Compute posterior distributions of fitted values (expected values) for both the numerator and denominator processes from a fitted ratio model.
Value
If summary = TRUE, a data frame with posterior summaries.
If summary = FALSE, a list with matrices of posterior draws.
Examples
# \donttest{
# Generate synthetic data
set.seed(789)
n <- 40
df <- data.frame(
count = rpois(n, lambda = 15),
effort = rgamma(n, shape = 8, rate = 1),
depth = rnorm(n)
)
# Fit model
fit <- tratio(
count | effort ~ depth,
data = df,
family = ratiod_poisson_gamma(),
mode = "hmc",
control = list(iter = 200, warmup = 100, chains = 1)
)
#> Inference: Exact (Tier 1)
#> Backend: hmc
#> Fitting ratio model...
#> Family: poisson_gamma
#> Observations: 40
#> Iterations: 200 (warmup: 100)
#> Running NUTS sampler...
#> Parameters: 5
#> Iterations: 200 (warmup: 100)
#> Chains: 1 (cores: 1)
# Get fitted value summaries
fitted(fit)
#> tulpaRatio fitted values
#> ===================
#>
#> Posterior draws: 100
#>
#> obs component mean sd q2.5 q50 q97.5
#> 1 numerator 14.82920 0.8105757 13.78574 14.69948 16.65616
#> 2 numerator 13.37803 1.0636383 11.73253 13.36319 15.91341
#> 3 numerator 13.67111 0.7934199 12.45604 13.56863 15.47703
#> 4 numerator 15.13275 1.0884762 13.53981 15.01933 17.65223
#> 5 numerator 13.33816 1.1028041 11.60591 13.31677 15.97165
#> 6 numerator 13.92112 0.6059186 12.95237 13.88372 15.09529
#> 7 numerator 15.05087 1.0104849 13.62229 14.95818 17.33615
#> 8 numerator 14.50644 0.5768498 13.56638 14.42681 15.51434
#> 9 numerator 14.13854 0.5101485 13.35360 14.13808 15.19163
#> 10 numerator 15.95535 1.9285160 12.70200 15.74023 20.90648
#>
#> ... and 110 more rows
# Get just numerator fitted values
fitted(fit, component = "numerator")
#> tulpaRatio fitted values
#> ===================
#>
#> Posterior draws: 100
#>
#> obs component mean sd q2.5 q50 q97.5
#> 1 numerator 14.82920 0.8105757 13.78574 14.69948 16.65616
#> 2 numerator 13.37803 1.0636383 11.73253 13.36319 15.91341
#> 3 numerator 13.67111 0.7934199 12.45604 13.56863 15.47703
#> 4 numerator 15.13275 1.0884762 13.53981 15.01933 17.65223
#> 5 numerator 13.33816 1.1028041 11.60591 13.31677 15.97165
#> 6 numerator 13.92112 0.6059186 12.95237 13.88372 15.09529
#> 7 numerator 15.05087 1.0104849 13.62229 14.95818 17.33615
#> 8 numerator 14.50644 0.5768498 13.56638 14.42681 15.51434
#> 9 numerator 14.13854 0.5101485 13.35360 14.13808 15.19163
#> 10 numerator 15.95535 1.9285160 12.70200 15.74023 20.90648
#>
#> ... and 30 more rows
# Get full posterior draws
fitted(fit, summary = FALSE)
#> $numerator
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
#> [1,] 14.51622 15.15030 15.00791 14.40274 15.17034 14.89279 14.43280 14.64328
#> [2,] 14.51622 15.15030 15.00791 14.40274 15.17034 14.89279 14.43280 14.64328
#> [3,] 14.73339 13.16797 13.49876 15.04036 13.12231 13.77463 14.95818 14.39989
#> [4,] 14.73339 13.16797 13.49876 15.04036 13.12231 13.77463 14.95818 14.39989
#> [5,] 16.09762 12.61449 13.31246 16.83452 12.51974 13.91008 16.63549 15.31714
#> [6,] 15.72762 12.98174 13.54372 16.29148 12.90494 14.01994 16.13971 15.12439
#> [7,] 15.72762 12.98174 13.54372 16.29148 12.90494 14.01994 16.13971 15.12439
#> [8,] 15.72762 12.98174 13.54372 16.29148 12.90494 14.01994 16.13971 15.12439
#> [9,] 15.72762 12.98174 13.54372 16.29148 12.90494 14.01994 16.13971 15.12439
#> [10,] 14.64620 13.39397 13.66100 14.88849 13.35700 13.88268 14.82372 14.38180
#> [11,] 14.03740 12.72071 13.00048 14.29352 12.68203 13.23315 14.22501 13.75839
#> [12,] 14.47033 12.97000 13.28740 14.76405 12.92618 13.55195 14.68543 14.15105
#> [13,] 14.13159 13.98548 14.01762 14.15857 13.98099 14.04388 14.15140 14.10168
#> [14,] 14.45277 13.51708 13.71840 14.63145 13.48914 13.88477 14.58376 14.25694
#> [15,] 14.49266 13.32054 13.57099 14.71879 13.28585 13.77869 14.65836 14.24566
#> [16,] 14.63492 12.72288 13.12247 15.01595 12.66792 13.45757 14.91375 14.22318
#> [17,] 13.94975 12.89765 13.12298 14.15201 12.86641 13.30963 14.09798 13.72855
#> [18,] 13.88977 12.08559 12.46277 14.24912 12.03370 12.77902 14.15274 13.50138
#> [19,] 13.88977 12.08559 12.46277 14.24912 12.03370 12.77902 14.15274 13.50138
#> [20,] 15.56221 14.38222 14.63490 15.78912 14.34720 14.84422 15.72851 15.31409
#> [21,] 16.64668 13.82431 14.40338 17.22421 13.74513 14.89347 17.06883 16.02809
#> [22,] 16.64668 13.82431 14.40338 17.22421 13.74513 14.89347 17.06883 16.02809
#> [23,] 15.76399 13.40256 13.89167 16.24068 13.33547 14.30368 16.11263 15.25107
#> [24,] 15.89388 13.27437 13.81305 16.42815 13.20065 14.26844 16.28446 15.32100
#> [25,] 15.10870 11.79263 12.45604 15.81187 11.70262 13.02453 15.62190 14.36454
#> [26,] 15.10870 11.79263 12.45604 15.81187 11.70262 13.02453 15.62190 14.36454
#> [27,] 14.76550 13.99763 14.16372 14.91098 13.97453 14.30061 14.87218 14.60564
#> [28,] 15.50666 14.37268 14.61578 15.72435 14.33897 14.81706 15.66621 15.26848
#> [29,] 14.94129 12.57124 13.06008 15.42262 12.50428 13.47272 15.29324 14.42444
#> [30,] 15.01169 13.18244 13.56627 15.37410 13.12957 13.88751 15.27696 14.61931
#> [31,] 15.28931 13.70763 14.04227 15.59891 13.66142 14.32118 15.51604 14.95276
#> [32,] 15.28931 13.70763 14.04227 15.59891 13.66142 14.32118 15.51604 14.95276
#> [33,] 15.39783 14.30395 14.53867 15.60755 14.27140 14.73291 15.55155 15.16828
#> [34,] 15.01289 12.16620 12.74449 15.60366 12.08737 13.23633 15.44446 14.38310
#> [35,] 14.76694 11.99409 12.55790 15.34164 11.91720 13.03721 15.18680 14.15403
#> [36,] 13.82165 13.29310 13.40807 13.92094 13.27708 13.50256 13.89449 13.71224
#> [37,] 13.78658 13.96465 13.92512 13.75414 13.97020 13.89298 13.76275 13.82269
#> [38,] 15.94624 12.50352 13.19356 16.67435 12.40984 13.78433 16.47770 15.17499
#> [39,] 15.69801 12.99205 13.54646 16.25281 12.91626 14.01601 16.10351 15.10416
#> [40,] 15.58714 13.37591 13.83563 16.03111 13.31279 14.22215 15.91193 15.10857
#> [41,] 15.46345 12.30258 12.93990 16.12641 12.21590 13.48395 15.94753 14.75924
#> [42,] 14.22353 12.34824 12.73993 14.59753 12.29438 13.06850 14.49721 13.81948
#> [43,] 14.66591 12.56784 13.00378 15.08751 12.50798 13.37043 14.97432 14.21159
#> [44,] 15.37862 13.97886 14.27664 15.65041 13.93768 14.52414 15.57773 15.08237
#> [45,] 14.98541 14.78384 14.82813 15.02271 14.77765 14.86434 15.01279 14.94410
#> [46,] 15.55761 13.62596 14.03085 15.94088 13.57022 14.36989 15.83813 15.14283
#> [47,] 14.78009 13.60721 13.85798 15.00614 13.57246 14.06589 14.94574 14.53309
#> [48,] 15.26062 12.68611 13.21454 15.78713 12.61384 13.66168 15.64548 14.69657
#> [49,] 14.89789 12.84780 13.27486 15.30834 12.78912 13.63358 15.19819 14.45504
#> [50,] 13.89874 13.42506 13.52827 13.98750 13.41067 13.61302 13.96386 13.80086
#> [51,] 13.89936 13.42568 13.52889 13.98812 13.41129 13.61364 13.96448 13.80147
#> [52,] 14.16240 14.13047 14.13751 14.16826 14.12948 14.14326 14.16671 14.15588
#> [53,] 14.16240 14.13047 14.13751 14.16826 14.12948 14.14326 14.16671 14.15588
#> [54,] 13.86809 13.82714 13.83617 13.87563 13.82587 13.84355 13.87362 13.85974
#> [55,] 13.86809 13.82714 13.83617 13.87563 13.82587 13.84355 13.87362 13.85974
#> [56,] 15.78759 12.67524 13.30511 16.43696 12.58947 13.84181 16.26186 15.09658
#> [57,] 13.78499 13.51238 13.57212 13.83563 13.50403 13.62103 13.82215 13.72898
#> [58,] 14.75181 12.90638 13.29303 15.11821 12.85316 13.61687 15.01997 14.35539
#> [59,] 14.34787 13.35047 13.56462 14.53891 13.32076 13.74179 14.48790 14.13870
#> [60,] 14.10677 14.13017 14.12500 14.10247 14.13090 14.12078 14.10362 14.11154
#> [61,] 14.69948 12.57273 13.01430 15.12732 12.51212 13.38581 15.01244 14.23861
#> [62,] 14.69948 12.57273 13.01430 15.12732 12.51212 13.38581 15.01244 14.23861
#> [63,] 14.69948 12.57273 13.01430 15.12732 12.51212 13.38581 15.01244 14.23861
#> [64,] 14.61495 13.92310 14.07304 14.74564 13.90224 14.19649 14.71080 14.47119
#> [65,] 13.82415 15.30370 14.96384 13.56850 15.35189 14.69231 13.63596 14.11364
#> [66,] 13.82415 15.30370 14.96384 13.56850 15.35189 14.69231 13.63596 14.11364
#> [67,] 14.78360 16.42988 16.05116 14.49982 16.48360 15.74882 14.57468 15.10521
#> [68,] 14.35290 15.96262 15.59221 14.07554 16.01517 15.29655 14.14871 14.66728
#> [69,] 13.26801 15.43515 14.92789 12.90458 15.50752 14.52663 13.00016 13.68354
#> [70,] 13.90690 15.85901 15.40552 13.57557 15.92355 15.04535 13.66283 14.28427
#> [71,] 13.87899 16.04834 15.54173 13.51386 16.12057 15.14048 13.60993 14.29598
#> [72,] 14.05027 13.57250 13.67661 14.13978 13.55799 13.76209 14.11594 13.95154
#> [73,] 14.61962 13.69082 13.89075 14.79685 13.66306 14.05594 14.74955 14.42532
#> [74,] 14.67278 12.21276 12.71795 15.17551 12.14366 13.14531 15.04028 14.13408
#> [75,] 14.35822 12.58120 12.95375 14.71072 12.52991 13.26568 14.61622 13.97672
#> [76,] 15.62473 14.08663 14.41277 15.92482 14.04156 14.68429 15.84452 15.29815
#> [77,] 14.67501 14.10476 14.22878 14.78218 14.08749 14.33071 14.75363 14.55694
#> [78,] 14.92323 14.51059 14.60074 15.00025 14.49802 14.67466 14.97975 14.83818
#> [79,] 14.68710 13.49270 13.74786 14.91759 13.45735 13.95949 14.85600 14.43536
#> [80,] 15.26108 13.02579 13.48950 15.71130 12.96215 13.87981 15.59039 14.77630
#> [81,] 16.30082 11.01136 12.00800 17.51803 10.87860 12.88708 17.18601 15.04816
#> [82,] 16.82471 11.13993 12.20206 18.14763 10.99881 13.14265 17.78630 15.46852
#> [83,] 16.66473 11.73253 12.67810 17.77365 11.60591 13.50526 17.47200 15.51434
#> [84,] 16.66473 11.73253 12.67810 17.77365 11.60591 13.50526 17.47200 15.51434
#> [85,] 12.97156 14.77313 14.35481 12.66554 14.83265 14.02249 12.74614 13.32001
#> [86,] 15.90664 12.58935 13.25679 16.60448 12.49863 13.82714 16.41613 15.16612
#> [87,] 15.22085 12.06758 12.70247 15.88353 11.98127 13.24481 15.70469 14.51741
#> [88,] 15.22085 12.06758 12.70247 15.88353 11.98127 13.24481 15.70469 14.51741
#> [89,] 15.15681 12.39397 12.95729 15.72722 12.31709 13.43552 15.57360 14.54768
#> [90,] 14.08534 14.25923 14.22064 14.05364 14.26465 14.18925 14.06206 14.12061
#> [91,] 14.24853 14.04380 14.08876 14.28644 14.03752 14.12554 14.27636 14.20656
#> [92,] 14.61689 14.11774 14.22650 14.71042 14.10258 14.31580 14.68551 14.51374
#> [93,] 14.61689 14.11774 14.22650 14.71042 14.10258 14.31580 14.68551 14.51374
#> [94,] 15.52257 12.06018 12.75157 16.25868 11.96643 13.34457 16.05975 14.74422
#> [95,] 14.67610 13.49982 13.75124 14.90292 13.46499 13.95971 14.84231 14.42830
#> [96,] 14.03278 13.48024 13.60038 14.13665 13.46351 13.69914 14.10898 13.91835
#> [97,] 13.87722 12.74345 12.98562 14.09606 12.70991 13.18650 14.03758 13.63822
#> [98,] 13.87722 12.74345 12.98562 14.09606 12.70991 13.18650 14.03758 13.63822
#> [99,] 15.57844 13.84852 14.21329 15.91873 13.79821 14.51782 15.82759 15.20912
#> [100,] 13.92609 12.72743 12.98297 14.15810 12.69206 13.19515 14.09608 13.67294
#> [,9] [,10] [,11] [,12] [,13] [,14] [,15] [,16]
#> [1,] 14.79701 14.12067 14.79504 14.96700 15.00150 14.84920 14.69062 14.58413
#> [2,] 14.79701 14.12067 14.79504 14.96700 15.00150 14.84920 14.69062 14.58413
#> [3,] 14.01013 15.84259 14.01502 13.59591 13.51391 13.88112 14.27827 14.55383
#> [4,] 14.01013 15.84259 14.01502 13.59591 13.51391 13.88112 14.27827 14.55383
#> [5,] 14.43146 18.84461 14.44240 13.52130 13.34491 14.14456 15.03773 15.67480
#> [6,] 14.43184 17.80368 14.44045 13.71065 13.56970 14.20558 14.90685 15.40162
#> [7,] 14.43184 17.80368 14.44045 13.71065 13.56970 14.20558 14.90685 15.40162
#> [8,] 14.43184 17.80368 14.44045 13.71065 13.56970 14.20558 14.90685 15.40162
#> [9,] 14.43184 17.80368 14.44045 13.71065 13.56970 14.20558 14.90685 15.40162
#> [10,] 14.07120 15.51697 14.07511 13.73917 13.67320 13.96801 14.28507 14.50400
#> [11,] 13.43132 14.95985 13.43543 13.08248 13.01327 13.32281 13.65646 13.88728
#> [12,] 13.77767 15.53091 13.78236 13.38058 13.30193 13.65403 14.03458 14.29845
#> [13,] 14.06593 14.22681 14.06638 14.02693 14.01908 14.05389 14.09062 14.11556
#> [14,] 14.02573 15.09157 14.02865 13.77714 13.72757 13.94863 14.18507 14.34756
#> [15,] 13.95518 15.30438 13.95884 13.64425 13.58242 13.85859 14.15524 14.35985
#> [16,] 13.74495 16.02071 13.75093 13.24029 13.14083 13.58737 14.07361 14.41295
#> [17,] 13.46807 14.67482 13.47136 13.18884 13.13326 13.38138 13.64751 13.83084
#> [18,] 13.05019 15.19645 13.05584 12.57396 12.48010 12.90150 13.36028 13.68039
#> [19,] 13.05019 15.19645 13.05584 12.57396 12.48010 12.90150 13.36028 13.68039
#> [20,] 15.02192 16.37571 15.02561 14.70876 14.64643 14.92469 15.22318 15.42883
#> [21,] 15.31694 18.77001 15.32579 14.57523 14.43013 15.08438 15.80483 16.31248
#> [22,] 15.31694 18.77001 15.32579 14.57523 14.43013 15.08438 15.80483 16.31248
#> [23,] 14.65831 17.50685 14.66571 14.03634 13.91420 14.46371 15.06534 15.48718
#> [24,] 14.66156 17.85550 14.66978 13.97279 13.83791 14.44571 15.11407 15.58445
#> [25,] 13.52082 17.73240 13.53124 12.65466 12.48690 13.24769 14.09828 14.70549
#> [26,] 13.52082 17.73240 13.53124 12.65466 12.48690 13.24769 14.09828 14.70549
#> [27,] 14.41633 15.28395 14.41873 14.21209 14.17127 14.35307 14.54686 14.67967
#> [28,] 14.98785 16.28657 14.99138 14.68682 14.62687 14.89440 15.18118 15.37864
#> [29,] 13.82851 16.70546 13.83593 13.20488 13.08262 13.63320 14.23755 14.66222
#> [30,] 14.16253 16.32663 14.16825 13.67928 13.58388 14.01178 14.47657 14.80025
#> [31,] 14.55915 16.40717 14.56409 14.14051 14.05759 14.42880 14.82997 15.10813
#> [32,] 14.55915 16.40717 14.56409 14.14051 14.05759 14.42880 14.82997 15.10813
#> [33,] 14.89767 16.14878 14.90108 14.60723 14.54938 14.80753 15.08412 15.27446
#> [34,] 13.66304 17.19756 13.67198 12.91671 12.77128 13.42850 14.15658 14.67224
#> [35,] 13.45289 16.89103 13.46159 12.72576 12.58401 13.22443 13.93350 14.43546
#> [36,] 13.58225 14.17431 13.58390 13.44149 13.41330 13.53870 13.67193 13.76294
#> [37,] 13.86609 13.67272 13.86554 13.91372 13.92334 13.88076 13.83609 13.80591
#> [38,] 14.29967 18.66003 14.31049 13.40002 13.22565 14.01610 14.89887 15.52844
#> [39,] 14.42197 17.73943 14.43045 13.71108 13.57208 14.19900 14.88993 15.37712
#> [40,] 14.55434 17.20682 14.56126 13.97142 13.85678 14.37211 14.93505 15.32898
#> [41,] 13.95739 17.92583 13.96732 13.13020 12.96949 13.69701 14.50660 15.08223
#> [42,] 13.35034 15.58420 13.35621 12.85545 12.75794 13.19579 13.67274 14.00569
#> [43,] 13.68560 16.20447 13.69217 13.13258 13.02385 13.51270 14.04689 14.42082
#> [44,] 14.73483 16.35682 14.73920 14.36389 14.29025 14.61948 14.97408 15.21924
#> [45,] 14.89475 15.11713 14.89537 14.84095 14.83013 14.87814 14.92883 14.96327
#> [46,] 14.66029 16.94912 14.66633 14.15011 14.04944 14.50109 14.99201 15.33408
#> [47,] 14.24250 15.59123 14.24616 13.93133 13.86943 14.14585 14.44265 14.64729
#> [48,] 14.04798 17.19588 14.05606 13.37134 13.23895 13.83584 14.49297 14.95590
#> [49,] 13.94161 16.39351 13.94803 13.40093 13.29450 13.77266 14.29436 14.65906
#> [50,] 13.68445 14.21368 13.68592 13.55826 13.53296 13.64543 13.76477 13.84623
#> [51,] 13.68507 14.21430 13.68654 13.55887 13.53358 13.64604 13.76539 13.84685
#> [52,] 14.14808 14.18307 14.14818 14.13955 14.13783 14.14545 14.15347 14.15891
#> [53,] 14.14808 14.18307 14.14818 14.13955 14.13783 14.14545 14.15347 14.15891
#> [54,] 13.84973 13.89462 13.84985 13.83879 13.83658 13.84635 13.85664 13.86362
#> [55,] 13.84973 13.89462 13.84985 13.83879 13.83658 13.84635 13.85664 13.86362
#> [56,] 14.30817 18.19431 14.31794 13.49293 13.33431 14.05176 14.84836 15.41367
#> [57,] 13.66215 13.96406 13.66300 13.58944 13.57483 13.63970 13.70829 13.75496
#> [58,] 13.89429 16.08239 13.90007 13.40693 13.31079 13.74221 14.21126 14.53816
#> [59,] 13.89203 15.03168 13.89514 13.62716 13.57439 13.80984 14.06199 14.23547
#> [60,] 14.11725 14.09166 14.11718 14.12351 14.12477 14.11918 14.11330 14.10932
#> [61,] 13.70527 16.26149 13.71193 13.14479 13.03462 13.53000 14.07158 14.45083
#> [62,] 13.70527 16.26149 13.71193 13.14479 13.03462 13.53000 14.07158 14.45083
#> [63,] 13.70527 16.26149 13.71193 13.14479 13.03462 13.53000 14.07158 14.45083
#> [64,] 14.30077 15.08019 14.30293 14.11668 14.07986 14.24377 14.41830 14.53778
#> [65,] 14.46859 12.94506 14.46401 14.86702 14.94865 14.59025 14.22241 13.97844
#> [66,] 14.46859 12.94506 14.46401 14.86702 14.94865 14.59025 14.22241 13.97844
#> [67,] 15.49987 13.80861 15.49478 15.94333 16.03424 15.63523 15.22611 14.95498
#> [68,] 15.05312 13.40013 15.04815 15.48676 15.57567 15.18548 14.78547 14.52042
#> [69,] 14.19871 12.03229 14.19204 14.78440 14.90535 14.37673 13.84074 13.48896
#> [70,] 14.75004 12.77522 14.74402 15.27687 15.38532 14.91047 14.42664 14.10775
#> [71,] 14.81226 12.63577 14.80557 15.39829 15.51920 14.99048 14.45360 14.10078
#> [72,] 13.83413 14.36789 13.83562 13.70685 13.68134 13.79477 13.91514 13.99730
#> [73,] 14.19587 15.25305 14.19876 13.94908 13.89986 14.11934 14.35401 14.51524
#> [74,] 13.51445 16.52009 13.52217 12.86782 12.74128 13.31174 13.93959 14.38177
#> [75,] 13.53283 15.63788 13.53839 13.06347 12.97085 13.38638 13.83798 14.15262
#> [76,] 14.91575 16.70684 14.92055 14.50844 14.42769 14.78899 15.17892 15.44897
#> [77,] 14.41668 15.05571 14.41846 14.26483 14.23441 14.36970 14.51344 14.61166
#> [78,] 14.73689 15.19609 14.73818 14.62690 14.60483 14.70290 14.80680 14.87762
#> [79,] 14.13933 15.51458 14.14306 13.82251 13.75951 14.04091 14.34321 14.55174
#> [80,] 14.21555 16.90561 14.22255 13.62658 13.51085 14.03134 14.60066 14.99951
#> [81,] 13.67305 21.00385 13.68973 12.31253 12.05513 13.23837 14.60898 15.61750
#> [82,] 13.98642 21.96124 14.00436 12.52751 12.25240 13.51947 14.99439 16.08423
#> [83,] 14.23977 20.90648 14.25532 12.96534 12.72261 13.83412 15.10866 16.03840
#> [84,] 14.23977 20.90648 14.25532 12.96534 12.72261 13.83412 15.10866 16.03840
#> [85,] 13.74996 11.92601 13.74441 14.23612 14.33618 13.89802 13.45145 13.15702
#> [86,] 14.32390 18.50183 14.33432 13.45622 13.28779 14.05064 14.90064 15.50566
#> [87,] 13.71705 17.68425 13.72696 12.89213 12.73195 13.45730 14.26517 14.83998
#> [88,] 13.71705 17.68425 13.72696 12.89213 12.73195 13.45730 14.26517 14.83998
#> [89,] 13.84982 17.26166 13.85849 13.12483 12.98336 13.62217 14.32830 14.82748
#> [90,] 14.16300 13.97410 14.16246 14.20951 14.21890 14.17732 14.13370 14.10422
#> [91,] 14.15642 14.38241 14.15706 14.10179 14.09080 14.13956 14.19104 14.22604
#> [92,] 14.39107 14.94878 14.39262 14.25809 14.23144 14.34995 14.47571 14.56155
#> [93,] 14.39107 14.94878 14.39262 14.25809 14.23144 14.34995 14.47571 14.56155
#> [94,] 13.86265 18.27223 13.87353 12.95870 12.78375 13.57748 14.46591 15.10074
#> [95,] 14.13683 15.49016 14.14050 13.82478 13.76272 14.03990 14.33758 14.54287
#> [96,] 13.78244 14.40182 13.78416 13.63531 13.60584 13.73692 13.87620 13.97138
#> [97,] 13.35720 14.66295 13.36074 13.05647 12.99668 13.26377 13.55074 13.74871
#> [98,] 13.35720 14.66295 13.36074 13.05647 12.99668 13.26377 13.55074 13.74871
#> [99,] 14.77802 16.80959 14.78343 14.32050 14.23000 14.63545 15.07454 15.37954
#> [100,] 13.37560 14.76005 13.37934 13.05779 12.99465 13.27682 13.58034 13.78994
#> [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24]
#> [1,] 14.75294 14.53578 14.99830 14.73891 14.72207 15.05512 14.97191 14.68315
#> [2,] 14.75294 14.53578 14.99830 14.73891 14.72207 15.05512 14.97191 14.68315
#> [3,] 14.12036 14.68136 13.52149 14.15569 14.19828 13.38782 13.58421 14.29738
#> [4,] 14.12036 14.68136 13.52149 14.15569 14.19828 13.38782 13.58421 14.29738
#> [5,] 14.67906 15.97446 13.36117 14.75889 14.85547 13.07612 13.49605 15.08144
#> [6,] 14.62634 15.63286 13.58271 14.68890 14.76449 13.35415 13.69049 14.94094
#> [7,] 14.62634 15.63286 13.58271 14.68890 14.76449 13.35415 13.69049 14.94094
#> [8,] 14.62634 15.63286 13.58271 14.68890 14.76449 13.35415 13.69049 14.94094
#> [9,] 14.62634 15.63286 13.58271 14.68890 14.76449 13.35415 13.69049 14.94094
#> [10,] 14.15922 14.60503 13.67931 14.18740 14.22136 13.57160 13.72976 14.30028
#> [11,] 13.52393 13.99392 13.01967 13.55360 13.58935 12.90675 13.07261 13.67248
#> [12,] 13.88330 14.42053 13.30921 13.91715 13.95795 13.18098 13.36935 14.05288
#> [13,] 14.07613 14.12696 14.01981 14.07939 14.08330 14.00692 14.02581 14.09236
#> [14,] 14.09138 14.42234 13.73216 14.11237 14.13766 13.65111 13.77007 14.19637
#> [15,] 14.03754 14.45422 13.58815 14.06390 14.09566 13.48717 13.63543 14.16946
#> [16,] 13.87987 14.57053 13.15002 13.92317 13.97541 12.98819 13.22609 14.09709
#> [17,] 13.54196 13.91533 13.13841 13.56560 13.59409 13.04760 13.18091 13.66025
#> [18,] 13.17750 13.82903 12.48877 13.21834 13.26763 12.33602 12.56056 13.38243
#> [19,] 13.17750 13.82903 12.48877 13.21834 13.26763 12.33602 12.56056 13.38243
#> [20,] 15.10480 15.52361 14.65220 15.13132 15.16326 14.55037 14.69987 15.23748
#> [21,] 15.51678 16.54956 14.44352 15.58103 15.65866 14.20813 14.55448 15.83982
#> [22,] 15.51678 16.54956 14.44352 15.58103 15.65866 14.20813 14.55448 15.83982
#> [23,] 14.82522 15.68362 13.92548 14.87884 14.94356 13.72704 14.01889 15.09447
#> [24,] 14.84696 15.80398 13.85037 14.90656 14.97854 13.63149 13.95350 15.14651
#> [25,] 13.75661 14.99124 12.50237 13.83265 13.92464 12.23134 12.63064 14.13993
#> [26,] 13.75661 14.99124 12.50237 13.83265 13.92464 12.23134 12.63064 14.13993
#> [27,] 14.47015 14.74069 14.17505 14.48735 14.50806 14.10826 14.20627 14.55611
#> [28,] 15.06747 15.46961 14.63242 15.09294 15.12363 14.53447 14.67827 15.19491
#> [29,] 13.99616 14.86023 13.09392 14.05003 14.11509 12.89541 13.18741 14.26685
#> [30,] 14.29152 14.95038 13.59270 14.33289 14.38279 13.43738 13.66566 14.49898
#> [31,] 14.67050 15.23682 14.06526 14.70618 14.74920 13.93007 14.12868 14.84926
#> [32,] 14.67050 15.23682 14.06526 14.70618 14.74920 13.93007 14.12868 14.84926
#> [33,] 14.97447 15.36213 14.55473 14.99903 15.02863 14.46018 14.59898 15.09735
#> [34,] 13.86495 14.91380 12.78470 13.92994 14.00850 12.54916 12.89591 14.19206
#> [35,] 13.64953 14.67053 12.59709 13.71282 13.78932 12.36749 12.70548 13.96804
#> [36,] 13.61925 13.80468 13.41591 13.63107 13.64529 13.36972 13.43747 13.67827
#> [37,] 13.85368 13.79215 13.92245 13.84973 13.84497 13.93826 13.91509 13.83398
#> [38,] 14.54439 15.82455 13.24172 14.62329 14.71874 12.95992 13.37505 14.94207
#> [39,] 14.61361 15.60474 13.58492 14.67524 14.74970 13.35948 13.69121 14.92350
#> [40,] 14.71053 15.51221 13.86737 14.76068 14.82121 13.68099 13.95504 14.96227
#> [41,] 14.18187 15.35248 12.98431 14.25419 14.34164 12.72434 13.10720 14.54614
#> [42,] 13.48269 14.16033 12.76695 13.52516 13.57640 12.60830 12.84152 13.69577
#> [43,] 13.83381 14.59477 13.03389 13.88140 13.93885 12.85713 13.11705 14.07273
#> [44,] 14.83327 15.33246 14.29707 14.86479 14.90278 14.17690 14.35338 14.99110
#> [45,] 14.90883 14.97902 14.83113 14.91332 14.91872 14.81338 14.83941 14.93124
#> [46,] 14.79652 15.49278 14.05875 14.84022 14.89294 13.89486 14.13573 15.01569
#> [47,] 14.32490 14.74165 13.87516 14.35127 14.38305 13.77406 13.92250 14.45687
#> [48,] 14.23026 15.17207 13.25117 14.28886 14.35966 13.03638 13.35241 14.52488
#> [49,] 14.08637 14.82859 13.30434 14.13284 14.18891 13.13127 13.38572 14.31958
#> [50,] 13.71760 13.88357 13.53530 13.72818 13.74092 13.49386 13.55465 13.77045
#> [51,] 13.71821 13.88419 13.53592 13.72880 13.74154 13.49448 13.55527 13.77107
#> [52,] 14.15031 14.16139 14.13799 14.15102 14.15187 14.13517 14.13931 14.15385
#> [53,] 14.15031 14.16139 14.13799 14.15102 14.15187 14.13517 14.13931 14.15385
#> [54,] 13.85258 13.86680 13.83679 13.85350 13.85459 13.83317 13.83847 13.85713
#> [55,] 13.85258 13.86680 13.83679 13.85350 13.85459 13.83317 13.83847 13.85713
#> [56,] 14.52905 15.67878 13.34895 14.60019 14.68619 13.09221 13.47024 14.88722
#> [57,] 13.68121 13.77632 13.57618 13.68729 13.69460 13.55222 13.58736 13.71155
#> [58,] 14.02446 14.68985 13.31967 14.06621 14.11659 13.16316 13.39320 14.23388
#> [59,] 13.96204 14.31535 13.57927 13.98443 14.01141 13.49301 13.61964 14.07406
#> [60,] 14.11562 14.10750 14.12465 14.11510 14.11447 14.12672 14.12369 14.11302
#> [61,] 13.85553 14.62731 13.04480 13.90378 13.96203 12.86573 13.12905 14.09779
#> [62,] 13.85553 14.62731 13.04480 13.90378 13.96203 12.86573 13.12905 14.09779
#> [63,] 13.85553 14.62731 13.04480 13.90378 13.96203 12.86573 13.12905 14.09779
#> [64,] 14.34924 14.59264 14.08327 14.36473 14.38337 14.02299 14.11143 14.42663
#> [65,] 14.36631 13.86849 14.94106 14.33385 14.29492 15.07603 14.87862 14.20521
#> [66,] 14.36631 13.86849 14.94106 14.33385 14.29492 15.07603 14.87862 14.20521
#> [67,] 15.38611 14.83285 16.02579 15.35001 15.30672 16.17615 15.95624 15.20698
#> [68,] 14.94189 14.40104 15.56740 14.90661 14.86428 15.71445 15.49939 14.76677
#> [69,] 14.04962 13.33138 14.89409 14.00242 13.94587 15.09473 14.80156 13.81584
#> [70,] 14.61548 13.96455 15.37523 14.57284 14.52172 15.55489 15.29226 14.40410
#> [71,] 14.66293 13.94262 15.50795 14.61564 14.55897 15.70843 15.41545 14.42864
#> [72,] 13.86756 14.03496 13.68370 13.87824 13.89109 13.64190 13.70322 13.92087
#> [73,] 14.26103 14.58943 13.90442 14.28187 14.30696 13.82393 13.94207 14.36523
#> [74,] 13.68861 14.58822 12.75296 13.74460 13.81223 12.54764 12.84973 13.97007
#> [75,] 13.65815 14.29859 12.97941 13.69835 13.74685 12.82862 13.05024 13.85976
#> [76,] 15.02398 15.57381 14.43516 15.05865 15.10045 14.30346 14.49692 15.19766
#> [77,] 14.45660 14.65671 14.23723 14.46935 14.48470 14.18741 14.26049 14.52029
#> [78,] 14.76575 14.91006 14.60688 14.77497 14.78605 14.57070 14.62376 14.81175
#> [79,] 14.22326 14.64792 13.76534 14.25012 14.28249 13.66246 13.81352 14.35770
#> [80,] 14.37350 15.18515 13.52154 14.42423 14.48546 13.33346 13.61005 14.62821
#> [81,] 14.05245 16.10065 12.07878 14.17561 14.32515 11.66688 12.27555 14.67735
#> [82,] 14.39461 16.60763 12.27766 14.52724 14.68835 11.83800 12.48797 15.06816
#> [83,] 14.59273 16.48155 12.74493 14.70709 14.84580 12.35542 12.93050 15.17190
#> [84,] 14.59273 16.48155 12.74493 14.70709 14.84580 12.35542 12.93050 15.17190
#> [85,] 13.62576 13.02480 14.32687 13.58640 13.53922 14.49261 14.25032 13.43064
#> [86,] 14.55956 15.78989 13.30332 14.63551 14.72736 13.03095 13.43211 14.94219
#> [87,] 13.94104 15.10997 12.74672 14.01321 14.10050 12.48768 12.86920 14.30464
#> [88,] 13.94104 15.10997 12.74672 14.01321 14.10050 12.48768 12.86920 14.30464
#> [89,] 14.04565 15.06104 12.99641 14.10867 14.18482 12.76714 13.10460 14.36267
#> [90,] 14.15088 14.09078 14.21803 14.14702 14.14237 14.23347 14.21084 14.13163
#> [91,] 14.17072 14.24204 14.09182 14.17529 14.18078 14.07379 14.10022 14.19349
#> [92,] 14.42600 14.60090 14.23391 14.43715 14.45058 14.19023 14.25429 14.48170
#> [93,] 14.42600 14.60090 14.23391 14.43715 14.45058 14.19023 14.25429 14.48170
#> [94,] 14.10892 15.39966 12.79988 14.18835 14.28446 12.51732 12.93365 14.50944
#> [95,] 14.21947 14.63753 13.76846 14.24592 14.27779 13.66710 13.81593 14.35184
#> [96,] 13.82112 14.01504 13.60857 13.83348 13.84835 13.56031 13.63111 13.88284
#> [97,] 13.43687 13.84002 13.00221 13.46237 13.49310 12.90457 13.04795 13.56449
#> [98,] 13.43687 13.84002 13.00221 13.46237 13.49310 12.90457 13.04795 13.56449
#> [99,] 14.89989 15.52079 14.23837 14.93895 14.98606 14.09091 14.30758 15.09568
#> [100,] 13.45986 13.88667 13.00049 13.48683 13.51934 12.89741 13.04878 13.59489
#> [,25] [,26] [,27] [,28] [,29] [,30] [,31] [,32]
#> [1,] 15.04263 14.80589 15.26393 15.05167 14.57526 14.86263 14.63806 15.02220
#> [2,] 15.04263 14.80589 15.26393 15.05167 14.57526 14.86263 14.63806 15.02220
#> [3,] 13.41706 13.98806 12.91199 13.39588 14.57710 13.84819 14.41338 13.46505
#> [4,] 13.41706 13.98806 12.91199 13.39588 14.57710 13.84819 14.41338 13.46505
#> [5,] 13.13819 14.38217 12.08825 13.09322 15.72925 14.07183 15.34831 13.24041
#> [6,] 13.40401 14.39304 12.55363 13.36789 15.44370 14.14807 15.14860 13.48601
#> [7,] 13.40401 14.39304 12.55363 13.36789 15.44370 14.14807 15.14860 13.48601
#> [8,] 13.40401 14.39304 12.55363 13.36789 15.44370 14.14807 15.14860 13.48601
#> [9,] 13.40401 14.39304 12.55363 13.36789 15.44370 14.14807 15.14860 13.48601
#> [10,] 13.59518 14.05357 13.18638 13.57810 14.52244 13.94164 14.39252 13.63385
#> [11,] 12.93146 13.41277 12.50362 12.91356 13.90674 13.29510 13.76970 12.97201
#> [12,] 13.20903 13.75653 12.72424 13.18871 14.32073 13.62247 14.16397 13.25506
#> [13,] 14.00975 14.06388 13.96011 14.00771 14.11765 14.05081 14.10290 14.01438
#> [14,] 13.66886 14.01256 13.35989 13.65600 14.36122 13.92890 14.26490 13.69798
#> [15,] 13.50928 13.93868 13.12564 13.49326 14.37709 13.83390 14.25568 13.54554
#> [16,] 13.02355 13.71797 12.41535 12.99794 14.44167 13.54721 14.23979 13.08164
#> [17,] 13.06748 13.45326 12.72210 13.05308 13.84628 13.35921 13.73753 13.10010
#> [18,] 12.36940 13.02474 11.79525 12.34523 13.70749 12.86361 13.51705 12.42423
#> [19,] 12.36940 13.02474 11.79525 12.34523 13.70749 12.86361 13.51705 12.42423
#> [20,] 14.57267 15.00531 14.18538 14.55652 15.44614 14.89983 15.32416 14.60924
#> [21,] 14.25949 15.27707 13.38267 14.22228 16.35563 15.02524 16.05294 14.34394
#> [22,] 14.25949 15.27707 13.38267 14.22228 16.35563 15.02524 16.05294 14.34394
#> [23,] 13.77037 14.62497 13.02778 13.73898 15.52297 14.41417 15.27173 13.84158
#> [24,] 13.67925 14.62456 12.86306 13.64465 15.62442 14.39081 15.34403 13.75779
#> [25,] 12.29034 13.47389 11.29283 12.24759 14.75740 13.17847 14.39425 12.38753
#> [26,] 12.29034 13.47389 11.29283 12.24759 14.75740 13.17847 14.39425 12.38753
#> [27,] 14.12290 14.40553 13.86759 14.11229 14.69082 14.33687 14.61215 14.14689
#> [28,] 14.55592 14.97188 14.18319 14.54039 15.39526 14.87051 15.27815 14.59110
#> [29,] 12.93874 13.79503 12.19745 12.90735 14.69828 13.58351 14.44522 13.00997
#> [30,] 13.47133 14.13673 12.88644 13.44674 14.82763 13.97334 14.63515 13.52709
#> [31,] 13.95964 14.53686 13.44850 13.93822 15.13162 14.39553 14.96638 14.00818
#> [32,] 13.95964 14.53686 13.44850 13.93822 15.13162 14.39553 14.96638 14.00818
#> [33,] 14.48089 14.88228 14.12092 14.46589 15.29048 14.78448 15.17760 14.51485
#> [34,] 12.60050 13.62280 11.72728 12.56331 14.71618 13.36895 14.40834 12.68500
#> [35,] 12.41755 13.41369 11.56596 12.38128 14.47822 13.16641 14.17859 12.49991
#> [36,] 13.37985 13.57482 13.20282 13.37252 13.77058 13.52755 13.71669 13.39644
#> [37,] 13.93479 13.86859 13.99601 13.93730 13.80339 13.88452 13.82121 13.92910
#> [38,] 13.02128 14.25095 11.98319 12.97682 15.58224 13.94421 15.20580 13.12233
#> [39,] 13.40866 14.38373 12.56949 13.37303 15.41855 14.14231 15.12800 13.48954
#> [40,] 13.72170 14.52313 13.02301 13.69221 15.36237 14.32570 15.12785 13.78859
#> [41,] 12.78097 13.91268 11.82062 12.73994 15.13136 13.63095 14.78741 12.87421
#> [42,] 12.64296 13.32388 12.04687 12.61785 14.03388 13.15641 13.83578 12.69991
#> [43,] 12.89574 13.65598 12.23327 12.86777 14.45251 13.46866 14.22989 12.95917
#> [44,] 14.20320 14.71511 13.74766 14.18415 15.23991 14.59001 15.09437 14.24635
#> [45,] 14.81728 14.89192 14.74889 14.81446 14.96616 14.87388 14.94579 14.82366
#> [46,] 13.93068 14.63304 13.31389 13.90474 15.36301 14.46051 15.15958 13.98951
#> [47,] 13.79620 14.22599 13.41200 13.78017 14.66452 14.12114 14.54311 13.83251
#> [48,] 13.08324 14.01161 12.28300 13.04929 14.99525 13.78190 14.71923 13.16031
#> [49,] 13.16908 13.91268 12.51965 13.14169 14.68996 13.72962 14.47290 13.23119
#> [50,] 13.50295 13.67779 13.34395 13.49636 13.85306 13.63543 13.80485 13.51784
#> [51,] 13.50357 13.67841 13.34457 13.49698 13.85368 13.63604 13.80546 13.51846
#> [52,] 14.13579 14.14763 14.12490 14.13534 14.15936 14.14478 14.15615 14.13680
#> [53,] 14.13579 14.14763 14.12490 14.13534 14.15936 14.14478 14.15615 14.13680
#> [54,] 13.83396 13.84915 13.81999 13.83339 13.86420 13.84549 13.86008 13.83526
#> [55,] 13.83396 13.84915 13.81999 13.83339 13.86420 13.84549 13.86008 13.83526
#> [56,] 13.14815 14.26415 12.19805 13.10762 15.46187 13.98668 15.12425 13.24024
#> [57,] 13.55748 13.65833 13.46529 13.55367 13.75887 13.63394 13.73127 13.56609
#> [58,] 13.19737 13.86826 12.60843 13.17259 14.56582 13.70343 14.37139 13.25355
#> [59,] 13.51191 13.87799 13.18341 13.49822 14.25006 13.78882 14.14720 13.54289
#> [60,] 14.12627 14.11758 14.13427 14.12660 14.10899 14.11967 14.11134 14.12552
#> [61,] 12.90484 13.67525 12.23398 12.87651 14.48299 13.48537 14.25718 12.96910
#> [62,] 12.90484 13.67525 12.23398 12.87651 14.48299 13.48537 14.25718 12.96910
#> [63,] 12.90484 13.67525 12.23398 12.87651 14.48299 13.48537 14.25718 12.96910
#> [64,] 14.03620 14.29104 13.80560 14.02663 14.54781 14.22917 14.47705 14.05786
#> [65,] 15.04629 14.48924 15.57807 15.06782 13.95824 14.62165 14.10168 14.99774
#> [66,] 15.04629 14.48924 15.57807 15.06782 13.95824 14.62165 14.10168 14.99774
#> [67,] 16.14301 15.52285 16.73586 16.16700 14.93254 15.67017 15.09191 16.08893
#> [68,] 15.68204 15.07559 16.26193 15.70550 14.49849 15.21964 14.65428 15.62915
#> [69,] 15.05044 14.22889 15.84871 15.08250 13.45996 14.42279 13.66629 14.97824
#> [70,] 15.51526 14.77725 16.22728 15.54395 14.08142 14.95193 14.26863 15.45062
#> [71,] 15.66419 14.84247 16.46088 15.69621 14.07168 15.03658 14.27868 15.59205
#> [72,] 13.65106 13.82742 13.49069 13.64442 14.00419 13.78469 13.95556 13.66608
#> [73,] 13.84156 14.18280 13.53466 13.82879 14.52880 14.09975 14.43322 13.87047
#> [74,] 12.59244 13.47970 11.82729 12.55998 14.41935 13.26020 14.15572 12.66610
#> [75,] 12.86158 13.50776 12.29403 12.83771 14.17924 13.34904 13.99212 12.91571
#> [76,] 14.33228 14.89407 13.83380 14.31141 15.47176 14.75662 15.31138 14.37956
#> [77,] 14.19833 14.40866 14.00740 14.19042 14.61990 14.35766 14.56175 14.21623
#> [78,] 14.57863 14.73110 14.43966 14.57289 14.88356 14.69419 14.84165 14.59163
#> [79,] 13.68498 14.12251 13.29416 13.66867 14.56930 14.01575 14.44557 13.72193
#> [80,] 13.37453 14.18399 12.67020 13.34478 15.03333 13.98443 14.79582 13.44203
#> [81,] 11.75610 13.59799 10.28174 11.69143 15.70487 13.12903 15.09746 11.90361
#> [82,] 11.93317 13.90573 10.36545 11.86418 16.17882 13.40213 15.52179 12.09059
#> [83,] 12.43992 14.16983 11.03459 12.37868 16.11865 13.73186 15.55980 12.57946
#> [84,] 12.43992 14.16983 11.03459 12.37868 16.11865 13.73186 15.55980 12.57946
#> [85,] 14.45606 13.77508 15.11274 14.48252 13.13271 13.93629 13.30557 14.39642
#> [86,] 13.09028 14.27697 12.08513 13.04730 15.55732 13.98133 15.19572 13.18796
#> [87,] 12.54410 13.67244 11.58779 12.50322 14.88905 13.39141 14.54554 12.63701
#> [88,] 12.54410 13.67244 11.58779 12.50322 14.88905 13.39141 14.54554 12.63701
#> [89,] 12.81713 13.81077 11.96566 12.78091 14.86997 13.56434 14.57211 12.89938
#> [90,] 14.23008 14.16544 14.28985 14.23253 14.10176 14.18100 14.11916 14.22453
#> [91,] 14.07775 14.15355 14.00832 14.07488 14.22897 14.13523 14.20827 14.08423
#> [92,] 14.19981 14.38405 14.03227 14.19287 14.56875 14.33941 14.51794 14.21550
#> [93,] 14.19981 14.38405 14.03227 14.19287 14.56875 14.33941 14.51794 14.21550
#> [94,] 12.57882 13.81364 11.53979 12.53426 15.15504 13.50523 14.77528 12.68014
#> [95,] 13.68929 14.12027 13.30415 13.67322 14.56015 14.01512 14.43836 13.72569
#> [96,] 13.57089 13.77467 13.38594 13.56322 13.97937 13.72526 13.92302 13.58823
#> [97,] 12.92595 13.34124 12.55504 12.91046 13.76538 13.23989 13.64792 12.96101
#> [98,] 12.92595 13.34124 12.55504 12.91046 13.76538 13.23989 13.64792 12.96101
#> [99,] 14.12316 14.75363 13.56655 14.09980 15.40531 14.59908 15.22405 14.17610
#> [100,] 12.91998 13.35872 12.52879 12.90363 13.80760 13.25158 13.68320 12.95699
#> [,33] [,34] [,35] [,36] [,37] [,38] [,39] [,40]
#> [1,] 14.51772 14.19068 15.09472 14.28110 14.88394 15.03496 14.22590 15.15655
#> [2,] 14.51772 14.19068 15.09472 14.28110 14.88394 15.03496 14.22590 15.15655
#> [3,] 14.72940 15.63808 13.29575 15.37928 13.79617 13.43504 15.53657 13.15372
#> [4,] 14.72940 15.63808 13.29575 15.37928 13.79617 13.43504 15.53657 13.15372
#> [5,] 16.08814 18.32056 12.88171 17.66881 13.95734 13.17642 18.06341 12.58487
#> [6,] 15.72034 17.41289 13.19766 16.92354 14.05741 13.43470 17.22026 12.95774
#> [7,] 15.72034 17.41289 13.19766 16.92354 14.05741 13.43470 17.22026 12.95774
#> [8,] 15.72034 17.41289 13.19766 16.92354 14.05741 13.43470 17.22026 12.95774
#> [9,] 15.72034 17.41289 13.19766 16.92354 14.05741 13.43470 17.22026 12.95774
#> [10,] 14.64304 15.35738 13.49728 15.15482 13.89995 13.60967 15.27801 13.38243
#> [11,] 14.03406 14.79038 12.82889 14.57554 13.25129 12.94665 14.70617 12.70864
#> [12,] 14.46651 15.33551 13.09263 15.08815 13.57260 13.22627 15.23850 12.95632
#> [13,] 14.13123 14.20971 13.99798 14.18779 14.04592 14.01149 14.20116 13.98408
#> [14,] 14.45044 14.97519 13.59509 14.82702 13.89770 13.67977 14.91719 13.50836
#> [15,] 14.48971 15.15581 13.41747 14.96711 13.79487 13.52286 15.08189 13.30971
#> [16,] 14.62998 15.76335 12.87695 15.43886 13.48381 13.04531 15.63591 12.70572
#> [17,] 13.94711 14.54231 12.98489 14.37388 13.32416 13.07970 14.47635 12.88790
#> [18,] 13.88510 14.95383 12.23102 14.64790 12.80378 12.38993 14.83369 12.06939
#> [19,] 13.88510 14.95383 12.23102 14.64790 12.80378 12.38993 14.83369 12.06939
#> [20,] 15.55925 16.22703 14.48005 16.03805 14.86052 14.58637 16.15302 14.37129
#> [21,] 16.63922 18.37096 14.04689 17.87085 14.93201 14.29110 18.17415 13.79957
#> [22,] 16.63922 18.37096 14.04689 17.87085 14.93201 14.29110 18.17415 13.79957
#> [23,] 15.75781 17.18129 13.59086 16.77202 14.33600 13.79703 17.02040 13.38161
#> [24,] 15.88697 17.48738 13.48150 17.02569 14.30423 13.70865 17.30574 13.25134
#> [25,] 15.09967 17.23136 12.04655 16.60855 13.06951 12.32670 16.98558 11.76449
#> [26,] 15.09967 17.23136 12.04655 16.60855 13.06951 12.32670 16.98558 11.76449
#> [27,] 14.76360 15.18983 14.06204 15.06979 14.31124 14.13189 15.14287 13.99042
#> [28,] 15.50382 16.14414 14.46682 15.96302 14.83272 14.56910 16.07322 14.36216
#> [29,] 14.93506 16.37503 12.75930 15.96020 13.50513 12.96540 16.21188 12.55033
#> [30,] 15.00699 16.08306 13.33053 15.77556 13.91263 13.49221 15.96236 13.16593
#> [31,] 15.28528 16.20123 13.83693 15.94052 14.34295 13.97782 16.09898 13.69321
#> [32,] 15.28528 16.20123 13.83693 15.94052 14.34295 13.97782 16.09898 13.69321
#> [33,] 15.39509 16.01172 14.39486 15.83738 14.74802 14.49361 15.94346 14.29379
#> [34,] 15.00527 16.78437 12.38811 16.26822 13.27510 12.63212 16.58103 12.14157
#> [35,] 14.75953 16.48954 12.21048 15.98784 13.07498 12.44837 16.29191 11.97006
#> [36,] 13.82035 14.11053 13.33773 14.02903 13.50989 13.38607 14.07867 13.28810
#> [37,] 13.78701 13.69303 13.94925 13.71916 13.89050 13.93266 13.70322 13.96638
#> [38,] 15.93688 18.14239 12.76771 17.49857 13.83104 13.05908 17.88837 12.47423
#> [39,] 15.69084 17.35543 13.20510 16.87441 14.05295 13.43893 17.16611 12.96837
#> [40,] 15.58138 16.90501 13.55301 16.52511 14.25245 13.74675 16.75573 13.35620
#> [41,] 15.45492 17.45790 12.54683 16.87479 13.52691 12.81586 17.22799 12.27549
#> [42,] 14.21868 15.33141 12.49925 15.01275 13.09423 12.66429 15.20626 12.33142
#> [43,] 14.66045 15.91767 12.73576 15.55674 13.39917 12.91949 15.77583 12.54914
#> [44,] 15.37508 16.17726 14.09403 15.94952 14.54344 14.21936 16.08800 13.96601
#> [45,] 14.98492 15.09346 14.80106 15.06313 14.86714 14.81967 15.08162 14.78191
#> [46,] 15.55263 16.69120 13.78215 16.36568 14.39642 13.95271 16.56340 13.60856
#> [47,] 14.77714 15.44283 13.70428 15.25430 14.08208 13.80980 15.36899 13.59636
#> [48,] 15.25382 16.83227 12.88924 16.37652 13.69684 13.11209 16.65293 12.66353
#> [49,] 14.89257 16.11517 13.01237 15.76460 13.66169 13.19233 15.97745 12.82948
#> [50,] 13.89758 14.15679 13.46514 14.08405 13.61959 13.50853 14.12836 13.42057
#> [51,] 13.89820 14.15741 13.46576 14.08467 13.62021 13.50915 14.12897 13.42119
#> [52,] 14.16232 14.17936 14.13321 14.17461 14.14371 14.13617 14.17751 14.13016
#> [53,] 14.16232 14.17936 14.13321 14.17461 14.14371 14.13617 14.17751 14.13016
#> [54,] 13.86799 13.88987 13.83065 13.88377 13.84412 13.83445 13.88749 13.82674
#> [55,] 13.86799 13.88987 13.83065 13.88377 13.84412 13.83445 13.88749 13.82674
#> [56,] 15.77922 17.73803 12.91678 17.16875 13.88415 13.18261 17.51366 12.64843
#> [57,] 13.78432 13.93184 13.53560 13.89056 13.62482 13.56071 13.91571 13.50978
#> [58,] 14.74705 15.83569 13.05553 15.52438 13.64221 13.21841 15.71347 12.88976
#> [59,] 14.34538 14.90692 13.43342 14.74821 13.75557 13.52352 14.84478 13.34120
#> [60,] 14.10682 14.09437 14.12816 14.09784 14.12046 14.12599 14.09572 14.13040
#> [61,] 14.69394 15.97017 12.74279 15.60365 13.41494 12.92890 15.82613 12.55380
#> [62,] 14.69394 15.97017 12.74279 15.60365 13.41494 12.92890 15.82613 12.55380
#> [63,] 14.69394 15.97017 12.74279 15.60365 13.41494 12.92890 15.82613 12.55380
#> [64,] 14.61324 14.99583 13.98127 14.88818 14.20607 14.04432 14.95373 13.91659
#> [65,] 13.82754 13.09821 15.17050 13.29756 14.67154 15.02807 13.17565 15.31871
#> [66,] 13.82754 13.09821 15.17050 13.29756 14.67154 15.02807 13.17565 15.31871
#> [67,] 14.78737 13.97829 16.28141 14.19927 15.72570 16.12271 14.06411 16.44661
#> [68,] 14.35659 13.56590 15.81741 13.78184 15.27395 15.66219 13.64976 15.97899
#> [69,] 13.27286 12.24470 15.23568 12.52303 14.49608 15.02333 12.35258 15.45768
#> [70,] 13.91131 12.97080 15.68092 13.22640 15.01788 15.49099 13.06995 15.87910
#> [71,] 13.88386 12.84982 15.84921 13.13008 15.10993 15.63710 12.95847 16.07083
#> [72,] 14.04909 14.31052 13.61293 14.23715 13.76872 13.65669 14.28184 13.56798
#> [73,] 14.61730 15.13768 13.76830 14.99078 14.06878 13.85240 15.08018 13.68216
#> [74,] 14.66628 16.17312 12.40697 15.73815 13.17891 12.62001 16.00196 12.19117
#> [75,] 14.35364 15.40071 12.72492 15.10138 13.29008 12.88185 15.28320 12.56518
#> [76,] 15.62082 16.50778 14.21269 16.25558 14.70548 14.34999 16.40890 14.07256
#> [77,] 14.67361 14.98684 14.15290 14.89886 14.33861 14.20504 14.95245 14.09937
#> [78,] 14.92222 15.14689 14.54562 15.08392 14.68039 14.58351 15.12228 14.50667
#> [79,] 14.68410 15.36311 13.59145 15.17073 13.97597 13.69883 15.28774 13.48167
#> [80,] 15.25525 16.59873 13.20436 16.21275 13.91042 13.39980 16.44702 13.00591
#> [81,] 16.28539 20.07208 11.38906 18.93574 12.95760 11.81120 19.62074 10.96980
#> [82,] 16.80798 20.93845 11.54190 19.69437 13.21825 11.99195 20.44387 11.09574
#> [83,] 16.65062 20.07485 12.09190 19.05506 13.57135 12.49206 19.67055 11.69291
#> [84,] 16.65062 20.07485 12.09190 19.05506 13.57135 12.49206 19.67055 11.69291
#> [85,] 12.97563 12.10677 14.60887 12.34296 13.99715 14.43367 12.19840 14.79166
#> [86,] 15.89766 18.00801 12.84505 17.39304 13.87220 13.12682 17.76547 12.56099
#> [87,] 15.21232 17.21571 12.31084 16.63210 13.28766 12.57886 16.98556 12.04060
#> [88,] 15.21232 17.21571 12.31084 16.63210 13.28766 12.57886 16.98556 12.04060
#> [89,] 15.14945 16.86450 12.61027 16.36777 13.47319 12.84791 16.66888 12.36995
#> [90,] 14.08575 13.99394 14.24420 14.01948 14.18683 14.22799 14.00390 14.26092
#> [91,] 14.24803 14.35835 14.06128 14.32751 14.12838 14.08018 14.34631 14.04184
#> [92,] 14.61566 14.88882 14.15997 14.81217 14.32273 14.20569 14.85886 14.11301
#> [93,] 14.61566 14.88882 14.15997 14.81217 14.32273 14.20569 14.85886 14.11301
#> [94,] 15.51311 17.74652 12.32473 17.09343 13.39151 12.61672 17.48874 12.03088
#> [95,] 14.67314 15.34120 13.59713 15.15197 13.97595 13.70293 15.26707 13.48895
#> [96,] 14.03142 14.33505 13.52688 14.24976 13.70679 13.57739 14.30171 13.47502
#> [97,] 13.87437 14.51911 12.83717 14.33642 13.20214 12.93908 14.44754 12.73299
#> [98,] 13.87437 14.51911 12.83717 14.33642 13.20214 12.93908 14.44754 12.73299
#> [99,] 15.57401 16.58227 13.98938 16.29482 14.54161 14.14298 16.46950 13.83282
#> [100,] 13.92307 14.60718 12.82629 14.41316 13.21168 12.93384 14.53116 12.71639
#>
#> $denominator
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7]
#> [1,] 7.746962 7.093254 7.232722 7.873355 7.073945 7.348474 7.839572
#> [2,] 7.746962 7.093254 7.232722 7.873355 7.073945 7.348474 7.839572
#> [3,] 7.737773 6.893403 7.071597 7.903661 6.868817 7.220304 7.859240
#> [4,] 7.737773 6.893403 7.071597 7.903661 6.868817 7.220304 7.859240
#> [5,] 8.126991 6.178441 6.564080 8.546430 6.126293 6.896286 8.432916
#> [6,] 8.296111 6.150974 6.571158 8.764494 6.094335 6.934941 8.637521
#> [7,] 8.296111 6.150974 6.571158 8.764494 6.094335 6.934941 8.637521
#> [8,] 8.296111 6.150974 6.571158 8.764494 6.094335 6.934941 8.637521
#> [9,] 8.296111 6.150974 6.571158 8.764494 6.094335 6.934941 8.637521
#> [10,] 6.661447 7.366263 7.204433 6.539585 7.389206 7.075110 6.571745
#> [11,] 8.667830 6.758633 7.140430 9.072900 6.706838 7.467664 8.963459
#> [12,] 8.276781 6.937832 7.213580 8.549296 6.900079 7.446523 8.476024
#> [13,] 7.361277 6.462354 6.650951 7.539398 6.436382 6.808804 7.491654
#> [14,] 7.915079 5.988412 6.368965 8.330948 5.936983 6.697106 8.218363
#> [15,] 8.636239 5.539476 6.110337 9.369761 5.463934 6.619101 9.168990
#> [16,] 8.132197 5.519999 6.013189 8.731687 5.454262 6.447785 8.568216
#> [17,] 8.797718 5.520570 6.119068 9.583485 5.441592 6.654809 9.368102
#> [18,] 9.554322 6.744120 7.283458 10.185219 6.671873 7.755013 10.013631
#> [19,] 9.554322 6.744120 7.283458 10.185219 6.671873 7.755013 10.013631
#> [20,] 6.547311 7.160895 7.020603 6.440522 7.180757 6.908244 6.468726
#> [21,] 7.130317 7.702773 7.572503 7.029946 7.721188 7.467911 7.056477
#> [22,] 7.130317 7.702773 7.572503 7.029946 7.721188 7.467911 7.056477
#> [23,] 7.505478 8.530487 8.292669 7.331153 8.564320 8.103665 7.377073
#> [24,] 7.882146 9.118331 8.829591 7.674135 9.159499 8.600929 7.728863
#> [25,] 7.786029 7.019656 7.182161 7.935549 6.997202 7.317450 7.895543
#> [26,] 7.786029 7.019656 7.182161 7.935549 6.997202 7.317450 7.895543
#> [27,] 7.873895 7.526310 7.601737 7.939426 7.515811 7.663801 7.921961
#> [28,] 7.975183 6.026545 6.411245 8.396085 5.974564 6.743042 8.282129
#> [29,] 9.293439 7.335438 7.728954 9.705973 7.281971 8.065408 9.594606
#> [30,] 7.294999 6.028362 6.287720 7.554925 5.992917 6.507443 7.484970
#> [31,] 7.237629 5.712738 6.019208 7.558910 5.671098 6.281238 7.472178
#> [32,] 7.237629 5.712738 6.019208 7.558910 5.671098 6.281238 7.472178
#> [33,] 7.528598 5.378948 5.793597 8.007915 5.323317 6.155259 7.877658
#> [34,] 8.654756 8.065653 8.192220 8.767487 8.048091 8.296893 8.737391
#> [35,] 9.038139 8.151227 8.339315 9.211143 8.125236 8.495894 9.164854
#> [36,] 7.900904 7.026775 7.211124 8.072809 7.001345 7.365020 8.026771
#> [37,] 7.456361 6.610421 6.788600 7.623029 6.585853 6.937439 7.578384
#> [38,] 7.751568 7.459141 7.522766 7.806483 7.450277 7.575048 7.791854
#> [39,] 7.543773 7.647758 7.624668 7.524838 7.650996 7.605892 7.529864
#> [40,] 7.445566 7.676805 7.625121 7.403879 7.684069 7.583234 7.414933
#> [41,] 7.407136 7.210200 7.253242 7.443869 7.204195 7.288530 7.434091
#> [42,] 7.278329 7.314957 7.306851 7.271624 7.316093 7.300248 7.273405
#> [43,] 7.438724 6.745208 6.892600 7.573577 6.724828 7.015167 7.537509
#> [44,] 7.985094 6.605809 6.888358 8.267959 6.567190 7.127675 8.191837
#> [45,] 8.185147 6.655948 6.967033 8.501876 6.613520 7.231428 8.416543
#> [46,] 7.682932 6.758394 6.952523 7.865914 6.731654 7.114939 7.816874
#> [47,] 7.141189 6.863056 6.923540 7.193459 6.854631 6.973255 7.179533
#> [48,] 8.553723 5.700653 6.235180 9.215249 5.629573 6.707931 9.034642
#> [49,] 7.413436 7.406505 7.408035 7.414710 7.406291 7.409283 7.414371
#> [50,] 7.543442 7.972007 7.875301 7.467308 7.985640 7.797314 7.487462
#> [51,] 7.622683 6.955516 7.097662 7.751938 6.935845 7.215717 7.717382
#> [52,] 7.846154 5.502667 5.951220 8.374194 5.442631 6.343907 8.230519
#> [53,] 7.846154 5.502667 5.951220 8.374194 5.442631 6.343907 8.230519
#> [54,] 7.812983 6.995685 7.168514 7.973080 6.971824 7.312597 7.930224
#> [55,] 7.812983 6.995685 7.168514 7.973080 6.971824 7.312597 7.930224
#> [56,] 7.688835 7.704902 7.701350 7.685889 7.705399 7.698455 7.686671
#> [57,] 8.199293 6.108996 6.519266 8.654435 6.053659 6.874118 8.531092
#> [58,] 7.400184 7.432722 7.425523 7.394227 7.433731 7.419658 7.395809
#> [59,] 7.602407 7.745108 7.713361 7.576497 7.749563 7.687570 7.583373
#> [60,] 6.821184 7.466295 7.318751 6.708961 7.487187 7.200601 6.738598
#> [61,] 7.631733 7.608473 7.613605 7.636010 7.607755 7.617791 7.634874
#> [62,] 7.631733 7.608473 7.613605 7.636010 7.607755 7.617791 7.634874
#> [63,] 7.631733 7.608473 7.613605 7.636010 7.607755 7.617791 7.634874
#> [64,] 8.282165 7.265492 7.478732 8.483704 7.236129 7.657235 8.429680
#> [65,] 8.554667 7.088472 7.389021 8.855075 7.047384 7.643502 8.774240
#> [66,] 8.554667 7.088472 7.389021 8.855075 7.047384 7.643502 8.774240
#> [67,] 8.401345 7.306017 7.534953 8.619580 7.274527 7.726932 8.561047
#> [68,] 8.724083 7.097579 7.428523 9.060872 7.052440 7.709769 8.970137
#> [69,] 8.135802 6.992025 7.229958 8.365256 6.959347 7.429953 8.303665
#> [70,] 8.194370 6.837405 7.116348 8.471282 6.799237 7.352205 8.396805
#> [71,] 8.960173 7.058991 7.440792 9.361170 7.007128 7.767353 9.252904
#> [72,] 8.834733 6.655953 7.085553 9.306156 6.597927 7.456300 9.178495
#> [73,] 9.054466 6.738112 7.192527 9.559173 6.676830 7.585656 9.422387
#> [74,] 6.830327 7.423797 7.288429 6.726650 7.442947 7.179876 6.754043
#> [75,] 6.835371 6.783710 6.795087 6.844897 6.782119 6.804378 6.842364
#> [76,] 7.709972 6.865771 7.043900 7.875867 6.841196 7.192565 7.831443
#> [77,] 7.297557 6.610396 6.756378 7.431254 6.590213 6.877797 7.395493
#> [78,] 7.482287 6.750313 6.905564 7.625041 6.728859 7.034798 7.586847
#> [79,] 7.697128 6.630879 6.852898 7.910733 6.600377 7.039426 7.853405
#> [80,] 7.593192 6.010685 6.329109 7.926063 5.967405 6.601203 7.836220
#> [81,] 7.810176 7.199175 7.329878 7.927850 7.181065 7.438210 7.896411
#> [82,] 7.381603 7.348693 7.355949 7.387660 7.347678 7.361871 7.386050
#> [83,] 7.508523 7.627009 7.600679 7.486973 7.630703 7.579276 7.492693
#> [84,] 7.508523 7.627009 7.600679 7.486973 7.630703 7.579276 7.492693
#> [85,] 7.747655 6.096396 6.427843 8.096179 6.051379 6.711405 8.002073
#> [86,] 7.381095 7.868771 7.758357 7.294909 7.884354 7.669471 7.317711
#> [87,] 7.518523 7.262406 7.318214 7.566513 7.254628 7.364038 7.553732
#> [88,] 7.518523 7.262406 7.318214 7.566513 7.254628 7.364038 7.553732
#> [89,] 7.699956 6.684415 6.896527 7.902498 6.655246 7.074459 7.848167
#> [90,] 8.120965 7.598643 7.711040 8.220681 7.583039 7.803920 8.194067
#> [91,] 7.575962 8.040676 7.935640 7.493616 8.055491 7.851009 7.515408
#> [92,] 7.298406 7.218395 7.235991 7.313190 7.215935 7.250372 7.309259
#> [93,] 7.298406 7.218395 7.235991 7.313190 7.215935 7.250372 7.309259
#> [94,] 8.364783 7.120486 7.378338 8.615788 7.085115 7.595490 8.548369
#> [95,] 7.844484 7.803742 7.812723 7.851986 7.802486 7.820053 7.849992
#> [96,] 7.153797 6.447113 6.596937 7.291704 6.426412 6.721680 7.254804
#> [97,] 7.210140 6.650358 6.770135 7.317909 6.633760 6.869398 7.289118
#> [98,] 7.210140 6.650358 6.770135 7.317909 6.633760 6.869398 7.289118
#> [99,] 8.161988 7.043971 7.276936 8.385730 7.011958 7.472592 8.325689
#> [100,] 7.286626 6.822728 6.922580 7.375152 6.808864 7.005082 7.351525
#> [,8] [,9] [,10] [,11] [,12] [,13] [,14] [,15]
#> [1,] 7.609000 7.446892 8.201083 7.448933 7.273543 7.239092 7.393022 7.558522
#> [2,] 7.609000 7.446892 8.201083 7.448933 7.273543 7.239092 7.393022 7.558522
#> [3,] 7.557660 7.347315 8.337638 7.349955 7.123957 7.079762 7.277729 7.492010
#> [4,] 7.557660 7.347315 8.337638 7.349955 7.123957 7.079762 7.277729 7.492010
#> [5,] 7.685350 7.187562 9.701941 7.193690 6.679967 6.582075 7.027117 7.527917
#> [6,] 7.805321 7.255228 10.065464 7.261979 6.697874 6.590820 7.078653 7.630983
#> [7,] 7.805321 7.255228 10.065464 7.261979 6.697874 6.590820 7.078653 7.630983
#> [8,] 7.805321 7.255228 10.065464 7.261979 6.697874 6.590820 7.078653 7.630983
#> [9,] 7.805321 7.255228 10.065464 7.261979 6.697874 6.590820 7.078653 7.630983
#> [10,] 6.799415 6.968535 6.242292 6.966356 7.158323 7.197201 7.026493 6.851245
#> [11,] 8.239223 7.753382 10.179621 7.759381 7.254753 7.158194 7.596134 8.085891
#> [12,] 7.984365 7.647495 9.276487 7.651691 7.295307 7.226304 7.537159 7.878689
#> [13,] 7.168430 6.943954 8.007610 6.946766 6.706483 6.659608 6.869872 7.098283
#> [14,] 7.477606 6.985047 9.478430 6.991107 6.483402 6.386732 6.826413 7.321764
#> [15,] 7.888871 7.077886 11.506552 7.087664 6.286045 6.137495 6.823716 7.628750
#> [16,] 7.514665 6.836040 10.445774 6.844279 6.163786 6.036502 6.621354 7.298013
#> [17,] 8.000511 7.139674 11.889098 7.150025 6.303853 6.147613 6.870856 7.723901
#> [18,] 8.899499 8.173572 11.966060 8.182428 7.447239 7.308838 7.942435 8.668495
#> [19,] 8.899499 8.173572 11.966060 8.182428 7.447239 7.308838 7.942435 8.668495
#> [20,] 6.667958 6.815480 6.179078 6.813583 6.980567 7.014325 6.865947 6.713211
#> [21,] 7.243442 7.381383 6.783236 7.379611 7.535261 7.566665 7.428477 7.285800
#> [22,] 7.243442 7.381383 6.783236 7.379611 7.535261 7.566665 7.428477 7.285800
#> [23,] 7.703895 7.948613 6.909608 7.945450 8.225172 8.282075 8.032855 7.778719
#> [24,] 8.119719 8.413892 7.173974 8.410082 8.747848 8.816754 8.515450 8.209528
#> [25,] 7.623311 7.432773 8.325195 7.435168 7.229829 7.189597 7.369617 7.563903
#> [26,] 7.623311 7.432773 8.325195 7.435168 7.229829 7.189597 7.369617 7.563903
#> [27,] 7.801768 7.716196 8.106992 7.717279 7.623680 7.605166 7.687560 7.775218
#> [28,] 7.532518 7.034251 9.557920 7.040380 6.526949 6.429208 6.873810 7.374854
#> [29,] 8.855903 8.358585 10.828598 8.364735 7.846582 7.747237 8.197299 8.699109
#> [30,] 7.016860 6.697457 8.251750 6.701429 6.364745 6.299707 6.593087 6.916543
#> [31,] 6.896875 6.509564 8.433214 6.514354 6.110816 6.033447 6.383954 6.774764
#> [32,] 6.896875 6.509564 8.433214 6.514354 6.110816 6.033447 6.383954 6.774764
#> [33,] 7.029939 6.475633 9.355521 6.482405 5.919300 5.813083 6.298788 6.853725
#> [34,] 8.531287 8.385631 9.058118 8.387469 8.229172 8.197989 8.337089 8.485999
#> [35,] 8.849852 8.629358 9.661939 8.632129 8.394486 8.347922 8.556268 8.781105
#> [36,] 7.714320 7.496501 8.522775 7.499234 7.265306 7.219573 7.424462 7.646327
#> [37,] 7.275570 7.064666 8.059738 7.067311 6.840991 6.796769 6.994951 7.209719
#> [38,] 7.691047 7.619136 7.946599 7.620047 7.541257 7.525655 7.595045 7.668748
#> [39,] 7.564853 7.590194 7.477332 7.589871 7.618007 7.623626 7.598756 7.572676
#> [40,] 7.492128 7.548313 7.299861 7.547596 7.610247 7.622792 7.567350 7.509449
#> [41,] 7.366563 7.318230 7.537244 7.318843 7.265731 7.255195 7.302007 7.351590
#> [42,] 7.285780 7.294719 7.254757 7.294606 7.304510 7.306485 7.297736 7.288542
#> [43,] 7.291805 7.119546 7.924343 7.121713 6.935801 6.899340 7.062394 7.238122
#> [44,] 7.682345 7.334596 9.026013 7.338921 6.972257 6.901415 7.220943 7.573136
#> [45,] 7.847281 7.460683 9.355449 7.465482 7.059630 6.981437 7.334690 7.725697
#> [46,] 7.484745 7.253950 8.346584 7.256842 7.009667 6.961431 7.177757 7.412637
#> [47,] 7.083597 7.015187 7.326881 7.016053 6.941122 6.926288 6.992273 7.062381
#> [48,] 7.874702 7.131554 11.118155 7.140556 6.398821 6.260499 6.897166 7.637091
#> [49,] 7.412023 7.410330 7.417919 7.410351 7.408478 7.408105 7.409759 7.411500
#> [50,] 7.628886 7.732562 7.278843 7.731234 7.847568 7.870956 7.767831 7.660781
#> [51,] 7.481692 7.316151 8.087460 7.318234 7.139287 7.104157 7.261171 7.430129
#> [52,] 7.298775 6.692835 9.867868 6.700222 6.087557 5.972343 6.500108 7.105850
#> [53,] 7.298775 6.692835 9.867868 6.700222 6.087557 5.972343 6.500108 7.105850
#> [54,] 7.638987 7.435557 8.391220 7.438111 7.219260 7.176428 7.368202 7.575522
#> [55,] 7.638987 7.435557 8.391220 7.438111 7.219260 7.176428 7.368202 7.575522
#> [56,] 7.692107 7.696030 7.678470 7.695981 7.700324 7.701190 7.697354 7.693319
#> [57,] 7.721925 7.186290 9.916606 7.192868 6.642907 6.538454 7.014218 7.552238
#> [58,] 7.406805 7.414747 7.379235 7.414646 7.423444 7.425198 7.417427 7.409259
#> [59,] 7.631279 7.666025 7.511597 7.665582 7.704209 7.711929 7.677775 7.642001
#> [60,] 6.947990 7.103070 6.434281 7.101075 7.276650 7.312149 7.156129 6.995558
#> [61,] 7.626986 7.621301 7.646801 7.621374 7.615088 7.613837 7.619386 7.625229
#> [62,] 7.626986 7.621301 7.646801 7.621374 7.615088 7.613837 7.619386 7.625229
#> [63,] 7.626986 7.621301 7.646801 7.621374 7.615088 7.613837 7.619386 7.625229
#> [64,] 8.063995 7.810085 9.013597 7.813266 7.541526 7.488520 7.726299 7.984646
#> [65,] 8.233041 7.863476 9.659716 7.868073 7.478245 7.402908 7.742660 8.116996
#> [66,] 8.233041 7.863476 9.659716 7.868073 7.478245 7.402908 7.742660 8.116996
#> [67,] 8.165501 7.891557 9.194999 7.894985 7.602453 7.545473 7.801289 8.079829
#> [68,] 8.364783 7.953617 9.968369 7.958720 7.527024 7.443846 7.819606 8.235477
#> [69,] 7.888400 7.601788 8.972586 7.605370 7.300228 7.240906 7.507529 7.798677
#> [70,] 7.897499 7.555846 9.211309 7.560100 7.199076 7.129226 7.444028 7.790281
#> [71,] 8.535028 8.052000 10.453077 8.057972 7.554949 7.458535 7.895396 8.382715
#> [72,] 8.339227 7.781856 10.608728 7.788710 7.214817 7.105620 7.602473 8.162817
#> [73,] 8.525237 7.931568 10.959338 7.938857 7.329495 7.213783 7.740889 8.337146
#> [74,] 6.947315 7.090163 6.472313 7.088327 7.249763 7.282367 7.138981 6.991157
#> [75,] 6.824809 6.812173 6.868962 6.812333 6.798379 6.795602 6.807918 6.820901
#> [76,] 7.529866 7.319549 8.309921 7.322189 7.096244 7.052063 7.249977 7.464222
#> [77,] 7.151925 6.981216 7.779131 6.983363 6.799171 6.763054 6.924588 7.098720
#> [78,] 7.326913 7.144948 7.996972 7.147235 6.951101 6.912668 7.084626 7.270181
#> [79,] 7.466708 7.199628 8.475671 7.202966 6.918445 6.863110 7.111758 7.383116
#> [80,] 7.239950 6.838185 8.831052 6.843155 6.424252 6.343898 6.707826 7.113312
#> [81,] 7.681565 7.530217 8.232307 7.532124 7.368098 7.335844 7.479868 7.634463
#> [82,] 7.374883 7.366837 7.402947 7.366940 7.358048 7.356278 7.364127 7.372395
#> [83,] 7.532524 7.561389 7.432940 7.561021 7.593085 7.599491 7.571145 7.541434
#> [84,] 7.532524 7.561389 7.432940 7.561021 7.593085 7.599491 7.571145 7.541434
#> [85,] 7.378230 6.958620 9.045577 6.963807 6.526962 6.443248 6.822604 7.245901
#> [86,] 7.477982 7.595775 7.082161 7.594264 7.726732 7.753401 7.635903 7.514194
#> [87,] 7.465596 7.402656 7.688807 7.403454 7.334425 7.320747 7.381557 7.446085
#> [88,] 7.465596 7.402656 7.688807 7.403454 7.334425 7.320747 7.381557 7.446085
#> [89,] 7.481144 7.227083 8.436844 7.230261 6.959082 6.906275 7.143391 7.401678
#> [90,] 8.011664 7.882608 8.477426 7.884237 7.743837 7.716161 7.839569 7.971550
#> [91,] 7.668453 7.780789 7.290055 7.779349 7.905536 7.930924 7.819030 7.703000
#> [92,] 7.282026 7.262443 7.350579 7.262692 7.241086 7.236788 7.255853 7.275967
#> [93,] 7.282026 7.262443 7.350579 7.262692 7.241086 7.236788 7.255853 7.275967
#> [94,] 8.094645 7.782363 9.282226 7.786260 7.454594 7.390215 7.679822 7.996808
#> [95,] 7.836162 7.826201 7.870924 7.826328 7.815320 7.813129 7.822845 7.833082
#> [96,] 7.003729 6.828020 7.651131 6.830228 6.640888 6.603793 6.769782 6.948942
#> [97,] 7.092340 6.953694 7.596681 6.955441 6.805157 6.775602 6.907566 7.049194
#> [98,] 7.092340 6.953694 7.596681 6.955441 6.805157 6.775602 6.907566 7.049194
#> [99,] 7.920548 7.640582 8.977136 7.644082 7.345699 7.287650 7.548445 7.832936
#> [100,] 7.189577 7.074970 7.603034 7.076417 6.951714 6.927129 7.036746 7.153957
#> [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23]
#> [1,] 7.672767 7.492837 7.725481 7.242281 7.507545 7.525269 7.186032 7.268629
#> [2,] 7.672767 7.492837 7.725481 7.242281 7.507545 7.525269 7.186032 7.268629
#> [3,] 7.640784 7.406789 7.709663 7.083849 7.425851 7.448838 7.011823 7.117648
#> [4,] 7.640784 7.406789 7.709663 7.083849 7.425851 7.448838 7.011823 7.117648
#> [5,] 7.887398 7.326355 8.057124 6.591093 7.371165 7.425414 6.433213 6.665942
#> [6,] 8.029544 7.408265 8.218303 6.600677 7.457730 7.517652 6.428308 6.682527
#> [7,] 8.029544 7.408265 8.218303 6.600677 7.457730 7.517652 6.428308 6.682527
#> [8,] 8.029544 7.408265 8.218303 6.600677 7.457730 7.517652 6.428308 6.682527
#> [9,] 8.029544 7.408265 8.218303 6.600677 7.457730 7.517652 6.428308 6.682527
#> [10,] 6.734985 6.919807 6.682582 7.193586 6.904343 6.885794 7.257860 7.163845
#> [11,] 8.435583 7.889147 8.600171 7.167095 7.932929 7.985900 7.011105 7.240927
#> [12,] 8.118867 7.742234 8.230905 7.232676 7.772684 7.809460 7.120668 7.285443
#> [13,] 7.257359 7.007341 7.331142 6.663941 7.027672 7.052197 6.587619 6.699790
#> [14,] 7.677694 7.122324 7.845843 6.395637 7.166654 7.220328 6.239779 6.469550
#> [15,] 8.227575 7.300614 8.516287 6.151124 7.373086 7.461188 5.914216 6.264679
#> [16,] 7.795412 7.023360 8.033558 6.048196 7.084153 7.157955 5.844444 6.145502
#> [17,] 8.361360 7.375630 8.669530 6.161939 7.452484 7.545963 5.913127 6.281369
#> [18,] 9.197848 8.374647 9.450074 7.321565 8.439787 8.518791 7.099445 7.427376
#> [19,] 9.197848 8.374647 9.450074 7.321565 8.439787 8.518791 7.099445 7.427376
#> [20,] 6.611651 6.773016 6.565811 7.011187 6.759533 6.743355 7.066957 6.985363
#> [21,] 7.190681 7.341719 7.147682 7.563747 7.329118 7.313994 7.615586 7.539724
#> [22,] 7.190681 7.341719 7.147682 7.563747 7.329118 7.313994 7.615586 7.539724
#> [23,] 7.611098 7.877935 7.535801 8.276781 7.855534 7.828681 8.371025 8.233250
#> [24,] 8.008503 8.328800 7.918398 8.810340 8.301853 8.269564 8.924599 8.757625
#> [25,] 7.698456 7.486703 7.760660 7.193319 7.503979 7.524806 7.127697 7.224088
#> [26,] 7.698456 7.486703 7.760660 7.193319 7.503979 7.524806 7.127697 7.224088
#> [27,] 7.835184 7.740541 7.862707 7.606881 7.748319 7.757682 7.576566 7.621041
#> [28,] 7.734967 7.173103 7.905118 6.438211 7.217945 7.272240 6.280639 6.512943
#> [29,] 9.056490 8.497708 9.224443 7.756398 8.542547 8.596781 7.595778 7.832361
#> [30,] 7.144694 6.787171 7.251310 6.305711 6.816025 6.850885 6.200240 6.355445
#> [31,] 7.053092 6.617913 7.183895 6.040581 6.652834 6.695071 5.915490 6.099741
#> [32,] 7.053092 6.617913 7.183895 6.040581 6.652834 6.695071 5.915490 6.099741
#> [33,] 7.257289 6.629336 7.449293 5.822854 6.679101 6.739440 5.652250 5.904060
#> [34,] 8.588410 8.426978 8.635561 8.200877 8.440202 8.456132 8.149904 8.224726
#> [35,] 8.936807 8.691768 9.008784 8.352230 8.711760 8.735862 8.276279 8.387841
#> [36,] 7.800422 7.558078 7.871780 7.223802 7.577816 7.601620 7.149277 7.258777
#> [37,] 7.358985 7.124272 7.428133 6.800858 7.143381 7.166428 6.728809 6.834678
#> [38,] 7.719096 7.639606 7.742185 7.527101 7.646144 7.654013 7.501543 7.539034
#> [39,] 7.555055 7.582947 7.547026 7.623104 7.580639 7.577863 7.632340 7.618807
#> [40,] 7.470467 7.532223 7.452742 7.621628 7.527100 7.520945 7.642273 7.612032
#> [41,] 7.385379 7.332002 7.400852 7.256171 7.336399 7.341689 7.238898 7.264230
#> [42,] 7.282318 7.292165 7.279479 7.306301 7.291351 7.290372 7.309546 7.304791
#> [43,] 7.359676 7.168327 7.415830 6.902714 7.183949 7.202780 6.843223 6.930598
#> [44,] 7.821499 7.432282 7.937544 6.907955 7.463698 7.501653 6.793063 6.962127
#> [45,] 8.002429 7.569117 8.132004 6.988653 7.604018 7.646200 6.861982 7.048445
#> [46,] 7.576147 7.319134 7.651968 6.965891 7.340038 7.365255 6.887343 7.002780
#> [47,] 7.110287 7.034658 7.132259 6.927662 7.040877 7.048363 6.903364 6.939009
#> [48,] 8.183089 7.336349 8.445094 6.273201 7.402869 7.483661 6.052049 6.378943
#> [49,] 7.412679 7.410813 7.413218 7.408139 7.410967 7.411153 7.407526 7.408425
#> [50,] 7.589083 7.702807 7.556583 7.868784 7.693345 7.681982 7.907335 7.850893
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#> [83,] 7.521367 7.553133 7.512227 7.598896 7.550503 7.547342 7.609427 7.593997
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#> [88,] 7.490131 7.420579 7.510320 7.322015 7.426302 7.433190 7.299604 7.332476
#> [89,] 7.581985 7.298754 7.665731 6.911156 7.321753 7.349506 6.825240 6.951539
#> [90,] 8.062243 7.919255 8.103978 7.718724 7.930974 7.945090 7.673472 7.739890
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#> [93,] 7.289629 7.268031 7.295872 7.237187 7.269813 7.271957 7.230134 7.240474
#> [94,] 8.219005 7.870306 8.322459 7.396162 7.898552 7.932653 7.291554 7.445394
#> [95,] 7.840026 7.829045 7.843198 7.813332 7.829952 7.831042 7.809735 7.815008
#> [96,] 7.073031 6.877751 7.130399 6.607225 6.893682 6.912888 6.546722 6.635594
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#> [98,] 7.146810 6.993015 7.191810 6.778337 7.005598 7.020759 6.730059 6.800941
#> [99,] 8.031781 7.719520 8.124204 7.293015 7.744858 7.775437 7.198607 7.337406
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#> [,24] [,25] [,26] [,27] [,28] [,29] [,30] [,31]
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#> [2,] 7.566457 7.198345 7.437686 6.984807 7.189427 7.682393 7.379255 7.614596
#> [3,] 7.502322 7.027575 7.335413 6.755593 7.016165 7.653350 7.259972 7.564945
#> [4,] 7.502322 7.027575 7.335413 6.755593 7.016165 7.653350 7.259972 7.564945
#> [5,] 7.552520 6.467552 7.159970 5.889424 6.442669 7.918208 6.986509 7.702937
#> [6,] 7.658207 6.465766 7.224835 5.837628 6.438621 8.063781 7.034020 7.824817
#> [7,] 7.658207 6.465766 7.224835 5.837628 6.438621 8.063781 7.034020 7.824817
#> [8,] 7.658207 6.465766 7.224835 5.837628 6.438621 8.063781 7.034020 7.824817
#> [9,] 7.658207 6.465766 7.224835 5.837628 6.438621 8.063781 7.034020 7.824817
#> [10,] 6.843048 7.243698 6.978376 7.496883 7.253950 6.725359 7.041450 6.793716
#> [11,] 8.109874 7.045063 7.726362 6.471056 7.020458 8.465484 7.556282 8.256333
#> [12,] 7.895255 7.145113 7.628583 6.727135 7.127405 8.139268 7.509091 7.996122
#> [13,] 7.109296 6.604302 6.931276 6.316923 6.592218 7.270814 6.850981 7.176219
#> [14,] 7.346115 6.273672 6.957762 5.703480 6.249112 7.708213 6.786273 7.495018
#> [15,] 7.669182 5.965441 7.033922 5.125829 5.928306 8.279700 6.759951 7.918136
#> [16,] 7.331750 5.888586 6.798976 5.158594 5.856590 7.838486 6.567336 7.538982
#> [17,] 7.766866 5.966885 7.093142 5.088781 5.927911 8.416959 6.803494 8.031659
#> [18,] 8.704512 7.147632 8.133722 6.345819 7.112708 9.243525 7.884160 8.925385
#> [19,] 8.704512 7.147632 8.133722 6.345819 7.112708 9.243525 7.884160 8.925385
#> [20,] 6.706056 7.054674 6.824052 7.273885 7.063566 6.603233 6.878963 6.662979
#> [21,] 7.279106 7.604173 7.389386 7.807437 7.612435 7.182788 7.440616 7.238779
#> [22,] 7.279106 7.604173 7.389386 7.807437 7.612435 7.182788 7.440616 7.238779
#> [23,] 7.766874 8.350239 7.962903 8.723485 8.365284 7.597254 8.054625 7.695676
#> [24,] 8.195304 8.899384 8.431109 9.353474 8.917635 7.991927 8.541719 8.109861
#> [25,] 7.573238 7.142054 7.421975 6.893684 7.131656 7.709809 7.353490 7.629900
#> [26,] 7.573238 7.142054 7.421975 6.893684 7.131656 7.709809 7.353490 7.629900
#> [27,] 7.779398 7.583212 7.711310 7.467159 7.578399 7.840217 7.680225 7.804706
#> [28,] 7.399489 6.314904 7.006653 5.738578 6.290075 7.765848 6.833215 7.550135
#> [29,] 8.723642 7.630759 8.330883 7.038316 7.605414 9.087014 8.156398 8.873391
#> [30,] 6.932263 6.223246 6.679558 5.830746 6.206579 7.164099 6.566556 7.028027
#> [31,] 6.793871 5.942733 6.487990 5.481340 5.922995 7.076864 6.352100 6.910495
#> [32,] 6.793871 5.942733 6.487990 5.481340 5.922995 7.076864 6.352100 6.910495
#> [33,] 6.881209 5.689277 6.445156 5.071992 5.662442 7.292074 6.254173 7.049675
#> [34,] 8.493122 8.161069 8.377341 7.966894 8.152983 8.597025 8.324673 8.536303
#> [35,] 8.791908 8.292896 8.616861 8.005412 8.280860 8.949944 8.537604 8.857477
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#> [94,] 8.012153 7.314396 7.764796 6.922861 7.297849 8.237852 7.653716 8.105523
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#> [99,] 7.846684 7.219231 7.624805 6.864933 7.204292 8.048626 7.524972 7.930283
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#> [,32] [,33] [,34] [,35] [,36] [,37] [,38]
#> [1,] 7.218544 7.745314 8.117881 7.147218 8.012257 7.357491 7.205913
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#> [3,] 7.053434 7.735615 8.226943 6.962223 8.086923 7.231919 7.037260
#> [4,] 7.053434 7.735615 8.226943 6.962223 8.086923 7.231919 7.037260
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#> [8,] 6.527546 8.290122 9.723101 6.311234 9.300408 6.963863 6.488864
#> [9,] 6.527546 8.290122 9.723101 6.311234 9.300408 6.963863 6.488864
#> [10,] 7.220578 6.663064 6.315335 7.302844 6.410404 7.065218 7.235020
#> [11,] 7.100999 8.662626 9.890844 6.904755 9.531933 7.493554 7.065986
#> [12,] 7.185303 8.273256 9.089059 7.043889 8.853876 7.464825 7.160157
#> [13,] 6.631700 7.358963 7.887881 6.535120 7.736728 6.821151 6.614562
#> [14,] 6.329545 7.909752 9.177487 6.133758 8.804941 6.723144 6.294566
#> [15,] 6.050241 8.626987 10.930441 5.755049 10.232613 6.660117 5.997099
#> [16,] 5.961556 8.124595 9.987966 5.706969 9.429283 6.482632 5.915843
#> [17,] 6.055928 8.787828 11.265203 5.746237 10.511679 6.698091 6.000120
#> [18,] 7.227209 9.546292 11.493527 6.949135 10.913892 7.792682 7.177369
#> [19,] 7.227209 9.546292 11.493527 6.949135 10.913892 7.792682 7.177369
#> [20,] 7.034615 6.548727 6.243436 7.105957 6.327081 6.899640 7.047145
#> [21,] 7.585530 7.131647 6.844099 7.651803 6.923072 7.459893 7.597177
#> [22,] 7.585530 7.131647 6.844099 7.651803 6.923072 7.459893 7.597177
#> [23,] 8.316331 7.507797 7.012681 8.437119 7.147324 8.089246 8.337508
#> [24,] 8.858268 7.884918 7.295891 9.004836 7.455521 8.583515 8.883944
#> [25,] 7.165616 7.784082 8.226011 7.082468 8.100353 7.328005 7.150881
#> [26,] 7.165616 7.784082 8.226011 7.082468 8.100353 7.328005 7.150881
#> [27,] 7.594102 7.873037 8.064765 7.555580 8.010854 7.668616 7.587294
#> [28,] 6.371391 7.969791 9.253150 6.173463 8.875927 6.769373 6.336027
#> [29,] 7.688361 9.288134 10.536276 7.486171 10.172374 8.091997 7.652308
#> [30,] 6.261087 7.291641 8.071711 6.128018 7.846226 6.524730 6.237409
#> [31,] 5.987594 7.233497 8.205552 5.830129 7.922144 6.301945 5.959516
#> [32,] 5.987594 7.233497 8.205552 5.830129 7.922144 6.301945 5.959516
#> [33,] 5.750404 7.522491 8.998669 5.536697 8.560235 6.184115 5.712122
#> [34,] 8.179376 8.653284 8.984559 8.114684 8.890956 8.305034 8.167929
#> [35,] 8.320167 9.035886 9.547196 8.223929 9.401819 8.508110 8.303112
#> [36,] 7.192330 7.898669 8.407968 7.097964 8.262779 7.377043 7.175596
#> [37,] 6.770429 7.454194 7.948253 6.679213 7.807324 6.949070 6.754251
#> [38,] 7.516330 7.750848 7.911331 7.483842 7.866263 7.579101 7.510589
#> [39,] 7.626992 7.544022 7.489182 7.638762 7.504430 7.604443 7.629066
#> [40,] 7.630313 7.446116 7.325732 7.656646 7.359094 7.580008 7.634951
#> [41,] 7.248893 7.406654 7.513788 7.226924 7.483768 7.291262 7.245014
#> [42,] 7.307667 7.278417 7.258971 7.311801 7.264387 7.299738 7.308396
#> [43,] 6.877603 7.436967 7.835144 6.802201 7.722050 7.024724 6.864244
#> [44,] 6.859346 7.981440 8.830191 6.714384 8.584904 7.146502 6.833553
#> [45,] 6.935037 8.181063 9.134307 6.775349 8.857930 7.252263 6.906601
#> [46,] 6.932711 7.680555 8.223712 6.833305 8.068549 7.127641 6.915074
#> [47,] 6.917421 7.140504 7.293290 6.886536 7.250373 6.977110 6.911964
#> [48,] 6.179119 8.545349 10.608359 5.903038 9.987735 6.745904 6.129505
#> [49,] 7.407881 7.413420 7.417116 7.407101 7.416086 7.409380 7.407743
#> [50,] 7.884993 7.544448 7.325516 7.934225 7.385900 7.791323 7.893654
#> [51,] 7.083207 7.620998 8.002229 7.010503 7.894078 7.224917 7.070329
#> [52,] 5.904410 7.839438 9.471103 5.673097 8.984824 6.375296 5.862938
#> [53,] 5.904410 7.839438 9.471103 5.673097 8.984824 6.375296 5.862938
#> [54,] 7.150906 7.810900 8.284657 7.062456 8.149773 7.323846 7.135226
#> [55,] 7.150906 7.810900 8.284657 7.062456 8.149773 7.323846 7.135226
#> [56,] 7.701708 7.688873 7.680324 7.703519 7.682707 7.698232 7.702028
#> [57,] 6.476704 8.193471 9.584727 6.265528 9.174713 6.902318 6.438948
#> [58,] 7.426248 7.400263 7.382980 7.429919 7.387794 7.419206 7.426896
#> [59,] 7.716554 7.602748 7.527772 7.732735 7.548598 7.685581 7.719406
#> [60,] 7.333486 6.822672 6.501888 7.408515 6.589764 7.191555 7.346664
#> [61,] 7.613087 7.631677 7.644101 7.610470 7.640636 7.618115 7.612626
#> [62,] 7.613087 7.631677 7.644101 7.610470 7.640636 7.618115 7.612626
#> [63,] 7.613087 7.631677 7.644101 7.610470 7.640636 7.618115 7.612626
#> [64,] 7.456963 8.279547 8.878079 7.347761 8.707008 7.671199 7.437585
#> [65,] 7.358166 8.550786 9.451917 7.203977 9.191571 7.663519 7.330734
#> [66,] 7.358166 8.550786 9.451917 7.203977 9.191571 7.663519 7.330734
#> [67,] 7.511562 8.398513 9.047617 7.394290 8.861785 7.741962 7.490744
#> [68,] 7.394486 8.719739 9.733276 7.224606 9.439444 7.731930 7.364236
#> [69,] 7.205619 8.132827 8.816717 7.083693 8.620489 7.445629 7.183963
#> [70,] 7.087731 8.190790 9.020423 6.944658 8.781048 7.370745 7.062285
#> [71,] 7.401400 8.955016 10.168662 7.205218 9.814692 7.793166 7.366415
#> [72,] 7.041035 8.828697 10.266866 6.819985 9.843901 7.485731 7.001534
#> [73,] 7.145380 9.048011 10.591100 6.911472 10.136240 7.616900 7.103558
#> [74,] 7.301957 6.831700 6.534991 7.370810 6.616383 7.171559 7.314054
#> [75,] 6.793940 6.835245 6.862937 6.788136 6.855206 6.805096 6.792916
#> [76,] 7.025743 7.707814 8.199198 6.934565 8.059151 7.204178 7.009575
#> [77,] 6.741522 7.295815 7.690651 6.666839 7.578484 6.887265 6.728290
#> [78,] 6.889759 7.480428 7.902308 6.810324 7.782366 7.044880 6.875682
#> [79,] 6.830192 7.694359 8.330741 6.716430 8.148227 7.054043 6.809989
#> [80,] 6.296271 7.588910 8.595515 6.132679 8.302193 6.622699 6.267104
#> [81,] 7.316601 7.808640 8.155102 7.249771 8.057004 7.446644 7.304769
#> [82,] 7.355218 7.381523 7.399122 7.351517 7.394212 7.362329 7.354565
#> [83,] 7.603328 7.508807 7.446414 7.616750 7.463754 7.577626 7.605694
#> [84,] 7.603328 7.508807 7.446414 7.616750 7.463754 7.577626 7.605694
#> [85,] 6.393642 7.743174 8.798232 6.223327 8.490446 6.733821 6.363268
#> [86,] 7.769413 7.382235 7.134768 7.825608 7.202907 7.662648 7.779295
#> [87,] 7.312571 7.517895 7.658045 7.284078 7.618715 7.367589 7.307537
#> [88,] 7.312571 7.517895 7.658045 7.284078 7.618715 7.367589 7.307537
#> [89,] 6.874851 7.697328 8.299941 6.766191 8.127362 7.088392 6.855560
#> [90,] 7.699639 8.119662 8.412488 7.642196 8.329812 7.811140 7.689476
#> [91,] 7.946162 7.577051 7.340429 7.999628 7.405638 7.844509 7.955566
#> [92,] 7.234216 7.298212 7.341212 7.225239 7.329200 7.251483 7.232632
#> [93,] 7.234216 7.298212 7.341212 7.225239 7.329200 7.251483 7.232632
#> [94,] 7.351936 8.361532 9.110907 7.219764 8.895501 7.612527 7.328450
#> [95,] 7.811817 7.844385 7.866184 7.807237 7.860102 7.820620 7.811009
#> [96,] 6.581683 7.152001 7.559632 6.505022 7.443718 6.731412 6.568097
#> [97,] 6.757968 7.208734 7.525998 6.696726 7.436177 6.877126 6.747126
#> [98,] 6.757968 7.208734 7.525998 6.696726 7.436177 6.877126 6.747126
#> [99,] 7.253115 8.159086 8.825462 7.133751 8.634410 7.487921 7.231919
#> [100,] 6.912452 7.285469 7.545403 6.861422 7.472024 7.011496 6.903424
#> [,39] [,40]
#> [1,] 8.076497 7.087228
#> [2,] 8.076497 7.087228
#> [3,] 8.172015 6.885728
#> [4,] 8.172015 6.885728
#> [5,] 9.250944 6.162134
#> [6,] 9.555909 6.133258
#> [7,] 9.555909 6.133258
#> [8,] 9.555909 6.133258
#> [9,] 9.555909 6.133258
#> [10,] 6.352266 7.373408
#> [11,] 9.749201 6.742441
#> [12,] 8.996546 6.926039
#> [13,] 7.828546 6.454245
#> [14,] 9.030264 5.972329
#> [15,] 10.652628 5.515812
#> [16,] 9.766110 5.499419
#> [17,] 10.964923 5.495823
#> [18,] 11.263753 6.721511
#> [19,] 11.263753 6.721511
#> [20,] 6.275946 7.167082
#> [21,] 6.874810 7.708510
#> [22,] 6.874810 7.708510
#> [23,] 7.064920 8.541021
#> [24,] 7.357775 9.131147
#> [25,] 8.176743 7.012648
#> [26,] 8.176743 7.012648
#> [27,] 8.043684 7.523035
#> [28,] 9.104071 6.010290
#> [29,] 10.392742 7.318725
#> [30,] 7.982956 6.017288
#> [31,] 8.093768 5.699722
#> [32,] 8.093768 5.699722
#> [33,] 8.824963 5.361541
#> [34,] 8.947914 8.060174
#> [35,] 9.490198 8.143114
#> [36,] 8.351008 7.018836
#> [37,] 7.892956 6.602751
#> [38,] 7.893713 7.456376
#> [39,] 7.495129 7.648768
#> [40,] 7.338733 7.679069
#> [41,] 7.502058 7.208328
#> [42,] 7.261084 7.315311
#> [43,] 7.790814 6.738847
#> [44,] 8.733647 6.593744
#> [45,] 9.025441 6.642690
#> [46,] 8.162809 6.750046
#> [47,] 7.276512 6.860428
#> [48,] 10.361704 5.678395
#> [49,] 7.416714 7.406438
#> [50,] 7.349021 7.976255
#> [51,] 7.959849 6.949377
#> [52,] 9.278281 5.483878
#> [53,] 9.278281 5.483878
#> [54,] 8.231756 6.988237
#> [55,] 8.231756 6.988237
#> [56,] 7.681254 7.705057
#> [57,] 9.422586 6.091689
#> [58,] 7.384859 7.433037
#> [59,] 7.535892 7.746497
#> [60,] 6.536041 7.472803
#> [61,] 7.642749 7.608249
#> [62,] 7.642749 7.608249
#> [63,] 7.642749 7.608249
#> [64,] 8.810923 7.256324
#> [65,] 9.349453 7.075636
#> [66,] 9.349453 7.075636
#> [67,] 8.974638 7.296184
#> [68,] 9.617537 7.083474
#> [69,] 8.739614 6.981820
#> [70,] 8.926242 6.825482
#> [71,] 10.029034 7.042780
#> [72,] 10.099687 6.637807
#> [73,] 10.411215 6.718945
#> [74,] 6.566634 7.429762
#> [75,] 6.859919 6.783214
#> [76,] 8.144259 6.858100
#> [77,] 7.646682 6.604097
#> [78,] 7.855283 6.743616
#> [79,] 8.259035 6.621354
#> [80,] 8.479835 5.997157
#> [81,] 8.116679 7.193524
#> [82,] 7.397205 7.348377
#> [83,] 7.453176 7.628161
#> [84,] 7.453176 7.628161
#> [85,] 8.676815 6.082324
#> [86,] 7.161281 7.873626
#> [87,] 7.642672 7.259980
#> [88,] 7.642672 7.259980
#> [89,] 8.232162 6.675307
#> [90,] 8.380127 7.593774
#> [91,] 7.365807 8.045292
#> [92,] 7.336522 7.217628
#> [93,] 7.336522 7.217628
#> [94,] 9.026233 7.109439
#> [95,] 7.863810 7.803351
#> [96,] 7.514184 6.440651
#> [97,] 7.490817 6.645179
#> [98,] 7.490817 6.645179
#> [99,] 8.750407 7.033974
#> [100,] 7.516682 6.818402
#>
#> $ratio
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
#> [1,] 1.873795 2.135875 2.075002 1.829301 2.144538 2.026651 1.841019 1.924468
#> [2,] 1.873795 2.135875 2.075002 1.829301 2.144538 2.026651 1.841019 1.924468
#> [3,] 1.904087 1.910228 1.908870 1.902962 1.910418 1.907763 1.903261 1.905337
#> [4,] 1.904087 1.910228 1.908870 1.902962 1.910418 1.907763 1.903261 1.905337
#> [5,] 1.980760 2.041695 2.028077 1.969773 2.043608 2.017039 1.972686 1.993031
#> [6,] 1.895782 2.110517 2.061086 1.858804 2.117531 2.021638 1.868558 1.937702
#> [7,] 1.895782 2.110517 2.061086 1.858804 2.117531 2.021638 1.868558 1.937702
#> [8,] 1.895782 2.110517 2.061086 1.858804 2.117531 2.021638 1.868558 1.937702
#> [9,] 1.895782 2.110517 2.061086 1.858804 2.117531 2.021638 1.868558 1.937702
#> [10,] 2.198651 1.818286 1.896194 2.276672 1.807637 1.962186 2.255675 2.115152
#> [11,] 1.619482 1.882143 1.820685 1.575408 1.890911 1.772060 1.587000 1.669866
#> [12,] 1.748304 1.869460 1.841998 1.726931 1.873338 1.819903 1.732585 1.772345
#> [13,] 1.919719 2.164147 2.107612 1.877945 2.172182 2.062607 1.888955 1.967193
#> [14,] 1.825980 2.257207 2.153944 1.756277 2.272053 2.073249 1.774533 1.906618
#> [15,] 1.678122 2.404656 2.220989 1.570882 2.431553 2.081656 1.598689 1.805792
#> [16,] 1.799627 2.304870 2.182281 1.719708 2.322573 2.087162 1.740590 1.892723
#> [17,] 1.585610 2.336289 2.144604 1.476708 2.364457 2.000002 1.504892 1.715959
#> [18,] 1.453768 1.792018 1.711106 1.399000 1.803647 1.647840 1.413347 1.517094
#> [19,] 1.453768 1.792018 1.711106 1.399000 1.803647 1.647840 1.413347 1.517094
#> [20,] 2.376886 2.008439 2.084565 2.451528 1.998006 2.148769 2.431470 2.296668
#> [21,] 2.334634 1.794719 1.902063 2.450120 1.780183 1.994328 2.418889 2.212773
#> [22,] 2.334634 1.794719 1.902063 2.450120 1.780183 1.994328 2.418889 2.212773
#> [23,] 2.100331 1.571136 1.675174 2.215297 1.557097 1.765088 2.184150 1.979658
#> [24,] 2.016441 1.455789 1.564404 2.140717 1.441198 1.658942 2.106967 1.886888
#> [25,] 1.940489 1.679944 1.734303 1.992536 1.672471 1.779928 1.978572 1.884291
#> [26,] 1.940489 1.679944 1.734303 1.992536 1.672471 1.779928 1.978572 1.884291
#> [27,] 1.875247 1.859826 1.863221 1.878092 1.859351 1.865994 1.877336 1.872094
#> [28,] 1.944364 2.384895 2.279711 1.872819 2.400002 2.197385 1.891568 2.027009
#> [29,] 1.607725 1.713768 1.689760 1.588983 1.717157 1.670432 1.593941 1.628793
#> [30,] 2.057806 2.186736 2.157581 2.034977 2.190849 2.134096 2.041018 2.083454
#> [31,] 2.112475 2.399485 2.332910 2.063645 2.408956 2.279993 2.076509 2.168048
#> [32,] 2.112475 2.399485 2.332910 2.063645 2.408956 2.279993 2.076509 2.168048
#> [33,] 2.045245 2.659248 2.509438 1.949015 2.680922 2.393549 1.974133 2.157669
#> [34,] 1.734640 1.508396 1.555683 1.779719 1.501892 1.595336 1.767628 1.685924
#> [35,] 1.633848 1.471446 1.505867 1.665553 1.466690 1.534531 1.657069 1.599352
#> [36,] 1.749375 1.891778 1.859360 1.724423 1.896362 1.833337 1.731018 1.777504
#> [37,] 1.848969 2.112521 2.051251 1.804287 2.121243 2.002609 1.816053 1.899877
#> [38,] 2.057163 1.676268 1.753818 2.135961 1.665688 1.819702 2.114734 1.973073
#> [39,] 2.080923 1.698805 1.776663 2.159889 1.688181 1.842783 2.138619 1.996623
#> [40,] 2.093479 1.742380 1.814480 2.165232 1.732518 1.875473 2.145930 2.016592
#> [41,] 2.087643 1.706274 1.784016 2.166401 1.695665 1.850023 2.145189 2.003545
#> [42,] 1.954230 1.688082 1.743560 2.007465 1.680457 1.790145 1.993180 1.896775
#> [43,] 1.971563 1.863224 1.886629 1.992125 1.859971 1.905931 1.986641 1.948981
#> [44,] 1.925916 2.116147 2.072575 1.892899 2.122320 2.037711 1.901616 1.963250
#> [45,] 1.830805 2.221147 2.128327 1.766988 2.234460 2.055519 1.783725 1.904367
#> [46,] 2.024957 2.016154 2.018095 2.026577 2.015882 2.019679 2.026146 2.023159
#> [47,] 2.069696 1.982674 2.001575 2.086082 1.980043 2.017120 2.081715 2.051654
#> [48,] 1.784091 2.225378 2.119352 1.713153 2.240639 2.036646 1.731722 1.866302
#> [49,] 2.009580 1.734665 1.791955 2.064591 1.726792 1.840067 2.049829 1.950216
#> [50,] 1.842494 1.684025 1.717810 1.873165 1.679349 1.745861 1.864966 1.809026
#> [51,] 1.823421 1.930220 1.906106 1.804467 1.933621 1.886665 1.809484 1.844700
#> [52,] 1.805011 2.567931 2.375566 1.691896 2.596076 2.229424 1.721241 1.939487
#> [53,] 1.805011 2.567931 2.375566 1.691896 2.596076 2.229424 1.721241 1.939487
#> [54,] 1.775006 1.976524 1.930131 1.740309 1.983107 1.893109 1.749462 1.814342
#> [55,] 1.775006 1.976524 1.930131 1.740309 1.983107 1.893109 1.749462 1.814342
#> [56,] 2.053313 1.645087 1.727633 2.138590 1.633851 1.797998 2.115592 1.962607
#> [57,] 1.681241 2.211882 2.081848 1.598675 2.230723 1.981495 1.620209 1.777922
#> [58,] 1.993438 1.736427 1.790181 2.044596 1.729032 1.835242 2.030876 1.938135
#> [59,] 1.887280 1.723729 1.758588 1.918949 1.718904 1.787534 1.910483 1.852730
#> [60,] 2.068082 1.892528 1.929974 2.102036 1.887344 1.961056 2.092960 2.031024
#> [61,] 1.926101 1.652464 1.709347 1.981050 1.644653 1.757177 1.966298 1.866873
#> [62,] 1.926101 1.652464 1.709347 1.981050 1.644653 1.757177 1.966298 1.866873
#> [63,] 1.926101 1.652464 1.709347 1.981050 1.644653 1.757177 1.966298 1.866873
#> [64,] 1.764629 1.916333 1.881741 1.738113 1.921226 1.853997 1.745120 1.794544
#> [65,] 1.615977 2.158956 2.025145 1.532286 2.178381 1.922196 1.554091 1.714268
#> [66,] 1.615977 2.158956 2.025145 1.532286 2.178381 1.922196 1.554091 1.714268
#> [67,] 1.759671 2.248814 2.130227 1.682195 2.265935 2.038172 1.702442 1.849881
#> [68,] 1.645205 2.249024 2.098966 1.553442 2.270870 1.984048 1.577312 1.753456
#> [69,] 1.630818 2.207536 2.064727 1.542640 2.228301 1.955144 1.565593 1.734641
#> [70,] 1.697129 2.319448 2.164806 1.602540 2.341961 2.046372 1.627146 1.808708
#> [71,] 1.548965 2.273461 2.088719 1.443608 2.300596 1.949246 1.470882 1.674977
#> [72,] 1.590344 2.039153 1.930211 1.519401 2.054887 1.845700 1.537936 1.673001
#> [73,] 1.614631 2.031848 1.931276 1.547922 2.046339 1.852963 1.565373 1.692073
#> [74,] 2.148182 1.645083 1.744950 2.256028 1.631565 1.830855 2.226855 2.034466
#> [75,] 2.100577 1.854619 1.906340 2.149152 1.847491 1.949580 2.136137 2.047928
#> [76,] 2.026561 2.051718 2.046135 2.021976 2.052501 2.041593 2.023194 2.031664
#> [77,] 2.010949 2.133724 2.105977 1.989190 2.137637 2.083619 1.994948 2.035387
#> [78,] 1.994475 2.149618 2.114344 1.967235 2.154603 2.086011 1.974437 2.025162
#> [79,] 1.908128 2.034828 2.006138 1.885741 2.038876 1.983044 1.891663 1.933296
#> [80,] 2.009838 2.167105 2.131343 1.982232 2.172159 2.102619 1.989530 2.040939
#> [81,] 2.087126 1.529531 1.638226 2.209682 1.514901 1.732551 2.176433 1.958996
#> [82,] 2.279276 1.515907 1.658801 2.456479 1.496910 1.785233 2.408093 2.097460
#> [83,] 2.219442 1.538287 1.668022 2.373943 1.520949 1.781866 2.331872 2.059647
#> [84,] 2.219442 1.538287 1.668022 2.373943 1.520949 1.781866 2.331872 2.059647
#> [85,] 1.674256 2.423256 2.233224 1.564384 2.451119 2.089353 1.592854 1.805312
#> [86,] 2.155051 1.599913 1.708711 2.276174 1.585245 1.802880 2.243342 2.028103
#> [87,] 2.024447 1.661650 1.735734 2.099187 1.651534 1.798580 2.079063 1.944574
#> [88,] 2.024447 1.661650 1.735734 2.099187 1.651534 1.798580 2.079063 1.944574
#> [89,] 1.968428 1.854160 1.878814 1.990158 1.850734 1.899159 1.984361 1.944579
#> [90,] 1.734441 1.876550 1.844192 1.709548 1.881125 1.818221 1.716127 1.762506
#> [91,] 1.880755 1.746594 1.775378 1.906481 1.742602 1.799200 1.899612 1.852598
#> [92,] 2.002751 1.955800 1.966074 2.011492 1.954366 1.974492 2.009166 1.993090
#> [93,] 2.002751 1.955800 1.966074 2.011492 1.954366 1.974492 2.009166 1.993090
#> [94,] 1.855705 1.693731 1.728244 1.887080 1.688954 1.756907 1.878692 1.821478
#> [95,] 1.870882 1.729917 1.760109 1.897981 1.725731 1.785117 1.890742 1.841246
#> [96,] 1.961586 2.090896 2.061621 1.938731 2.095028 2.038053 1.944778 1.987277
#> [97,] 1.924682 1.916205 1.918074 1.926242 1.915944 1.919600 1.925827 1.922951
#> [98,] 1.924682 1.916205 1.918074 1.926242 1.915944 1.919600 1.925827 1.922951
#> [99,] 1.908657 1.966011 1.953196 1.898312 1.967811 1.942809 1.901055 1.920210
#> [100,] 1.911185 1.865445 1.875453 1.919703 1.864049 1.883653 1.917436 1.901772
#> [,9] [,10] [,11] [,12] [,13] [,14] [,15] [,16]
#> [1,] 1.987005 1.721806 1.986196 2.057732 2.072291 2.008543 1.943584 1.900765
#> [2,] 1.987005 1.721806 1.986196 2.057732 2.072291 2.008543 1.943584 1.900765
#> [3,] 1.906836 1.900129 1.906817 1.908477 1.908808 1.907342 1.905800 1.904756
#> [4,] 1.906836 1.900129 1.906817 1.908477 1.908808 1.907342 1.905800 1.904756
#> [5,] 2.007837 1.942355 2.007648 2.024157 2.027463 2.012854 1.997595 1.987322
#> [6,] 1.989164 1.768788 1.988501 2.047015 2.058879 2.006820 1.953464 1.918119
#> [7,] 1.989164 1.768788 1.988501 2.047015 2.058879 2.006820 1.953464 1.918119
#> [8,] 1.989164 1.768788 1.988501 2.047015 2.058879 2.006820 1.953464 1.918119
#> [9,] 1.989164 1.768788 1.988501 2.047015 2.058879 2.006820 1.953464 1.918119
#> [10,] 2.019248 2.485781 2.020441 1.919329 1.899794 1.987906 2.085033 2.153531
#> [11,] 1.732317 1.469588 1.731508 1.803298 1.817955 1.753893 1.688924 1.646274
#> [12,] 1.801593 1.674224 1.801218 1.834135 1.840766 1.811562 1.781334 1.761139
#> [13,] 2.025637 1.776661 2.024882 2.091547 2.105091 2.045729 1.985075 1.945000
#> [14,] 2.007964 1.592202 2.006641 2.124987 2.149389 2.043332 1.937384 1.868733
#> [15,] 1.971659 1.330058 1.969456 2.170562 2.213024 2.030945 1.855512 1.745332
#> [16,] 2.010659 1.533702 2.009113 2.148078 2.176895 2.052053 1.928417 1.848901
#> [17,] 1.886371 1.234309 1.884099 2.092187 2.136319 1.947556 1.766919 1.654138
#> [18,] 1.596632 1.269962 1.595594 1.688406 1.707535 1.624376 1.541246 1.487347
#> [19,] 1.596632 1.269962 1.595594 1.688406 1.707535 1.624376 1.541246 1.487347
#> [20,] 2.204089 2.650187 2.205243 2.107101 2.088074 2.173726 2.267645 2.333582
#> [21,] 2.075078 2.767117 2.076775 1.934270 1.907065 2.030615 2.169265 2.268558
#> [22,] 2.075078 2.767117 2.076775 1.934270 1.907065 2.030615 2.169265 2.268558
#> [23,] 1.844134 2.533697 1.845799 1.706510 1.680038 1.800569 1.936738 2.034816
#> [24,] 1.742543 2.488927 1.744308 1.597283 1.569502 1.696412 1.841040 1.945988
#> [25,] 1.819081 2.129968 1.819896 1.750340 1.736802 1.797609 1.863890 1.910186
#> [26,] 1.819081 2.129968 1.819896 1.750340 1.736802 1.797609 1.863890 1.910186
#> [27,] 1.868321 1.885280 1.868369 1.864204 1.863375 1.867051 1.870927 1.873558
#> [28,] 2.130695 1.703987 2.129343 2.250181 2.275066 2.166834 2.058506 1.988197
#> [29,] 1.654407 1.542717 1.654079 1.682883 1.688682 1.663133 1.636668 1.618974
#> [30,] 2.114613 1.978566 2.114214 2.149227 2.156272 2.125223 2.093036 2.071503
#> [31,] 2.236578 1.945542 2.235693 2.314013 2.329944 2.260167 2.189002 2.142058
#> [32,] 2.236578 1.945542 2.235693 2.314013 2.329944 2.260167 2.189002 2.142058
#> [33,] 2.300574 1.726123 2.298697 2.467730 2.502867 2.350854 2.200864 2.104706
#> [34,] 1.629340 1.898580 1.630048 1.569625 1.557855 1.610695 1.668228 1.708377
#> [35,] 1.558968 1.748203 1.559475 1.515966 1.507443 1.545584 1.586759 1.615282
#> [36,] 1.811812 1.663110 1.811371 1.850093 1.857907 1.823527 1.788038 1.764384
#> [37,] 1.962739 1.696422 1.961926 2.033875 2.048523 1.984397 1.919089 1.876061
#> [38,] 1.876810 2.348178 1.878005 1.776895 1.757408 1.845427 1.942803 2.011691
#> [39,] 1.900079 2.372428 1.901278 1.799825 1.780266 1.868595 1.966270 2.035342
#> [40,] 1.928158 2.357144 1.929258 1.835870 1.817809 1.899226 1.988834 2.051944
#> [41,] 1.907209 2.378300 1.908405 1.807140 1.787614 1.875786 1.973261 2.042174
#> [42,] 1.830138 2.148135 1.830971 1.759933 1.746111 1.808204 1.875923 1.923246
#> [43,] 1.922257 2.044898 1.922595 1.893449 1.887694 1.913331 1.940681 1.959436
#> [44,] 2.008949 1.812186 2.008361 2.060149 2.070627 2.024594 1.977263 1.945822
#> [45,] 1.996432 1.615863 1.995233 2.102228 2.124223 2.028463 1.932360 1.869842
#> [46,] 2.021007 2.030666 2.021035 2.018656 2.018183 2.020282 2.022494 2.023994
#> [47,] 2.030238 2.127950 2.030509 2.007071 2.002434 2.023069 2.045011 2.060014
#> [48,] 1.969835 1.546649 1.968482 2.089657 2.114679 2.006018 1.897708 1.827659
#> [49,] 1.881376 2.209988 1.882236 1.808864 1.794589 1.858720 1.928674 1.977566
#> [50,] 1.769717 1.952739 1.770212 1.727702 1.719354 1.756658 1.796784 1.824494
#> [51,] 1.870528 1.757573 1.870197 1.899192 1.905022 1.879317 1.852645 1.834786
#> [52,] 2.113914 1.437298 2.111599 2.322697 2.367217 2.176187 1.991805 1.875829
#> [53,] 2.113914 1.437298 2.111599 2.322697 2.367217 2.176187 1.991805 1.875829
#> [54,] 1.862635 1.655853 1.862012 1.916926 1.928060 1.879204 1.829134 1.795966
#> [55,] 1.862635 1.655853 1.862012 1.916926 1.928060 1.879204 1.829134 1.795966
#> [56,] 1.859162 2.369523 1.860443 1.752255 1.731462 1.825531 1.930033 2.004225
#> [57,] 1.901141 1.408149 1.899521 2.045707 2.076153 1.944579 1.815129 1.732347
#> [58,] 1.873873 2.179411 1.874677 1.806026 1.792651 1.852692 1.918040 1.963626
#> [59,] 1.812155 2.001129 1.812666 1.768795 1.760181 1.798677 1.840093 1.868697
#> [60,] 1.987486 2.190091 1.988034 1.940935 1.931685 1.973019 2.017466 2.048152
#> [61,] 1.798285 2.126574 1.799142 1.726151 1.711965 1.775734 1.845398 1.894150
#> [62,] 1.798285 2.126574 1.799142 1.726151 1.711965 1.775734 1.845398 1.894150
#> [63,] 1.798285 2.126574 1.799142 1.726151 1.711965 1.775734 1.845398 1.894150
#> [64,] 1.831065 1.673049 1.830595 1.871859 1.880192 1.843544 1.805754 1.780588
#> [65,] 1.839973 1.340108 1.838317 1.988036 2.019295 1.884397 1.752176 1.667896
#> [66,] 1.839973 1.340108 1.838317 1.988036 2.019295 1.884397 1.752176 1.667896
#> [67,] 1.964108 1.501753 1.962611 2.097129 2.125015 2.004186 1.884459 1.807423
#> [68,] 1.892614 1.344265 1.890775 2.057488 2.092423 1.941975 1.795338 1.702321
#> [69,] 1.867812 1.341005 1.866055 2.025197 2.058493 1.914975 1.774755 1.685624
#> [70,] 1.952136 1.386906 1.950241 2.122060 2.158063 2.003010 1.851876 1.756002
#> [71,] 1.839575 1.208808 1.837382 2.038173 2.080730 1.898636 1.724215 1.615225
#> [72,] 1.777742 1.354347 1.776368 1.899820 1.925425 1.814511 1.704699 1.634091
#> [73,] 1.789793 1.391786 1.788515 1.903144 1.926848 1.823994 1.721693 1.655654
#> [74,] 1.906085 2.552425 1.907667 1.774930 1.749606 1.864656 1.993888 2.086511
#> [75,] 1.986566 2.276600 1.987335 1.921557 1.908712 1.966296 2.028762 2.072214
#> [76,] 2.037796 2.010469 2.037718 2.044524 2.045883 2.039867 2.033557 2.029292
#> [77,] 2.065067 1.935397 2.064687 2.098024 2.104731 2.075170 2.044515 2.024000
#> [78,] 2.062561 1.900231 2.062081 2.104257 2.112763 2.075325 2.036648 2.010851
#> [79,] 1.963897 1.830484 1.963505 1.997921 2.004851 1.974323 1.942703 1.921566
#> [80,] 2.078848 1.914337 2.078361 2.121116 2.129740 2.091786 2.052582 2.026435
#> [81,] 1.815758 2.551393 1.817513 1.671060 1.643319 1.769867 1.913556 2.017496
#> [82,] 1.898564 2.966554 1.900973 1.702559 1.665571 1.835854 2.033855 2.180025
#> [83,] 1.883222 2.812680 1.885369 1.707520 1.674139 1.827217 2.003420 2.132378
#> [84,] 1.883222 2.812680 1.885369 1.707520 1.674139 1.827217 2.003420 2.132378
#> [85,] 1.975961 1.318436 1.973691 2.181125 2.224993 2.037055 1.856421 1.743215
#> [86,] 1.885772 2.612456 1.887519 1.741515 1.713801 1.840076 1.983000 2.086105
#> [87,] 1.852991 2.299999 1.854129 1.757756 1.739160 1.823098 1.915794 1.981271
#> [88,] 1.852991 2.299999 1.854129 1.757756 1.739160 1.823098 1.915794 1.981271
#> [89,] 1.916377 2.045986 1.916734 1.886001 1.879936 1.906962 1.935818 1.955619
#> [90,] 1.796740 1.648389 1.796300 1.834944 1.842743 1.808431 1.773017 1.749416
#> [91,] 1.819407 1.972881 1.819826 1.783786 1.776691 1.808352 1.842275 1.865623
#> [92,] 1.981574 2.033688 1.981720 1.969054 1.966540 1.977706 1.989524 1.997571
#> [93,] 1.981574 2.033688 1.981720 1.969054 1.966540 1.977706 1.989524 1.997571
#> [94,] 1.781290 1.968518 1.781796 1.738351 1.729821 1.767942 1.808961 1.837295
#> [95,] 1.806346 1.968024 1.806786 1.768933 1.761486 1.794730 1.830388 1.854951
#> [96,] 2.018512 1.882312 2.018111 2.053235 2.060307 2.029152 1.996880 1.975304
#> [97,] 1.920879 1.930179 1.920905 1.918615 1.918159 1.920181 1.922310 1.923755
#> [98,] 1.920879 1.930179 1.920905 1.918615 1.918159 1.920181 1.922310 1.923755
#> [99,] 1.934148 1.872489 1.933970 1.949508 1.952619 1.938870 1.924507 1.914836
#> [100,] 1.890552 1.941337 1.890694 1.878356 1.875907 1.886784 1.898297 1.906138
#> [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24]
#> [1,] 1.968939 1.881537 2.070936 1.963214 1.956351 2.095054 2.059798 1.940558
#> [2,] 1.968939 1.881537 2.070936 1.963214 1.956351 2.095054 2.059798 1.940558
#> [3,] 1.906408 1.904280 1.908778 1.906271 1.906107 1.909321 1.908524 1.905727
#> [4,] 1.906408 1.904280 1.908778 1.906271 1.906107 1.909321 1.908524 1.905727
#> [5,] 2.003597 1.982651 2.027156 2.002247 2.000625 2.032596 2.024627 1.996875
#> [6,] 1.974328 1.902200 2.057776 1.969621 1.963976 2.077398 2.048700 1.950971
#> [7,] 1.974328 1.902200 2.057776 1.969621 1.963976 2.077398 2.048700 1.950971
#> [8,] 1.974328 1.902200 2.057776 1.969621 1.963976 2.077398 2.048700 1.950971
#> [9,] 1.974328 1.902200 2.057776 1.969621 1.963976 2.077398 2.048700 1.950971
#> [10,] 2.046188 2.185537 1.901598 2.054852 2.065319 1.869917 1.916536 2.089753
#> [11,] 1.714245 1.627167 1.816590 1.708523 1.701668 1.840901 1.805377 1.685905
#> [12,] 1.793191 1.751998 1.840150 1.790520 1.787314 1.851087 1.835078 1.779914
#> [13,] 2.008769 1.926980 2.103831 2.003421 1.997009 2.126250 2.093470 1.982245
#> [14,] 1.978481 1.838214 2.147114 1.969172 1.958036 2.187755 2.128444 1.932501
#> [15,] 1.922789 1.697244 2.209051 1.907464 1.889198 2.280466 2.176558 1.847584
#> [16,] 1.976244 1.813708 2.174206 1.965396 1.952430 2.222314 2.152157 1.922745
#> [17,] 1.836041 1.605085 2.132187 1.820280 1.801505 2.206548 2.098414 1.758786
#> [18,] 1.573499 1.463378 1.705752 1.566194 1.557455 1.737604 1.691116 1.537413
#> [19,] 1.573499 1.463378 1.705752 1.566194 1.557455 1.737604 1.691116 1.537413
#> [20,] 2.230144 2.364310 2.089832 2.238515 2.248623 2.058930 2.104382 2.272196
#> [21,] 2.113508 2.315374 1.909572 2.125909 2.140917 1.865665 1.930373 2.176067
#> [22,] 2.113508 2.315374 1.909572 2.125909 2.140917 1.865665 1.930373 2.176067
#> [23,] 1.881867 2.081214 1.682476 1.894058 1.908823 1.639827 1.702716 1.943442
#> [24,] 1.782605 1.995855 1.572058 1.795570 1.811286 1.527407 1.593298 1.848194
#> [25,] 1.837472 1.931697 1.738053 1.843375 1.850498 1.716030 1.748406 1.867092
#> [26,] 1.837472 1.931697 1.738053 1.843375 1.850498 1.716030 1.748406 1.867092
#> [27,] 1.869398 1.874760 1.863452 1.869741 1.870154 1.862091 1.864086 1.871111
#> [28,] 2.100551 1.956911 2.272747 2.091031 2.079639 2.314171 2.253707 2.053508
#> [29,] 1.647051 1.610962 1.688144 1.644712 1.641905 1.697708 1.683708 1.635424
#> [30,] 2.105667 2.061749 2.155618 2.102822 2.099407 2.167235 2.150228 2.091522
#> [31,] 2.216787 2.120969 2.328462 2.210514 2.202994 2.354846 2.316275 2.185685
#> [32,] 2.216787 2.120969 2.328462 2.210514 2.202994 2.354846 2.316275 2.185685
#> [33,] 2.258818 2.062227 2.499587 2.245666 2.229952 2.558305 2.472702 2.193997
#> [34,] 1.645305 1.727021 1.558943 1.650427 1.656609 1.539792 1.567944 1.671006
#> [35,] 1.570397 1.628469 1.508231 1.574058 1.578473 1.494330 1.514750 1.588738
#> [36,] 1.801946 1.753693 1.857181 1.798812 1.795050 1.870080 1.851204 1.786373
#> [37,] 1.944575 1.856745 2.047160 1.938820 1.931921 2.071430 2.035954 1.916047
#> [38,] 1.903815 2.043939 1.759206 1.912506 1.923009 1.727634 1.774107 1.947544
#> [39,] 1.927167 2.067668 1.782071 1.935884 1.946419 1.750378 1.797027 1.971024
#> [40,] 1.953013 2.081409 1.819477 1.961004 1.970657 1.790173 1.833288 1.993185
#> [41,] 1.934242 2.074421 1.789416 1.942941 1.953453 1.757773 1.804348 1.978005
#> [42,] 1.848928 1.945240 1.747389 1.854959 1.862237 1.724908 1.757959 1.879195
#> [43,] 1.929852 1.968056 1.888227 1.932280 1.935203 1.878812 1.892629 1.941987
#> [44,] 1.995789 1.931638 2.069653 1.991612 1.986600 2.086967 2.061637 1.975047
#> [45,] 1.969692 1.841984 2.122174 1.961242 1.951129 2.158761 2.105345 1.927920
#> [46,] 2.021622 2.024679 2.018226 2.021818 2.022053 2.017449 2.018589 2.022599
#> [47,] 2.036332 2.066898 2.002863 2.038279 2.040622 1.995268 2.006410 2.046057
#> [48,] 1.939692 1.796554 2.112346 1.930179 1.918801 2.154044 2.093201 1.892722
#> [49,] 1.900786 2.000290 1.795908 1.907016 1.914535 1.772693 1.806825 1.932054
#> [50,] 1.780857 1.837282 1.720127 1.784423 1.788721 1.706499 1.726511 1.798709
#> [51,] 1.863114 1.826693 1.904481 1.860757 1.857926 1.914093 1.900021 1.851390
#> [52,] 2.062553 1.825165 2.363052 2.046442 2.027235 2.437893 2.328984 1.983464
#> [53,] 2.062553 1.825165 2.363052 2.046442 2.027235 2.437893 2.328984 1.983464
#> [54,] 1.848712 1.781028 1.927024 1.844295 1.838998 1.945440 1.918507 1.826794
#> [55,] 1.848712 1.781028 1.927024 1.844295 1.838998 1.945440 1.918507 1.826794
#> [56,] 1.888138 2.039028 1.733380 1.897471 1.908755 1.699728 1.749280 1.935132
#> [57,] 1.865101 1.695830 2.073310 1.853756 1.840203 2.124227 2.050014 1.809212
#> [58,] 1.892007 1.984790 1.793887 1.897825 1.904845 1.772120 1.804116 1.921194
#> [59,] 1.823653 1.881900 1.760978 1.827333 1.831770 1.746916 1.767566 1.842079
#> [60,] 1.999825 2.062312 1.932541 2.003775 2.008535 1.917438 1.939616 2.019598
#> [61,] 1.817613 1.916827 1.713276 1.823819 1.831310 1.690213 1.724124 1.848767
#> [62,] 1.817613 1.916827 1.713276 1.823819 1.831310 1.690213 1.724124 1.848767
#> [63,] 1.817613 1.916827 1.713276 1.823819 1.831310 1.690213 1.724124 1.848767
#> [64,] 1.820559 1.769219 1.879418 1.817222 1.813217 1.893177 1.873043 1.803982
#> [65,] 1.803158 1.630789 2.016375 1.791576 1.777747 2.068705 1.992457 1.746145
#> [66,] 1.803158 1.630789 2.016375 1.791576 1.777747 2.068705 1.992457 1.746145
#> [67,] 1.930781 1.773318 2.122413 1.920276 1.907718 2.168959 2.101077 1.878965
#> [68,] 1.851778 1.661485 2.089158 1.838945 1.823630 2.147731 2.062425 1.788669
#> [69,] 1.828766 1.646445 2.055382 1.816490 1.801837 2.111170 2.029904 1.768370
#> [70,] 1.910048 1.713910 2.154698 1.896821 1.881037 2.215062 2.127148 1.845003
#> [71,] 1.790979 1.567799 2.076746 1.775757 1.757624 2.148437 2.044178 1.716357
#> [72,] 1.747174 1.602845 1.923036 1.737540 1.726025 1.965784 1.903444 1.699662
#> [73,] 1.761321 1.626362 1.924637 1.752339 1.741599 1.964162 1.906501 1.716989
#> [74,] 1.941903 2.130203 1.751940 1.953464 1.967456 1.711078 1.771303 2.000231
#> [75,] 2.003902 2.092354 1.909900 2.009461 2.016165 1.888979 1.919723 2.031772
#> [76,] 2.036042 2.027349 2.045756 2.035484 2.034812 2.047990 2.044717 2.033258
#> [77,] 2.056546 2.014706 2.104108 2.053837 2.050584 2.115166 2.098978 2.043073
#> [78,] 2.051809 1.999186 2.111973 2.048393 2.044293 2.126012 2.105466 2.034833
#> [79,] 1.955108 1.911995 2.004207 1.952314 1.948960 2.015635 1.998906 1.941217
#> [80,] 2.067949 2.014612 2.128938 2.064487 2.060331 2.143172 2.122342 2.050742
#> [81,] 1.855566 2.066793 1.645873 1.868439 1.884039 1.601242 1.667082 1.920649
#> [82,] 1.953366 2.250185 1.668967 1.971168 1.992790 1.609837 1.697244 2.043753
#> [83,] 1.932011 2.193963 1.677208 1.947829 1.967023 1.623700 1.702727 2.012181
#> [84,] 1.932011 2.193963 1.677208 1.947829 1.967023 1.623700 1.702727 2.012181
#> [85,] 1.925639 1.693868 2.220887 1.909866 1.891070 2.294716 2.187317 1.848269
#> [86,] 1.925373 2.134928 1.716353 1.938173 1.953677 1.671726 1.737543 1.990043
#> [87,] 1.878699 2.011894 1.740877 1.886971 1.896965 1.710733 1.755096 1.920303
#> [88,] 1.878699 2.011894 1.740877 1.886971 1.896965 1.710733 1.755096 1.920303
#> [89,] 1.924390 1.964724 1.880498 1.926952 1.930037 1.870577 1.885136 1.937197
#> [90,] 1.786895 1.738749 1.842018 1.783768 1.780014 1.854893 1.836052 1.771356
#> [91,] 1.828826 1.876377 1.777348 1.831839 1.835469 1.765752 1.782774 1.843899
#> [92,] 1.984856 2.001255 1.966773 1.985904 1.987165 1.962651 1.968696 1.990086
#> [93,] 1.984856 2.001255 1.966773 1.985904 1.987165 1.962651 1.968696 1.990086
#> [94,] 1.792677 1.850374 1.730611 1.796323 1.800717 1.716687 1.737134 1.810929
#> [95,] 1.816246 1.866271 1.762176 1.819414 1.823230 1.750008 1.767871 1.832095
#> [96,] 2.009541 1.965534 2.059650 2.006689 2.003265 2.071312 2.054241 1.995363
#> [97,] 1.921470 1.924414 1.918201 1.921659 1.921886 1.917453 1.918550 1.922411
#> [98,] 1.921470 1.924414 1.918201 1.921659 1.921886 1.917453 1.918550 1.922411
#> [99,] 1.930157 1.910438 1.952330 1.928886 1.927359 1.957449 1.949951 1.923829
#> [100,] 1.893750 1.909728 1.876134 1.894770 1.895999 1.872118 1.878007 1.898844
#> [,25] [,26] [,27] [,28] [,29] [,30] [,31] [,32]
#> [1,] 2.089734 1.990658 2.185304 2.093584 1.897230 2.014110 1.922368 2.081056
#> [2,] 2.089734 1.990658 2.185304 2.093584 1.897230 2.014110 1.922368 2.081056
#> [3,] 1.909202 1.906922 1.911303 1.909288 1.904669 1.907472 1.905286 1.909007
#> [4,] 1.909202 1.906922 1.911303 1.909288 1.904669 1.907472 1.905286 1.909007
#> [5,] 2.031400 2.008691 2.052535 2.032266 1.986466 2.014144 1.992527 2.029445
#> [6,] 2.073073 1.992161 2.150468 2.076203 1.915194 2.011378 1.935969 2.066015
#> [7,] 2.073073 1.992161 2.150468 2.076203 1.915194 2.011378 1.935969 2.066015
#> [8,] 2.073073 1.992161 2.150468 2.076203 1.915194 2.011378 1.935969 2.066015
#> [9,] 2.073073 1.992161 2.150468 2.076203 1.915194 2.011378 1.935969 2.066015
#> [10,] 1.876828 2.013874 1.758915 1.871822 2.159356 1.979939 2.118505 1.888194
#> [11,] 1.835535 1.735974 1.932238 1.839419 1.642758 1.759476 1.667774 1.826787
#> [12,] 1.848680 1.803288 1.891480 1.850422 1.759461 1.814130 1.771355 1.844747
#> [13,] 2.121307 2.029046 2.209954 2.124885 1.941688 2.050919 1.965228 2.113241
#> [14,] 2.178766 2.013947 2.342411 2.185271 1.863107 2.052511 1.903250 2.164133
#> [15,] 2.264590 1.981637 2.560687 2.276074 1.736426 2.046450 1.800384 2.238843
#> [16,] 2.211660 2.017652 2.406731 2.219370 1.842406 2.062817 1.888821 2.194333
#> [17,] 2.190001 1.896658 2.500029 2.201970 1.645045 1.963581 1.710423 2.163185
#> [18,] 1.730560 1.601325 1.858744 1.735658 1.482929 1.631576 1.514450 1.719091
#> [19,] 1.730560 1.601325 1.858744 1.735658 1.482929 1.631576 1.514450 1.719091
#> [20,] 2.065676 2.198886 1.950180 2.060789 2.339179 2.165999 2.299896 2.076765
#> [21,] 1.875219 2.067434 1.714092 1.868296 2.277059 2.019355 2.217631 1.890961
#> [22,] 1.875219 2.067434 1.714092 1.868296 2.277059 2.019355 2.217631 1.890961
#> [23,] 1.649098 1.836638 1.493415 1.642380 2.043234 1.789551 1.984455 1.664386
#> [24,] 1.537101 1.734595 1.375217 1.530076 1.955026 1.684767 1.892021 1.553101
#> [25,] 1.720842 1.815404 1.638142 1.717356 1.914107 1.792138 1.886558 1.728746
#> [26,] 1.720842 1.815404 1.638142 1.717356 1.914107 1.792138 1.886558 1.728746
#> [27,] 1.862390 1.868105 1.857144 1.862174 1.873778 1.866725 1.872223 1.862879
#> [28,] 2.305011 2.136810 2.471551 2.311640 1.982431 2.176210 2.023560 2.290097
#> [29,] 1.695603 1.655891 1.733007 1.697127 1.617504 1.665381 1.627926 1.692164
#> [30,] 2.164679 2.116417 2.210084 2.166529 2.069713 2.127955 2.082399 2.160501
#> [31,] 2.349027 2.240580 2.453506 2.353239 2.138181 2.266263 2.165746 2.339534
#> [32,] 2.349027 2.240580 2.453506 2.353239 2.138181 2.266263 2.165746 2.339534
#> [33,] 2.545295 2.309064 2.784097 2.554709 2.096863 2.363939 2.152951 2.524144
#> [34,] 1.543977 1.626148 1.472001 1.540946 1.711776 1.605943 1.687890 1.550851
#> [35,] 1.497371 1.556679 1.444768 1.495169 1.617688 1.542167 1.600749 1.502363
#> [36,] 1.867240 1.813802 1.917830 1.869296 1.762422 1.826546 1.776345 1.862601
#> [37,] 2.066077 1.966412 2.162295 2.069952 1.872509 1.989995 1.897767 2.057344
#> [38,] 1.734517 1.871425 1.617344 1.729530 2.017558 1.837455 1.976444 1.745843
#> [39,] 1.757289 1.894678 1.639624 1.752282 2.041223 1.860597 2.000003 1.768658
#> [40,] 1.796567 1.923198 1.687367 1.791935 2.057308 1.891870 2.019682 1.807081
#> [41,] 1.764673 1.901818 1.647169 1.759674 2.048041 1.867803 2.006918 1.776024
#> [42,] 1.729819 1.826382 1.645438 1.726262 1.927255 1.802616 1.899092 1.737888
#> [43,] 1.880875 1.920733 1.844911 1.879381 1.961012 1.911046 1.949899 1.884257
#> [44,] 2.083153 2.011606 2.151272 2.085914 1.943217 2.028630 1.961709 2.076925
#> [45,] 2.150674 2.001853 2.297451 2.156527 1.864709 2.036768 1.901301 2.137502
#> [46,] 2.017620 2.020884 2.014619 2.017496 2.024119 2.020096 2.023233 2.017899
#> [47,] 1.996934 2.029015 1.967846 1.995728 2.061273 2.021232 2.052389 1.999662
#> [48,] 2.144818 1.975953 2.313018 2.151495 1.821924 2.015414 1.862866 2.129803
#> [49,] 1.777764 1.877496 1.690635 1.774090 1.981707 1.852948 1.952610 1.786097
#> [50,] 1.709482 1.767485 1.657764 1.707321 1.826829 1.753321 1.810384 1.714375
#> [51,] 1.911978 1.872023 1.949517 1.913509 1.833302 1.881580 1.843824 1.908522
#> [52,] 2.421259 2.124397 2.731119 2.433292 1.866447 2.192467 1.933794 2.394279
#> [53,] 2.421259 2.124397 2.731119 2.433292 1.866447 2.192467 1.933794 2.394279
#> [54,] 1.941381 1.865447 2.014021 1.944319 1.793221 1.883481 1.812716 1.934757
#> [55,] 1.941381 1.865447 2.014021 1.944319 1.793221 1.883481 1.812716 1.934757
#> [56,] 1.707061 1.853388 1.582577 1.701748 2.010553 1.816996 1.966238 1.719131
#> [57,] 2.112941 1.908473 2.320503 2.121107 1.725602 1.955889 1.773860 2.094598
#> [58,] 1.776877 1.870247 1.695040 1.773431 1.967485 1.847293 1.940367 1.784690
#> [59,] 1.749994 1.809852 1.696637 1.747765 1.871108 1.795234 1.854131 1.755043
#> [60,] 1.920744 1.985014 1.863414 1.918349 2.050737 1.969322 2.032527 1.926167
#> [61,] 1.695251 1.794423 1.608799 1.691602 1.898283 1.769991 1.869259 1.703528
#> [62,] 1.695251 1.794423 1.608799 1.691602 1.898283 1.769991 1.869259 1.703528
#> [63,] 1.695251 1.794423 1.608799 1.691602 1.898283 1.769991 1.869259 1.703528
#> [64,] 1.890147 1.833185 1.944154 1.892340 1.778500 1.846761 1.793310 1.885199
#> [65,] 2.057100 1.847468 2.271071 2.065496 1.661039 1.895974 1.710132 2.038245
#> [66,] 2.057100 1.847468 2.271071 2.065496 1.661039 1.895974 1.710132 2.038245
#> [67,] 2.158652 1.970879 2.347308 2.166111 1.801129 2.014606 1.846102 2.141888
#> [68,] 2.134730 1.900934 2.375323 2.144136 1.694769 1.954853 1.748891 2.113622
#> [69,] 2.098792 1.875765 2.327501 2.107748 1.678380 1.927273 1.730267 2.078689
#> [70,] 2.201664 1.960712 2.449600 2.211357 1.748218 2.016283 1.804002 2.179911
#> [71,] 2.132486 1.849506 2.431149 2.144024 1.606435 1.914102 1.669627 2.106635
#> [72,] 1.956317 1.783953 2.129694 1.963167 1.628324 1.824072 1.669537 1.940920
#> [73,] 1.955414 1.795575 2.115125 1.961744 1.650251 1.832879 1.688833 1.941181
#> [74,] 1.719968 1.898962 1.570129 1.713526 2.094444 1.854166 2.038998 1.734618
#> [75,] 1.893553 1.983098 1.814691 1.890240 2.075887 1.961126 2.050055 1.901063
#> [76,] 2.047499 2.038148 2.056146 2.047855 2.028936 2.040399 2.031455 2.046697
#> [77,] 2.112733 2.066785 2.155938 2.114494 2.022295 2.077772 2.034382 2.108757
#> [78,] 2.122921 2.064730 2.177945 2.125159 2.008710 2.078614 2.023897 2.117873
#> [79,] 2.013120 1.965670 2.057819 2.014941 1.919810 1.977008 1.932260 2.009011
#> [80,] 2.140038 2.081047 2.195827 2.142307 2.024265 2.095121 2.039658 2.134920
#> [81,] 1.610937 1.807856 1.448661 1.603911 2.026434 1.758275 1.964080 1.626932
#> [82,] 1.622639 1.887731 1.411618 1.613359 2.192707 1.820092 2.104605 1.643811
#> [83,] 1.635301 1.873560 1.442825 1.626892 2.143524 1.813110 2.065952 1.654467
#> [84,] 1.635301 1.873560 1.442825 1.626892 2.143524 1.813110 2.065952 1.654467
#> [85,] 2.278297 1.986239 2.585013 2.290174 1.734073 2.053042 1.799755 2.251678
#> [86,] 1.681425 1.877907 1.518757 1.674397 2.094961 1.828524 2.033146 1.697420
#> [87,] 1.717307 1.847863 1.605279 1.712544 1.986843 1.815502 1.947779 1.728121
#> [88,] 1.717307 1.847863 1.605279 1.712544 1.986843 1.815502 1.947779 1.728121
#> [89,] 1.872751 1.914770 1.834881 1.871177 1.957283 1.904552 1.945549 1.876314
#> [90,] 1.852058 1.798727 1.902555 1.854110 1.747458 1.811444 1.761349 1.847428
#> [91,] 1.768292 1.817519 1.724150 1.766453 1.867587 1.805525 1.853741 1.772456
#> [92,] 1.963555 1.980914 1.947708 1.962901 1.998245 1.976715 1.993485 1.965037
#> [93,] 1.963555 1.980914 1.947708 1.962901 1.998245 1.976715 1.993485 1.965037
#> [94,] 1.719735 1.779009 1.666911 1.717528 1.839683 1.764532 1.822866 1.724735
#> [95,] 1.752673 1.804362 1.706394 1.750743 1.857019 1.791760 1.842449 1.757042
#> [96,] 2.068746 2.020321 2.114355 2.070604 1.973511 2.031893 1.986220 2.064552
#> [97,] 1.917617 1.920760 1.914728 1.917498 1.923875 1.920001 1.923022 1.917886
#> [98,] 1.917617 1.920760 1.914728 1.917498 1.923875 1.920001 1.923022 1.917886
#> [99,] 1.956324 1.934952 1.976210 1.957139 1.914030 1.940084 1.919736 1.954484
#> [100,] 1.872999 1.889909 1.857565 1.872362 1.906795 1.885818 1.902156 1.874442
#> [,33] [,34] [,35] [,36] [,37] [,38] [,39] [,40]
#> [1,] 1.874388 1.748077 2.111971 1.782406 2.022963 2.086476 1.761394 2.138572
#> [2,] 1.874388 1.748077 2.111971 1.782406 2.022963 2.086476 1.761394 2.138572
#> [3,] 1.904102 1.900837 1.909699 1.901747 1.907678 1.909129 1.901192 1.910287
#> [4,] 1.904102 1.900837 1.909699 1.901747 1.907678 1.909129 1.901192 1.910287
#> [5,] 1.980904 1.949174 2.036383 1.957968 2.016189 2.030667 1.952601 2.042291
#> [6,] 1.896273 1.790879 2.091137 1.819656 2.018622 2.070423 1.802054 2.112702
#> [7,] 1.896273 1.790879 2.091137 1.819656 2.018622 2.070423 1.802054 2.112702
#> [8,] 1.896273 1.790879 2.091137 1.819656 2.018622 2.070423 1.802054 2.112702
#> [9,] 1.896273 1.790879 2.091137 1.819656 2.018622 2.070423 1.802054 2.112702
#> [10,] 2.197644 2.431761 1.848223 2.364097 1.967378 1.881082 2.405128 1.814959
#> [11,] 1.620070 1.495361 1.857978 1.529127 1.768359 1.832250 1.508449 1.884872
#> [12,] 1.748587 1.687250 1.858722 1.704129 1.818207 1.847204 1.693817 1.870668
#> [13,] 1.920275 1.801461 2.141963 1.833823 2.059171 2.118279 1.814022 2.166649
#> [14,] 1.826914 1.631731 2.216437 1.683943 2.067143 2.173267 1.651911 2.261825
#> [15,] 1.679580 1.386569 2.331426 1.462687 2.071265 2.254901 1.415790 2.413010
#> [16,] 1.800703 1.578234 2.256356 1.637331 2.079990 2.205147 1.601038 2.310375
#> [17,] 1.587094 1.290905 2.259721 1.367420 1.989247 2.179907 1.320242 2.345035
#> [18,] 1.454502 1.301065 1.760079 1.342133 1.643052 1.726250 1.316940 1.795636
#> [19,] 1.454502 1.301065 1.760079 1.342133 1.643052 1.726250 1.316940 1.795636
#> [20,] 2.375920 2.599054 2.037734 2.534826 2.153810 2.069827 2.573798 2.005180
#> [21,] 2.333152 2.684204 1.835762 2.581347 2.001638 1.881106 2.643586 1.790174
#> [22,] 2.333152 2.684204 1.835762 2.581347 2.001638 1.881106 2.643586 1.790174
#> [23,] 2.098860 2.450032 1.610841 2.346616 1.772230 1.654814 2.409143 1.566745
#> [24,] 2.014856 2.396881 1.497140 2.283636 1.666477 1.543082 2.352034 1.451224
#> [25,] 1.939814 2.094740 1.700897 2.050349 1.783501 1.723801 2.077304 1.677610
#> [26,] 1.939814 2.094740 1.700897 2.050349 1.783501 1.723801 2.077304 1.677610
#> [27,] 1.875210 1.883481 1.861147 1.881171 1.866209 1.862573 1.882579 1.859678
#> [28,] 1.945323 1.744718 2.343388 1.798463 2.191151 2.299407 1.765498 2.389595
#> [29,] 1.607972 1.554157 1.704383 1.568975 1.668949 1.694313 1.559923 1.714824
#> [30,] 2.058108 1.992522 2.175341 2.010592 2.132292 2.163111 1.999555 2.188017
#> [31,] 2.113125 1.974423 2.373348 2.012146 2.275956 2.345463 1.989059 2.402434
#> [32,] 2.113125 1.974423 2.373348 2.012146 2.275956 2.345463 1.989059 2.402434
#> [33,] 2.046542 1.779343 2.599901 1.850110 2.384824 2.537343 1.806631 2.665986
#> [34,] 1.734055 1.868135 1.526629 1.829749 1.598440 1.546551 1.853061 1.506365
#> [35,] 1.633435 1.727161 1.484750 1.700505 1.536767 1.499241 1.716709 1.469961
#> [36,] 1.749706 1.678233 1.879093 1.697859 1.831342 1.865499 1.685865 1.893206
#> [37,] 1.849564 1.722772 2.088458 1.757217 1.998900 2.062798 1.736133 2.115237
#> [38,] 2.056147 2.293216 1.706037 2.224508 1.824892 1.738756 2.266155 1.672962
#> [39,] 2.079904 2.317400 1.728696 2.248593 1.847992 1.761543 2.290302 1.695485
#> [40,] 2.092552 2.307620 1.770097 2.245536 1.880269 1.800502 2.283191 1.739299
#> [41,] 2.086627 2.323449 1.736124 2.254852 1.855222 1.768921 2.296435 1.702959
#> [42,] 1.953540 2.112064 1.709463 2.066623 1.793795 1.732841 2.094213 1.685701
#> [43,] 1.971294 2.031573 1.872300 2.014586 1.907430 1.882143 2.024927 1.862209
#> [44,] 1.926354 1.832039 2.099079 1.857857 2.035043 2.080816 1.842071 2.118070
#> [45,] 1.831660 1.652393 2.184546 1.700525 2.050000 2.145725 1.671012 2.225289
#> [46,] 2.024935 2.029643 2.016909 2.028329 2.019801 2.017724 2.029130 2.016069
#> [47,] 2.069482 2.117403 1.990010 2.103934 2.018325 1.997956 2.112136 1.981854
#> [48,] 1.785043 1.586699 2.183492 1.639663 2.030394 2.139176 1.607161 2.230125
#> [49,] 2.008867 2.172700 1.756743 2.125731 1.843837 1.780884 2.154249 1.732206
#> [50,] 1.842094 1.932531 1.697096 1.906883 1.748046 1.711315 1.922481 1.682566
#> [51,] 1.823672 1.769183 1.920798 1.784206 1.885172 1.910681 1.775030 1.931280
#> [52,] 1.806548 1.497118 2.491269 1.577617 2.218518 2.411107 1.528032 2.576673
#> [53,] 1.806548 1.497118 2.491269 1.577617 2.218518 2.411107 1.528032 2.576673
#> [54,] 1.775467 1.676578 1.958335 1.703577 1.890279 1.938895 1.687063 1.978574
#> [55,] 1.775467 1.676578 1.958335 1.703577 1.890279 1.938895 1.687063 1.978574
#> [56,] 2.052215 2.309542 1.676738 2.234727 1.803551 1.711577 2.280053 1.641576
#> [57,] 1.682355 1.453546 2.160329 1.514005 1.973948 2.106044 1.476847 2.217739
#> [58,] 1.992774 2.144891 1.757156 2.101355 1.838770 1.779802 2.127795 1.734118
#> [59,] 1.886868 1.980257 1.737214 1.953768 1.789789 1.751886 1.969877 1.722223
#> [60,] 2.067639 2.167734 1.907017 2.139354 1.963478 1.922776 2.156614 1.890910
#> [61,] 1.925388 2.089215 1.674377 2.042193 1.760927 1.698350 2.070737 1.650025
#> [62,] 1.925388 2.089215 1.674377 2.042193 1.760927 1.698350 2.070737 1.650025
#> [63,] 1.925388 2.089215 1.674377 2.042193 1.760927 1.698350 2.070737 1.650025
#> [64,] 1.764980 1.689085 1.902794 1.709908 1.851871 1.888290 1.697181 1.917857
#> [65,] 1.617108 1.385772 2.105851 1.446713 1.914466 2.050009 1.409242 2.164994
#> [66,] 1.617108 1.385772 2.105851 1.446713 1.914466 2.050009 1.409242 2.164994
#> [67,] 1.760713 1.544969 2.201890 1.602304 2.031230 2.152351 1.567095 2.254138
#> [68,] 1.646447 1.393766 2.189380 1.460026 1.975438 2.126791 1.419258 2.255812
#> [69,] 1.632010 1.388805 2.150811 1.452706 1.946926 2.091231 1.413400 2.213990
#> [70,] 1.698409 1.437937 2.257984 1.506244 2.037498 2.193482 1.464216 2.326444
#> [71,] 1.550400 1.263669 2.199685 1.337798 1.938869 2.122755 1.292096 2.281887
#> [72,] 1.591299 1.393854 1.996036 1.446292 1.839328 1.950529 1.414088 2.044045
#> [73,] 1.615527 1.429283 1.992093 1.478929 1.847048 1.950065 1.448456 2.036355
#> [74,] 2.146798 2.474850 1.683257 2.378663 1.837664 1.725447 2.436859 1.640856
#> [75,] 2.099945 2.244041 1.874582 2.202906 1.952960 1.896366 2.227898 1.852394
#> [76,] 2.026621 2.013340 2.049543 2.017034 2.041243 2.047198 2.014781 2.051962
#> [77,] 2.011237 1.948709 2.122881 1.965942 2.081902 2.111241 1.955416 2.134943
#> [78,] 1.994836 1.916768 2.135819 1.938218 2.083838 2.121027 1.925110 2.151171
#> [79,] 1.908424 1.844146 2.023612 1.861844 1.981271 2.011578 1.851033 2.036089
#> [80,] 2.010203 1.931092 2.153114 1.952827 2.100416 2.138117 1.939545 2.168680
#> [81,] 2.085561 2.461292 1.570955 2.350220 1.740059 1.616916 2.417336 1.524955
#> [82,] 2.277034 2.829856 1.570002 2.663485 1.795390 1.630546 2.763729 1.509958
#> [83,] 2.217479 2.695908 1.587541 2.553013 1.790976 1.642462 2.639217 1.532860
#> [84,] 2.217479 2.695908 1.587541 2.553013 1.790976 1.642462 2.639217 1.532860
#> [85,] 1.675751 1.376046 2.347437 1.453747 2.078634 2.268279 1.405861 2.431909
#> [86,] 2.153503 2.523979 1.641413 2.414724 1.810366 1.687405 2.480767 1.595325
#> [87,] 2.023482 2.248055 1.690103 2.183058 1.803528 1.721354 2.222463 1.658489
#> [88,] 2.023482 2.248055 1.690103 2.183058 1.803528 1.721354 2.222463 1.658489
#> [89,] 1.968144 2.031882 1.863717 2.013909 1.900740 1.874087 2.024849 1.853091
#> [90,] 1.734771 1.663473 1.863888 1.683048 1.816230 1.850320 1.671085 1.877975
#> [91,] 1.880420 1.956065 1.757742 1.934677 1.801053 1.769852 1.947690 1.745349
#> [92,] 2.002636 2.028115 1.959793 2.020980 1.975144 1.964111 2.025328 1.955353
#> [93,] 2.002636 2.028115 1.959793 2.020980 1.975144 1.964111 2.025328 1.955353
#> [94,] 1.855296 1.947832 1.707082 1.921582 1.759141 1.721608 1.937546 1.692240
#> [95,] 1.870528 1.950272 1.741606 1.927706 1.787064 1.754310 1.941434 1.728611
#> [96,] 1.961888 1.896263 2.079452 1.914333 2.036243 2.067172 1.903294 2.092184
#> [97,] 1.924661 1.929194 1.916933 1.927929 1.919718 1.917718 1.928700 1.916124
#> [98,] 1.924661 1.929194 1.916933 1.927929 1.919718 1.917718 1.928700 1.916124
#> [99,] 1.908794 1.878913 1.961013 1.887195 1.942009 1.955634 1.882141 1.966572
#> [100,] 1.911074 1.935905 1.869334 1.928951 1.884288 1.873540 1.933188 1.865010
#>
#> attr(,"n_draws")
#> [1] 100
#> attr(,"n_obs")
#> [1] 40
#> attr(,"class")
#> [1] "ratiod_fitted_draws"
# }