276267728 0.0197881299
#> 2.36957596181032 -0.0172712362 0.0181557083 0.0286481910 0.0265216664
#> 2.43815433799455 -0.0126049940 0.0282864972 0.0307672715 0.0307672715
#> 2.55412171880947 -0.0117615143 0.0332048527 0.0482280452 0.0541444929
#> 2.70001802940495 -0.0154523438 0.0343325748 0.0657989092 0.0657989092
#> [,23] [,24] [,25] [,26]
#> 1.64869392029419 -0.0001907811 -0.0001907811 -0.01986195 -0.03129231
#> 1.75126810787332 0.0036309143 -0.0028698702 -0.03644455 -0.06193879
#> 1.79946777896389 0.0053264057 -0.0054877330 -0.03735000 -0.07799048
#> 1.87106930768594 0.0026560139 -0.0108302339 -0.06165215 -0.09280813
#> 1.91429554166968 0.0008705732 -0.0173120301 -0.06930643 -0.09665915
#> 1.95302761682418 0.0044339391 -0.0293434006 -0.07958708 -0.10627271
#> 1.99178060312141 0.0011905456 -0.0393631589 -0.08053695 -0.11785298
#> 2.02501049762032 0.0012629450 -0.0417111469 -0.08160748 -0.12153803
#> 2.05778004489866 0.0036069707 -0.0445855806 -0.08816894 -0.12897917
#> 2.09450607114123 0.0089565654 -0.0482543562 -0.09375183 -0.13339060
#> 2.14006616349627 0.0103570246 -0.0443920409 -0.09356057 -0.13368090
#> 2.18658617913116 0.0112492285 -0.0403551294 -0.09889236 -0.12964569
#> 2.22462355152433 0.0129354437 -0.0375097391 -0.10503940 -0.12232555
#> 2.26917603086292 0.0158384189 -0.0286150024 -0.09795545 -0.11201985
#> 2.31817718775388 0.0197404705 -0.0203093203 -0.09068678 -0.11116824
#> 2.36957596181032 0.0240200711 -0.0220019477 -0.08540950 -0.10579131
#> 2.43815433799455 0.0306322558 -0.0235085163 -0.08198002 -0.10759088
#> 2.55412171880947 0.0481271431 -0.0206258011 -0.07839948 -0.09722916
#> 2.70001802940495 0.0592306783 -0.0208682587 -0.04369707 -0.09025662
#> [,27] [,28] [,29] [,30] [,31]
#> 1.64869392029419 -0.04905761 -0.05201982 -0.05892347 -0.06540934 -0.06540934
#> 1.75126810787332 -0.07025332 -0.07495165 -0.07593550 -0.09160426 -0.09160426
#> 1.79946777896389 -0.08466082 -0.08491903 -0.08570240 -0.10668986 -0.10668986
#> 1.87106930768594 -0.10500186 -0.10500186 -0.10674904 -0.11822081 -0.11822081
#> 1.91429554166968 -0.11660276 -0.11645334 -0.11671358 -0.12133462 -0.12133462
#> 1.95302761682418 -0.14039268 -0.12172052 -0.12172052 -0.13082517 -0.13082517
#> 1.99178060312141 -0.15389365 -0.12246358 -0.12246358 -0.14154037 -0.14154037
#> 2.02501049762032 -0.16448134 -0.13565952 -0.12449955 -0.15607982 -0.15607982
#> 2.05778004489866 -0.17365272 -0.14615336 -0.13257322 -0.15925152 -0.15925152
#> 2.09450607114123 -0.18135501 -0.15417740 -0.13812299 -0.16316212 -0.16316212
#> 2.14006616349627 -0.18550213 -0.15848863 -0.13651894 -0.16492411 -0.16492411
#> 2.18658617913116 -0.18245215 -0.15729858 -0.13315151 -0.16318928 -0.16318928
#> 2.22462355152433 -0.17476766 -0.15334910 -0.13114869 -0.16209736 -0.16209736
#> 2.26917603086292 -0.16285123 -0.14690468 -0.12894387 -0.16048425 -0.16048425
#> 2.31817718775388 -0.15582346 -0.13944137 -0.12264153 -0.14387853 -0.14952833
#> 2.36957596181032 -0.15267965 -0.12508705 -0.11751653 -0.14163795 -0.15117533
#> 2.43815433799455 -0.14710979 -0.11128618 -0.10895422 -0.13410115 -0.14578235
#> 2.55412171880947 -0.11919281 -0.11264980 -0.10945809 -0.13606355 -0.13606355
#> 2.70001802940495 -0.11355417 -0.11248302 -0.10865888 -0.13479756 -0.13479756
#> [,32] [,33] [,34] [,35] [,36]
#> 1.64869392029419 -0.06540934 -0.06540934 -0.06540934 -0.06540934 -0.06541203
#> 1.75126810787332 -0.09160426 -0.09468968 -0.09468968 -0.09521429 -0.09521429
#> 1.79946777896389 -0.10668986 -0.10868465 -0.10868465 -0.10928537 -0.10928537
#> 1.87106930768594 -0.11822081 -0.13112916 -0.13112916 -0.13112916 -0.13112916
#> 1.91429554166968 -0.12133462 -0.14182609 -0.14182609 -0.14182609 -0.14182609
#> 1.95302761682418 -0.13052715 -0.14955242 -0.14955242 -0.14955242 -0.14955242
#> 1.99178060312141 -0.14116047 -0.15548411 -0.15548411 -0.15548411 -0.15548411
#> 2.02501049762032 -0.15607982 -0.15919265 -0.15919265 -0.15919265 -0.15919265
#> 2.05778004489866 -0.15925152 -0.16170815 -0.15925152 -0.15925152 -0.15925152
#> 2.09450607114123 -0.16316212 -0.16940324 -0.16316212 -0.16316212 -0.16316212
#> 2.14006616349627 -0.16423377 -0.17764781 -0.16397258 -0.16925434 -0.16925434
#> 2.18658617913116 -0.16318928 -0.17888766 -0.16699365 -0.17866339 -0.17866339
#> 2.22462355152433 -0.16209736 -0.17364184 -0.16570599 -0.17374072 -0.17374072
#> 2.26917603086292 -0.16148821 -0.16148821 -0.16048425 -0.16192713 -0.16192713
#> 2.31817718775388 -0.15346426 -0.15346426 -0.14967156 -0.15956487 -0.15956487
#> 2.36957596181032 -0.15400049 -0.15400049 -0.15400049 -0.15790320 -0.15790320
#> 2.43815433799455 -0.15687949 -0.15687949 -0.15687949 -0.14699800 -0.14699800
#> 2.55412171880947 -0.14845389 -0.14845389 -0.14845389 -0.13929118 -0.13929118
#> 2.70001802940495 -0.13834816 -0.14239223 -0.13869499 -0.13631145 -0.13631145
#> [,37]
#> 1.64869392029419 -0.06541203
#> 1.75126810787332 -0.09414011
#> 1.79946777896389 -0.10908671
#> 1.87106930768594 -0.13070225
#> 1.91429554166968 -0.12643966
#> 1.95302761682418 -0.13225454
#> 1.99178060312141 -0.14052207
#> 2.02501049762032 -0.15035734
#> 2.05778004489866 -0.15641231
#> 2.09450607114123 -0.15783655
#> 2.14006616349627 -0.16376230
#> 2.18658617913116 -0.16701120
#> 2.22462355152433 -0.16583372
#> 2.26917603086292 -0.16064724
#> 2.31817718775388 -0.15224902
#> 2.36957596181032 -0.15400049
#> 2.43815433799455 -0.14685012
#> 2.55412171880947 -0.14025688
#> 2.70001802940495 -0.14962201
#>
#> $ciupper
#> [,1] [,2] [,3] [,4] [,5] [,6]
#> 1.64869392029419 0.2107361 0.2107361 0.2107361 0.2107361 0.2107361 0.2113672
#> 1.75126810787332 0.2882883 0.2883922 0.2883922 0.2883922 0.2883922 0.3079587
#> 1.79946777896389 0.3170460 0.3128909 0.3128909 0.3131896 0.3131896 0.3173491
#> 1.87106930768594 0.3472438 0.3410017 0.3410017 0.3415112 0.3415112 0.3415090
#> 1.91429554166968 0.3547528 0.3512168 0.3512168 0.3519636 0.3519636 0.3519636
#> 1.95302761682418 0.3568331 0.3525554 0.3525554 0.3560138 0.3560138 0.3528329
#> 1.99178060312141 0.3553842 0.3484429 0.3484429 0.3545303 0.3564263 0.3547077
#> 2.02501049762032 0.3488990 0.3419078 0.3420088 0.3488990 0.3525488 0.3492994
#> 2.05778004489866 0.3399141 0.3376090 0.3433397 0.3456540 0.3467270 0.3569032
#> 2.09450607114123 0.3360828 0.3269668 0.3420952 0.3452501 0.3501845 0.3690544
#> 2.14006616349627 0.3200259 0.3261571 0.3406242 0.3445050 0.3569813 0.3659507
#> 2.18658617913116 0.3230728 0.3239419 0.3418918 0.3422095 0.3624198 0.3631588
#> 2.22462355152433 0.3278124 0.3278124 0.3411960 0.3452989 0.3508712 0.3614671
#> 2.26917603086292 0.3317513 0.3317513 0.3388343 0.3395921 0.3579393 0.3623750
#> 2.31817718775388 0.3263388 0.3263388 0.3414604 0.3420189 0.3642467 0.3657674
#> 2.36957596181032 0.3326009 0.3461843 0.3485026 0.3591696 0.3677597 0.3719870
#> 2.43815433799455 0.3333991 0.3545164 0.3545164 0.3690306 0.3827563 0.3869639
#> 2.55412171880947 0.3496336 0.3618078 0.3689105 0.3695260 0.3989790 0.4064830
#> 2.70001802940495 0.3619586 0.3901011 0.3886887 0.4000169 0.4073298 0.4169027
#> [,7] [,8] [,9] [,10] [,11]
#> 1.64869392029419 0.2113061 0.2188466 0.2188467 0.2188467 0.198116989
#> 1.75126810787332 0.3059558 0.3059558 0.3059592 0.3059592 0.218320382
#> 1.79946777896389 0.3170892 0.3170892 0.3170894 0.3170894 0.195550649
#> 1.87106930768594 0.3415090 0.3417480 0.3417480 0.3417480 0.094796882
#> 1.91429554166968 0.3520750 0.3523375 0.3500418 0.3502106 0.006467788
#> 1.95302761682418 0.3561705 0.3563498 0.3524742 0.3530685 -0.076491600
#> 1.99178060312141 0.3634669 0.3634529 0.3486644 0.3560589 -0.194149871
#> 2.02501049762032 0.3683196 0.3638850 0.3415162 0.3479880 -0.289951782
#> 2.05778004489866 0.3700206 0.3588810 0.3381050 0.3405974 -0.382420900
#> 2.09450607114123 0.3798181 0.3521655 0.3434058 0.3434058 -0.460267532
#> 2.14006616349627 0.3788976 0.3522488 0.3449543 0.3449543 -0.543960404
#> 2.18658617913116 0.3681052 0.3607199 0.3454216 0.3454216 -0.642638577
#> 2.22462355152433 0.3791414 0.3508712 0.3453125 0.3453125 -0.710529237
#> 2.26917603086292 0.3834804 0.3579393 0.3375518 0.3375518 -0.773124673
#> 2.31817718775388 0.3842318 0.3642467 0.3413567 0.3397077 -0.814549022
#> 2.36957596181032 0.3841163 0.3677597 0.3483373 0.3467078 -0.839944362
#> 2.43815433799455 0.3869639 0.3827559 0.3509598 0.3531057 -0.851490667
#> 2.55412171880947 0.4064830 0.3989790 0.3571812 0.3670248 -0.852587641
#> 2.70001802940495 0.4169402 0.4073298 0.3690540 0.3840855 -0.824030986
#> [,12] [,13] [,14] [,15] [,16]
#> 1.64869392029419 0.198116989 0.19954929 0.19958978 0.20036027 0.2220308
#> 1.75126810787332 0.218320382 0.21823683 0.21824097 0.21835172 0.3038967
#> 1.79946777896389 0.195552497 0.19546738 0.19546738 0.19546738 0.3286659
#> 1.87106930768594 0.094796882 0.07424112 0.07424112 0.07424112 0.3436418
#> 1.91429554166968 -0.003546991 -0.01423608 -0.01423608 -0.01410754 0.3421104
#> 1.95302761682418 -0.094163772 -0.13555254 -0.13555254 -0.11523438 0.3360227
#> 1.99178060312141 -0.199663989 -0.25411925 -0.24603552 -0.23826826 0.3265918
#> 2.02501049762032 -0.296184076 -0.35901969 -0.34764273 -0.33278659 0.3165412
#> 2.05778004489866 -0.382420900 -0.46605483 -0.45661293 -0.42785314 0.3081842
#> 2.09450607114123 -0.460267532 -0.58240420 -0.56659030 -0.54713925 0.3020945
#> 2.14006616349627 -0.543960404 -0.71865349 -0.68618330 -0.65956329 0.2994076
#> 2.18658617913116 -0.642676637 -0.81938695 -0.75147646 -0.74222512 0.3016726
#> 2.22462355152433 -0.710580706 -0.88702250 -0.79562828 -0.78586243 0.3062285
#> 2.26917603086292 -0.773194264 -0.95421956 -0.83693600 -0.81071026 0.3156418
#> 2.31817718775388 -0.814640291 -0.99728408 -0.86415243 -0.82318600 0.3295935
#> 2.36957596181032 -0.833694908 -1.00369659 -0.87647382 -0.82498793 0.3341114
#> 2.43815433799455 -0.850428085 -1.00503708 -0.87705092 -0.81825614 0.3380083
#> 2.55412171880947 -0.846362192 -0.99100271 -0.87377195 -0.80695709 0.3511179
#> 2.70001802940495 -0.818054998 -0.96417734 -0.87072202 -0.80133973 0.3759440
#> [,17] [,18] [,19] [,20] [,21] [,22]
#> 1.64869392029419 0.2173640 0.2173640 0.2188986 0.2188986 0.2188937 0.2194138
#> 1.75126810787332 0.3038967 0.3038967 0.3100622 0.3100622 0.3100621 0.3121515
#> 1.79946777896389 0.3286659 0.3286659 0.3391932 0.3391932 0.3391929 0.3405962
#> 1.87106930768594 0.3436418 0.3436418 0.3604307 0.3604307 0.3604307 0.3605073
#> 1.91429554166968 0.3421104 0.3421104 0.3690459 0.3690459 0.3631867 0.3633985
#> 1.95302761682418 0.3360227 0.3361234 0.3638883 0.3594627 0.3535858 0.3539008
#> 1.99178060312141 0.3265918 0.3265918 0.3729997 0.3470433 0.3416013 0.3418513
#> 2.02501049762032 0.3165412 0.3165412 0.3772488 0.3364278 0.3318069 0.3319929
#> 2.05778004489866 0.3077024 0.3063491 0.3758349 0.3276518 0.3243136 0.3244193
#> 2.09450607114123 0.3000638 0.2966124 0.3733970 0.3228570 0.3228570 0.3228570
#> 2.14006616349627 0.2925964 0.2913564 0.3717407 0.3230803 0.3218676 0.3207833
#> 2.18658617913116 0.2949879 0.2913280 0.3713386 0.3315491 0.3290496 0.3290496
#> 2.22462355152433 0.3027571 0.2926300 0.3717821 0.3387637 0.3397967 0.3397967
#> 2.26917603086292 0.3127574 0.2995210 0.3728880 0.3458571 0.3547010 0.3547010
#> 2.31817718775388 0.3211128 0.3126261 0.3820438 0.3528103 0.3710597 0.3710597
#> 2.36957596181032 0.3288215 0.3258202 0.3937419 0.3627674 0.3766022 0.3842497
#> 2.43815433799455 0.3373860 0.3373847 0.4023911 0.3703109 0.3796242 0.4008964
#> 2.55412171880947 0.3511179 0.3362001 0.4187036 0.3785177 0.3878056 0.4144808
#> 2.70001802940495 0.3759440 0.3574017 0.4258325 0.3840451 0.4065779 0.4230415
#> [,23] [,24] [,25] [,26] [,27] [,28]
#> 1.64869392029419 0.2194138 0.2193268 0.1774570 0.1678766 0.1628780 0.1499436
#> 1.75126810787332 0.3121515 0.3115642 0.2553749 0.2411936 0.2059249 0.2055800
#> 1.79946777896389 0.3405962 0.3405636 0.2861075 0.2654557 0.2197440 0.2171969
#> 1.87106930768594 0.3605073 0.3605073 0.3238515 0.2890709 0.2288582 0.2247454
#> 1.91429554166968 0.3633985 0.3632827 0.3286482 0.2931976 0.2217150 0.2163980
#> 1.95302761682418 0.3539008 0.3536736 0.3274822 0.2849372 0.2082308 0.2067962
#> 1.99178060312141 0.3418513 0.3416604 0.3204239 0.2783857 0.1998699 0.1975813
#> 2.02501049762032 0.3319929 0.3318217 0.3118398 0.2784315 0.1915655 0.1915655
#> 2.05778004489866 0.3244193 0.3242657 0.3031573 0.2757116 0.1841125 0.1841125
#> 2.09450607114123 0.3228570 0.3227909 0.2965326 0.2715497 0.1774894 0.1756056
#> 2.14006616349627 0.3207833 0.3207459 0.2913564 0.2792074 0.1741193 0.1646317
#> 2.18658617913116 0.3290496 0.3289061 0.2913280 0.2891373 0.1747490 0.1636293
#> 2.22462355152433 0.3397967 0.3394721 0.2996414 0.2890366 0.1738451 0.1677998
#> 2.26917603086292 0.3547010 0.3439514 0.3130743 0.2883932 0.1724209 0.1717655
#> 2.31817718775388 0.3710597 0.3468569 0.3267408 0.3005998 0.1782086 0.1762768
#> 2.36957596181032 0.3842497 0.3525241 0.3396865 0.3067288 0.1811719 0.1795383
#> 2.43815433799455 0.4008964 0.3616475 0.3518338 0.3147769 0.1914202 0.1901390
#> 2.55412171880947 0.4144808 0.3732274 0.3544455 0.3286110 0.2091177 0.2071249
#> 2.70001802940495 0.4230415 0.3834394 0.3524644 0.3393505 0.2206268 0.2176521
#> [,29] [,30] [,31] [,32] [,33] [,34]
#> 1.64869392029419 0.1463240 0.1441142 0.1441142 0.1441142 0.1432675 0.1432677
#> 1.75126810787332 0.2044336 0.1957816 0.1957816 0.1957816 0.1881584 0.1881584
#> 1.79946777896389 0.2132411 0.2112306 0.2112306 0.2076925 0.2039187 0.2039186
#> 1.87106930768594 0.2206565 0.2159754 0.2159754 0.2078006 0.1991832 0.1991719
#> 1.91429554166968 0.2140714 0.2093933 0.2093933 0.1977468 0.1923963 0.1923666
#> 1.95302761682418 0.2045177 0.2045177 0.2000717 0.1878421 0.1878434 0.1965387
#> 1.99178060312141 0.1891359 0.1891359 0.1855889 0.1845683 0.1845683 0.1858690
#> 2.02501049762032 0.1831975 0.1831975 0.1794649 0.1645322 0.1645322 0.1786695
#> 2.05778004489866 0.1786276 0.1786276 0.1706410 0.1424369 0.1424369 0.1471829
#> 2.09450607114123 0.1676425 0.1618698 0.1607053 0.1293212 0.1293212 0.1313056
#> 2.14006616349627 0.1623684 0.1587123 0.1529699 0.1243668 0.1243668 0.1254778
#> 2.18658617913116 0.1568035 0.1568035 0.1468025 0.1253857 0.1253857 0.1264575
#> 2.22462355152433 0.1547005 0.1547005 0.1433564 0.1271092 0.1271092 0.1313013
#> 2.26917603086292 0.1570376 0.1570376 0.1405946 0.1328922 0.1328922 0.1394513
#> 2.31817718775388 0.1646336 0.1646336 0.1524530 0.1381891 0.1483549 0.1512493
#> 2.36957596181032 0.1708321 0.1708321 0.1699035 0.1373911 0.1556733 0.1543205
#> 2.43815433799455 0.1838466 0.1792529 0.1779447 0.1529565 0.1592478 0.1590025
#> 2.55412171880947 0.1957261 0.1941259 0.1786016 0.1720122 0.1760633 0.1723926
#> 2.70001802940495 0.2062416 0.2062416 0.1801611 0.1726130 0.1890731 0.1797250
#> [,35] [,36] [,37]
#> 1.64869392029419 0.1344941 0.1432677 0.1357628
#> 1.75126810787332 0.1832666 0.1881631 0.1881631
#> 1.79946777896389 0.1947225 0.2041685 0.2041685
#> 1.87106930768594 0.1897471 0.2081493 0.2081493
#> 1.91429554166968 0.1851093 0.1981042 0.1981042
#> 1.95302761682418 0.1817894 0.1967800 0.1823429
#> 1.99178060312141 0.1629025 0.1900677 0.1782851
#> 2.02501049762032 0.1507588 0.1698461 0.1698050
#> 2.05778004489866 0.1396137 0.1463732 0.1498923
#> 2.09450607114123 0.1218116 0.1290929 0.1309259
#> 2.14006616349627 0.1171663 0.1245131 0.1356618
#> 2.18658617913116 0.1164942 0.1258472 0.1258472
#> 2.22462355152433 0.1233215 0.1311093 0.1311093
#> 2.26917603086292 0.1344020 0.1397532 0.1396960
#> 2.31817718775388 0.1483549 0.1515267 0.1517682
#> 2.36957596181032 0.1542259 0.1556733 0.1671534
#> 2.43815433799455 0.1546654 0.1646438 0.1780101
#> 2.55412171880947 0.1601237 0.1762462 0.1855300
#> 2.70001802940495 0.1664344 0.1875158 0.1876129
#>
#> $cenval
#> [1] 0
#>
#> $cumulative.effect
#> vals mean lower upper
#> 1 1.648694 2.4734001 -0.2356304 6.202399
#> 2 1.751268 3.4194346 -0.3470424 7.324298
#> 3 1.799468 3.5385934 -0.4227498 7.832927
#> 4 1.871069 3.1466701 -1.2694460 7.710488
#> 5 1.914296 2.5771637 -1.7615008 7.078597
#> 6 1.953028 1.8950104 -2.2202982 6.459007
#> 7 1.991781 1.1073709 -2.8249025 5.799924
#> 8 2.025010 0.3997805 -3.4199298 5.238572
#> 9 2.057780 -0.2813564 -4.0707188 4.634817
#> 10 2.094506 -0.9771953 -4.6655850 3.878877
#> 11 2.140066 -1.6820007 -5.1703573 3.086274
#> 12 2.186586 -2.1817923 -5.5365898 2.369690
#> 13 2.224624 -2.4259910 -5.8117258 1.859838
#> 14 2.269176 -2.5535221 -6.0527082 1.345110
#> 15 2.318177 -2.5538011 -6.0631066 1.301911
#> 16 2.369576 -2.4678267 -6.0211299 1.533325
#> 17 2.438154 -2.3073356 -5.8786869 1.951070
#> 18 2.554122 -2.0192744 -6.0676364 2.359559
#> 19 2.700018 -1.6112729 -5.4544660 2.687389
#>
#> $pred.at
#> [1] 1.648694 1.751268 1.799468 1.871069 1.914296 1.953028 1.991781 2.025010
#> [9] 2.057780 2.094506 2.140066 2.186586 2.224624 2.269176 2.318177 2.369576
#> [17] 2.438154 2.554122 2.700018
#>
#> $gamma.mean
#> (Intercept) c1 c2 c3 c4 c5
#> -2.7979661 0.9107072 -0.1910203 0.4548969 0.6889542 -1.4066732
#> b1 b2 b3 b4 b5
#> 1.4532819 -0.7895788 -0.6377020 -1.5426735 0.8353829
#>
#> $gamma.ci
#> (Intercept) c1 c2 c3 c4 c5 b1
#> 2.5% -13.59476 0.7910823 -0.31624891 0.3450385 0.5697343 -1.506548 1.268652
#> 97.5% 9.24925 1.0038502 -0.08189896 0.5475246 0.7919137 -1.305160 1.668274
#> b2 b3 b4 b5
#> 2.5% -1.0143324 -0.8501054 -1.757720 0.6440218
#> 97.5% -0.5914634 -0.4292081 -1.319428 1.0625073
#>
#> $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
#>
#> $formula
#> y ~ .
#> <environment: 0x558f372a4128>
#>
#> attr(,"class")
#> [1] "summary.tdlnm"
# plot results
plot(tdlnm.sum)
# Heterogeneous TDLM (HDLM), similar to first example but with heterogeneous exposure response
D <- sim.hdlmm(sim = "B", n = 1000)
hdlm.fit <- dlmtree(y ~ .,
data = D$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] 0.04624167
#>
#> $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 0.220
#> mod_scale 1.000
#> c1 0.195
#> c2 0.245
#> c3 0.190
#> c4 0.190
#> c5 0.305
#> b1 0.200
#> b2 0.185
#> b3 0.245
#> b4 0.275
#> b5 0.330
#>
#> $gamma.mean
#> (Intercept) mod_num mod_bin mod_scale c1 c2
#> 0.06547310 -0.76770733 -0.90636329 -0.81598950 -1.76960545 -0.32848014
#> c3 c4 c5 b1 b2 b3
#> -0.37422263 0.44905533 -0.84156558 -1.65642412 -0.21607148 1.35960716
#> b4 b5
#> 1.04285298 -0.02575251
#>
#> $gamma.ci
#> (Intercept) mod_num mod_bin mod_scale c1 c2
#> 2.5% -0.1300557 -0.8203678 -1.0280270 -1.0681400 -1.836201 -0.3991466
#> 97.5% 0.2320539 -0.7083332 -0.7857629 -0.6122201 -1.711551 -0.2612654
#> c3 c4 c5 b1 b2 b3 b4
#> 2.5% -0.4354658 0.3942930 -0.9009122 -1.776757 -0.3275970 1.219376 0.9070557
#> 97.5% -0.3144561 0.4952124 -0.7797358 -1.521695 -0.1003805 1.469326 1.1648929
#> b5
#> 2.5% -0.13798984
#> 97.5% 0.08448181
#>
#> $formula
#> y ~ .
#> <environment: 0x558f372a4128>
#>
#> attr(,"class")
#> [1] "summary.hdlm"
# shiny app for HDLM
if (interactive()) {
shiny(hdlm.fit)
}
# The next two examples are for a mixture (or multivariate) exposure
# Treed distributed lag mixture model (TDLMM)
# Model for mixutre (or multivariate) lagged exposures
# with a homogenious exposure-time-response function
D <- sim.tdlmm(sim = "B", error = 25, n = 1000)
tdlmm.fit <- dlmtree(y ~ .,
data = D$dat, exposure.data = D$exposures,
control.mix = list(interactions = "noself"),
dlm.type = "linear", family = "gaussian",
mixture = TRUE)
#> Preparing data...
#>
#> Running TDLMM:
#> Burn-in % complete
#> [0--------25--------50--------75--------100]
#> ''''''''''''''''''''''''''''''''''''''''''
#> MCMC iterations (est time: 4 seconds)
#> [0--------25--------50--------75--------100]
#> ''''''''''''''''''''''''''''''''''''''''''
#> Compiling results...
# summarize results
tdlmm.sum <- summary(tdlmm.fit)
#> Specified co-exposure values:
#> - e1 : 4.210665
#> - e2 : 4.521686
#> - e3 : 4.542955
#> - e4 : 4.16903
#> - e5 : 5.989966
#>
#> Reconstructing main effects...
#> Reconstructing interaction effects...
#> 0%...25%...50%...75%...100%
#> Calculating marginal effects...
#> Calculating fixed effects...
# plot the marginal exposure-response for one exposure
plot(tdlmm.sum, exposure1 = "e1")
# plot exposure-response surface
plot(tdlmm.sum, exposure1 = "e1", exposure2 = "e2")
# heterogeneous version of TDLMM
D <- sim.hdlmm(sim = "D", n = 1000)
hdlmm.fit <- dlmtree(y ~ .,
data = D$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: 18 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] 0.1446713
#>
#> $n
#> [1] 1000
#>
#> $pip
#> PIP
#> mod_num 1.000
#> mod_bin 1.000
#> mod_scale 0.610
#> c1 0.615
#> c2 0.660
#> c3 0.590
#> c4 0.590
#> c5 0.585
#> b1 0.650
#> b2 0.525
#> b3 0.530
#> b4 0.630
#> b5 0.670
#>
#> $gamma.mean
#> (Intercept) mod_num mod_bin mod_scale c1 c2
#> 0.07397308 -0.52338439 0.61439876 0.15678325 -0.95094562 -0.35536013
#> c3 c4 c5 b1 b2 b3
#> -0.97791573 0.02710308 -0.37602907 -0.80716861 0.22000447 -1.72244874
#> b4 b5
#> 0.41002102 0.40381565
#>
#> $gamma.ci
#> (Intercept) mod_num mod_bin mod_scale c1 c2
#> 2.5% -0.1948883 -0.6327313 0.4422727 -0.07928703 -1.0066013 -0.4184569
#> 97.5% 0.3629531 -0.4171722 0.7924518 0.41398418 -0.8887251 -0.2930832
#> c3 c4 c5 b1 b2 b3
#> 2.5% -1.0531001 -0.03051704 -0.4496306 -0.9422078 0.07360462 -1.862246
#> 97.5% -0.9113642 0.09596587 -0.3089417 -0.6564237 0.35708173 -1.577743
#> b4 b5
#> 2.5% 0.2771308 0.2422111
#> 97.5% 0.5322355 0.5465887
#>
#> $formula
#> y ~ .
#> <environment: 0x558f372a4128>
#>
#> attr(,"class")
#> [1] "summary.hdlmm"
# summarize results
if (interactive()) {
shiny(hdlmm.fit)
}
# }