multi.impute performs multiple imputation on a given quantitative proteomics dataset.

multi.impute(data, conditions, nb.imp = NULL, method, parallel = FALSE)

Arguments

data

A quantitative matrix to be imputed, with proteins/peptides in rows and samples in columns.

conditions

A vector of length the number of samples where each element corresponds to the condition the sample belongs to.

nb.imp

The number of imputation to perform.

method

A single character string describing the imputation method to be used. See details.

parallel

Logical, whether or not use parallel computing (with foreach).

Value

A numeric array of dimension c(dim(data),nb.imp).

Details

Multiple imputation consists in imputing several times a given dataset using a given method. Here, imputation methods can be chosen either from mice, imp4p-package or impute.knn:

  • "pmm", "midastouch", "sample", "cart", "rf","mean", "norm", "norm.nob", "norm.boot", "norm.predict": imputation methods as described in mice.

  • "RF" imputes missing values using random forests algorithm as described in impute.RF.

  • "MLE" imputes missing values using maximum likelihood estimation as described in impute.mle.

  • "PCA" imputes missing values using principal component analysis as described in impute.PCA.

  • "SLSA" imputes missing values using structured least squares algorithm as described in impute.slsa.

  • "kNN" imputes missing values using k nearest neighbors as described in impute.knn.

References

M. Chion, Ch. Carapito and F. Bertrand (2021). Accounting for multiple imputation-induced variability for differential analysis in mass spectrometry-based label-free quantitative proteomics. arxiv:2108.07086. https://arxiv.org/abs/2108.07086.

Examples

library(mi4p) data(datasim) multi.impute(data = datasim[,-1], conditions = attr(datasim,"metadata")$Condition, method = "MLE")
#> , , 1 #> #> X1 X2 X3 X4 X5 X6 X7 #> [1,] 99.62136 97.36890 100.28075 99.37889 98.48006 200.28026 199.80422 #> [2,] 99.86342 101.27309 100.86058 99.19046 99.71866 199.26177 200.39344 #> [3,] 100.21425 100.30241 99.07865 98.51259 100.02675 199.21966 202.28551 #> [4,] 99.84381 100.20091 101.18119 99.05420 100.18467 200.06153 199.34245 #> [5,] 100.36412 101.70192 100.59543 99.49536 100.65887 199.25196 199.47146 #> [6,] 100.70214 101.06663 101.65048 99.11372 100.94608 201.74710 198.70242 #> [7,] 99.65595 99.31420 100.02326 101.56787 100.01322 199.91695 199.59548 #> [8,] 97.98251 97.59303 100.60547 97.81128 101.07808 199.94233 199.46429 #> [9,] 99.56975 100.09034 99.30467 99.69204 100.78160 200.79724 199.30691 #> [10,] 99.66258 99.27055 98.28584 99.76234 100.15253 199.05707 200.98124 #> [11,] 100.67448 98.76728 99.03524 100.05411 99.65590 99.17835 98.58828 #> [12,] 99.70519 101.44341 100.27238 100.05246 100.22091 100.72780 99.40128 #> [13,] 100.22737 98.20463 100.17269 99.25860 97.97791 100.25975 100.44203 #> [14,] 99.58471 99.56201 100.68163 100.80704 101.25322 100.22989 101.69888 #> [15,] 98.88906 100.91857 100.40506 98.21385 99.92004 101.20937 101.01489 #> [16,] 99.72203 100.13020 100.38206 100.30495 100.50996 99.77492 101.92973 #> [17,] 98.66712 99.87493 98.73070 100.21022 100.16050 98.70055 99.66331 #> [18,] 101.74826 99.50606 99.06766 100.88594 100.89332 98.20664 99.92798 #> [19,] 100.37070 99.92320 101.00412 98.77845 99.51780 100.51887 100.65552 #> [20,] 99.67479 99.88322 99.71573 98.72810 100.61274 97.97179 98.50479 #> [21,] 101.22486 101.49935 100.51086 100.64889 101.37527 100.31040 99.45380 #> [22,] 100.94777 100.74609 98.16971 100.51673 100.34439 100.46798 101.21767 #> [23,] 99.23466 98.98854 97.70679 99.66054 99.63939 100.49429 99.84157 #> [24,] 100.73409 100.11633 99.34654 99.01384 101.20664 99.83183 100.18725 #> [25,] 99.42769 101.44334 100.31472 99.85531 100.97558 98.07407 99.12720 #> [26,] 97.98284 98.58111 100.72714 100.77219 99.50288 101.16027 97.92605 #> [27,] 100.77200 99.87912 100.64746 100.26483 99.76495 101.61521 100.04600 #> [28,] 101.21120 101.21477 98.66129 100.28078 99.24424 99.46075 101.14263 #> [29,] 99.89863 100.70173 99.77229 98.53766 100.04275 99.75579 101.32759 #> [30,] 100.06061 100.37637 99.99705 100.47969 99.08339 99.36436 99.03801 #> [31,] 98.30618 98.66601 99.96445 100.75600 101.78651 99.57463 97.63290 #> [32,] 99.20158 99.72202 100.56677 101.86184 98.29285 100.69424 99.51856 #> [33,] 102.69643 99.43994 99.81578 100.45453 100.66046 101.42928 100.05872 #> [34,] 99.64883 99.69805 100.82740 100.94480 101.13936 100.43190 98.86824 #> [35,] 100.52176 100.35496 101.18851 100.98460 99.39586 100.72377 100.78591 #> [36,] 99.14024 100.18434 101.25128 99.24923 99.25243 101.26967 99.00934 #> [37,] 98.71673 100.27563 101.26047 100.17444 100.22413 99.39826 101.40395 #> [38,] 99.60300 99.96101 97.69730 100.69089 100.56642 100.59508 100.64289 #> [39,] 100.95813 99.81860 101.42839 101.09042 99.95280 100.05541 100.25045 #> [40,] 100.94308 101.05768 101.33514 98.67754 100.78029 101.33639 99.06949 #> [41,] 100.08233 99.25436 100.18024 99.49072 101.11272 99.46501 99.42307 #> [42,] 98.08118 98.05493 101.38092 98.98588 100.38570 101.43547 98.73351 #> [43,] 100.73244 101.01459 99.31688 100.70114 99.63081 100.12055 98.27283 #> [44,] 101.37057 100.74243 100.25070 100.36574 100.12416 99.61283 99.72949 #> [45,] 100.57588 98.59631 99.63513 99.14692 100.54662 100.38188 99.85310 #> [46,] 102.32726 100.72725 100.83068 100.69548 99.14269 99.33752 100.98748 #> [47,] 100.66396 101.24997 102.74212 100.21230 100.15852 100.11243 98.59912 #> [48,] 101.18708 99.14272 100.97788 100.43447 100.20844 98.35361 98.66029 #> [49,] 100.29781 100.05292 101.81405 99.51584 100.27605 99.18655 99.93729 #> [50,] 98.90440 98.88690 100.10132 98.60870 99.54416 100.53822 99.79307 #> [51,] 99.13211 101.27766 100.35375 99.01066 98.65777 99.59689 101.53856 #> [52,] 99.68964 98.53949 101.66643 99.63273 99.82911 100.20886 99.59244 #> [53,] 100.20759 100.75656 101.83451 100.83636 101.20224 101.46609 99.25368 #> [54,] 100.81381 100.86708 98.98648 97.94897 99.05776 100.18764 101.23422 #> [55,] 97.62262 100.96918 100.88207 99.72121 101.16145 98.67508 99.75286 #> [56,] 99.87966 99.11009 100.62407 101.51961 99.07788 98.87347 100.09431 #> [57,] 100.81265 101.40022 101.64736 100.72335 98.98892 99.42230 100.87794 #> [58,] 99.42476 100.95793 98.97635 101.74751 99.12457 100.38954 98.87197 #> [59,] 98.54276 100.53223 100.52489 100.72203 100.67585 98.81364 98.79910 #> [60,] 101.65724 100.08529 100.82927 99.95037 98.87261 99.72656 99.90579 #> [61,] 100.22370 99.10401 101.10075 100.55131 98.18042 98.01345 99.29028 #> [62,] 100.01483 98.93389 101.42779 99.12747 100.93053 100.67624 98.69724 #> [63,] 98.03262 98.51941 100.64758 98.84928 100.03873 100.56751 99.63268 #> [64,] 102.48775 100.54013 100.22541 101.07624 100.45880 100.28039 98.74043 #> [65,] 101.08856 99.96487 99.35269 100.88600 99.88268 99.03970 100.72421 #> [66,] 99.28101 100.31202 99.58869 98.36661 98.88559 100.42823 100.11403 #> [67,] 99.94741 99.59370 101.31019 102.00179 99.71711 100.71517 99.53402 #> [68,] 99.11708 99.87691 100.41860 100.05917 98.87877 100.05524 100.47340 #> [69,] 99.83367 99.48486 100.47715 100.42913 99.81200 99.04303 99.16834 #> [70,] 100.26151 98.90834 99.27541 101.30210 100.63369 98.32762 99.53554 #> [71,] 101.42782 99.48918 99.47898 99.69239 101.13070 101.38540 97.77069 #> [72,] 98.37754 97.58114 98.54586 99.71640 99.18235 102.10023 101.28421 #> [73,] 98.43999 102.07782 99.31780 97.19951 100.03653 98.74474 98.03535 #> [74,] 99.21218 99.76310 100.58792 100.51794 98.67775 100.30000 100.60982 #> [75,] 100.31827 100.87590 100.00028 99.41642 99.73776 100.05191 100.53130 #> [76,] 101.33601 99.30129 101.45846 100.57889 99.82176 99.35001 101.78012 #> [77,] 98.71098 98.45163 100.50164 99.49692 100.56487 97.99646 101.16713 #> [78,] 100.54735 100.13119 99.49891 101.94890 100.94310 99.79346 102.36457 #> [79,] 100.62054 99.90850 99.83848 101.83898 99.71147 98.91599 100.72897 #> [80,] 100.87418 99.07000 99.39502 99.07229 99.84750 98.21041 98.99321 #> [81,] 100.58658 100.55023 98.79955 101.56748 99.77204 101.46388 99.25508 #> [82,] 100.65936 99.83262 100.37488 100.96218 98.40581 101.40310 100.64276 #> [83,] 101.05624 99.81584 97.94433 100.75954 99.44069 100.06661 99.26098 #> [84,] 99.76635 99.48239 100.50835 97.81779 99.47231 99.00190 101.11238 #> [85,] 99.61604 99.94210 99.92007 100.83718 100.31995 100.67056 101.00432 #> [86,] 102.65635 98.83253 100.94177 100.24468 100.60003 101.03815 99.16664 #> [87,] 99.16549 98.59323 98.50025 101.09024 98.26549 99.63777 99.77638 #> [88,] 99.80314 102.83451 98.62313 100.24650 99.66112 100.47485 99.82777 #> [89,] 100.81485 100.59225 99.68692 101.42699 100.49860 100.32587 100.42828 #> [90,] 101.15941 99.94095 99.38685 99.12203 99.97329 100.26401 101.33879 #> [91,] 99.60963 99.75646 99.79006 101.97879 99.59668 98.13397 100.54690 #> [92,] 98.67055 101.07326 99.37645 101.50588 99.35769 99.36484 101.20923 #> [93,] 97.18646 100.47113 101.30328 100.19676 100.38262 100.46563 98.08284 #> [94,] 99.76743 100.12888 100.75160 100.49422 100.80529 100.52150 98.69169 #> [95,] 98.92139 100.45915 99.08668 101.39591 99.88206 100.57992 99.18996 #> [96,] 100.14744 99.68685 101.91843 99.53541 99.69815 100.77521 99.18343 #> [97,] 97.81162 99.63666 100.95298 98.41874 99.46149 101.44124 99.59299 #> [98,] 99.35723 100.81867 99.36142 99.72925 100.37592 99.54315 100.70182 #> [99,] 100.44599 101.11855 101.18338 100.11626 98.76637 100.35712 99.79178 #> [100,] 99.86970 99.79042 99.41267 101.35380 101.48962 98.37529 100.23905 #> [101,] 101.47431 98.43315 98.51382 100.92065 99.08222 100.16968 100.03368 #> [102,] 100.03502 100.79062 99.72300 98.84368 99.46481 99.38080 101.09258 #> [103,] 99.57257 99.97542 100.48245 99.05654 98.94758 99.15383 100.98345 #> [104,] 98.23869 99.38987 99.10773 99.32141 99.01698 99.83851 100.56555 #> [105,] 100.05229 100.33658 100.57941 99.92014 100.75167 99.85726 99.12292 #> [106,] 100.06020 100.36436 101.04839 99.90625 99.06856 99.40304 99.77989 #> [107,] 100.78697 100.29635 101.34351 98.79847 98.73562 100.37157 99.33851 #> [108,] 99.04853 101.54802 102.39035 98.74997 100.80311 99.36435 101.00431 #> [109,] 100.29807 99.91914 100.09647 99.61130 99.68454 99.54542 99.94014 #> [110,] 100.00996 99.57172 97.71210 98.48492 99.79371 99.03203 99.78460 #> [111,] 100.42864 99.08919 101.04291 99.00140 98.92389 100.67435 101.32056 #> [112,] 100.26558 99.69572 102.66571 100.76607 101.27767 100.90411 102.61595 #> [113,] 100.13789 98.74178 100.02560 100.47585 98.62588 101.19421 100.25107 #> [114,] 99.20728 99.17320 99.09790 101.46185 100.41534 101.10293 100.96342 #> [115,] 102.16407 100.02702 100.98123 99.72735 99.48421 100.21467 101.80124 #> [116,] 99.72329 99.93928 99.68441 101.41197 99.52737 100.77203 99.71528 #> [117,] 100.32326 102.47447 98.66896 99.85477 100.00976 100.20038 100.19813 #> [118,] 100.71835 100.37242 101.12338 99.37908 98.55517 99.93682 99.04064 #> [119,] 99.58769 99.83928 100.90672 99.55379 100.33225 99.24659 98.74261 #> [120,] 101.45721 98.80147 100.71581 101.50671 100.23384 99.59456 99.37526 #> [121,] 97.74395 98.03988 97.59257 99.25657 99.14644 99.03216 99.87320 #> [122,] 99.53648 99.95157 98.97218 97.76637 99.57592 100.24890 99.46475 #> [123,] 99.59819 101.59246 99.84393 101.65932 98.67497 101.03136 100.53044 #> [124,] 100.55792 99.31220 100.49243 99.80183 101.25306 101.17637 99.89330 #> [125,] 99.54014 98.68227 99.50734 100.30816 99.14884 99.28004 100.82403 #> [126,] 99.67561 100.97418 100.78798 98.25363 100.47608 99.84862 98.79691 #> [127,] 101.78977 100.74442 102.11208 101.48878 98.63244 99.77325 98.82267 #> [128,] 99.93485 100.70836 98.93639 100.83899 101.02054 98.52611 99.52462 #> [129,] 99.66867 100.24496 99.86456 99.09709 98.94273 100.65458 98.56188 #> [130,] 98.91078 99.79138 100.28155 102.02624 100.04082 100.44048 99.71897 #> [131,] 100.52715 99.08120 97.97039 100.70692 100.17289 98.38776 101.07585 #> [132,] 101.32403 97.79270 100.18696 101.86500 99.24280 100.85701 100.32032 #> [133,] 102.73243 99.14881 100.88526 97.86413 101.42462 100.23550 99.71745 #> [134,] 96.91355 100.95539 99.80457 100.63926 99.47184 100.90574 100.13840 #> [135,] 100.00646 100.01781 100.60791 100.08330 100.38260 101.22518 99.42475 #> [136,] 99.47235 99.00126 99.77235 101.73736 101.46747 98.92124 99.02748 #> [137,] 99.69947 101.12740 99.20232 100.19946 100.57561 100.12938 99.17633 #> [138,] 98.65681 99.41049 99.01536 99.56454 99.91585 101.28376 100.77232 #> [139,] 101.49248 99.51984 99.81268 98.11798 99.92312 101.75853 100.58909 #> [140,] 100.02625 99.50784 100.16699 100.13994 99.33484 100.17664 100.35799 #> [141,] 100.39667 100.82316 99.33397 100.77537 98.98519 98.55963 101.91384 #> [142,] 100.36174 101.00079 99.34286 100.67655 100.23349 99.95319 101.61752 #> [143,] 101.02046 100.13497 101.07472 100.04054 99.39096 99.56348 100.12796 #> [144,] 101.66051 100.39221 98.97878 101.13356 99.36175 99.96530 100.34920 #> [145,] 100.95357 98.98128 99.42823 100.34336 99.55851 101.22819 99.43016 #> [146,] 101.31600 101.20522 99.07790 100.27579 99.49379 101.12240 101.69111 #> [147,] 101.19975 101.76567 99.77352 98.29425 98.95770 100.51235 102.12028 #> [148,] 101.72902 101.13997 101.18694 99.88247 100.61675 99.63506 100.45349 #> [149,] 101.25394 98.87752 100.12827 99.92861 99.68186 102.10665 99.66894 #> [150,] 99.35037 100.63539 100.86106 101.01252 102.27363 101.54647 101.36150 #> [151,] 99.12336 98.67527 99.94660 101.51165 100.18394 100.57840 101.14721 #> [152,] 99.81429 100.80337 98.63386 99.44536 100.15926 98.99341 98.56855 #> [153,] 100.84963 100.69379 100.27339 99.39224 101.81707 99.64270 98.38824 #> [154,] 99.38203 99.34741 98.29750 99.63610 100.55278 99.07040 99.94325 #> [155,] 100.55099 100.34644 99.65762 100.95519 101.10852 99.93297 100.29483 #> [156,] 99.97815 100.47497 97.94564 100.04144 100.85421 100.07721 98.85379 #> [157,] 99.54059 101.12604 100.15236 100.63118 102.00903 98.67124 100.60105 #> [158,] 98.10429 100.52284 100.39234 98.93840 100.18350 100.13128 99.66122 #> [159,] 101.56135 99.93320 101.14554 100.26996 99.88758 98.96583 100.09356 #> [160,] 102.23120 100.06674 98.85129 99.91403 99.58684 100.40701 99.99273 #> [161,] 98.57279 99.63095 100.21493 99.04134 102.41089 100.38154 98.43762 #> [162,] 99.17784 99.89608 102.48917 99.83903 99.41488 98.81871 99.74507 #> [163,] 99.96900 99.79411 98.75010 100.05600 101.19766 100.45228 101.84416 #> [164,] 99.35957 101.32700 99.03833 101.23702 100.55556 101.54561 98.78897 #> [165,] 100.50057 98.47721 98.78752 101.50442 100.43447 100.57654 100.48637 #> [166,] 101.89837 99.97554 99.26773 101.50717 99.32377 99.09005 99.04513 #> [167,] 99.35180 101.79105 99.64702 99.89800 101.04325 100.74671 100.36547 #> [168,] 100.53688 98.92227 101.00901 100.96131 99.99951 100.16389 100.26319 #> [169,] 99.71419 101.07805 98.07288 99.01365 99.95446 99.92435 98.91927 #> [170,] 99.53651 100.33546 98.89399 99.00587 99.81884 100.54144 98.97271 #> [171,] 101.56058 98.99244 98.92080 99.73099 101.16093 99.37887 99.94267 #> [172,] 100.65938 97.89204 100.79800 98.84261 99.75230 100.40575 102.04211 #> [173,] 100.25037 99.02550 100.82723 100.15753 100.73882 99.77619 98.70182 #> [174,] 101.12980 101.98038 99.45999 100.99595 100.32239 100.67340 100.16645 #> [175,] 99.11433 100.77852 99.53179 99.85204 100.56970 99.88505 100.18686 #> [176,] 99.15214 100.86095 98.34471 100.74780 100.49989 99.99910 101.38773 #> [177,] 99.41886 99.64155 98.32468 99.04626 97.24285 100.92949 99.73832 #> [178,] 100.11651 97.17275 99.96845 101.54229 99.83505 100.06153 97.62115 #> [179,] 99.63689 99.75382 99.75536 100.17754 100.46988 101.10038 98.43990 #> [180,] 99.84637 100.40601 100.05916 101.11842 99.58872 99.85520 99.91521 #> [181,] 101.02486 100.56533 98.22518 102.09825 100.32895 100.73310 100.68165 #> [182,] 100.42347 100.19166 101.60415 99.87739 100.83019 98.88273 100.06559 #> [183,] 98.94076 100.19819 98.44077 98.92661 99.74783 99.96964 99.73626 #> [184,] 99.13814 99.31517 100.13815 100.13031 100.55350 98.54476 99.47979 #> [185,] 99.30269 100.63327 100.20966 100.68484 100.11970 98.86053 99.71518 #> [186,] 98.45079 99.59803 100.12693 99.24502 100.40249 99.68512 100.09042 #> [187,] 99.42206 100.51410 101.06231 99.48820 99.98385 99.90819 99.85013 #> [188,] 100.63477 99.33093 99.61850 100.99894 101.63869 99.05147 99.74901 #> [189,] 100.41998 99.45929 101.51794 101.96529 101.05586 99.89515 97.93553 #> [190,] 98.97009 99.69542 97.80636 101.14444 98.29563 101.98095 100.07633 #> [191,] 98.95446 100.41046 101.09266 100.41520 100.57956 99.98042 98.78365 #> [192,] 99.04542 99.80184 98.21091 98.60624 99.99515 98.77437 98.66983 #> [193,] 99.41637 97.97899 99.90412 100.36064 100.73206 101.44844 99.50817 #> [194,] 101.37685 101.64548 99.27031 100.66480 99.85201 102.89578 100.55931 #> [195,] 100.82945 99.91609 102.08004 101.17104 101.89766 99.80261 98.70985 #> [196,] 101.14838 99.30620 100.35242 101.49045 99.30625 101.75551 100.15822 #> [197,] 99.18477 101.23204 99.68272 98.53520 100.85844 99.76638 99.82926 #> [198,] 100.30693 99.90599 100.34062 100.27440 100.47983 99.80768 99.97969 #> [199,] 99.16176 100.09225 98.47229 98.60436 100.57002 99.09112 99.82136 #> [200,] 100.55205 99.09757 100.02664 100.93515 99.96187 99.94529 100.75802 #> X8 X9 X10 #> [1,] 201.60954 199.74508 199.75432 #> [2,] 199.48269 199.72970 198.39845 #> [3,] 199.71608 198.88835 200.40936 #> [4,] 199.18647 200.95961 201.27893 #> [5,] 200.96823 199.98379 198.73031 #> [6,] 201.80299 199.40298 199.90329 #> [7,] 201.39032 200.26089 201.08186 #> [8,] 199.78429 199.69111 199.70172 #> [9,] 199.78971 201.88039 199.08733 #> [10,] 200.12561 201.45554 199.41868 #> [11,] 99.22494 98.54141 101.83299 #> [12,] 99.56137 102.23024 99.57105 #> [13,] 99.57370 99.16147 99.52041 #> [14,] 101.43233 100.21297 100.80091 #> [15,] 99.91842 100.53775 100.03770 #> [16,] 100.30625 100.44396 99.33812 #> [17,] 99.55839 98.62409 100.24479 #> [18,] 97.68238 98.89593 100.56774 #> [19,] 101.80858 99.24056 101.23897 #> [20,] 99.61030 98.69528 100.35563 #> [21,] 100.46323 100.27759 100.04180 #> [22,] 99.35589 98.66862 98.92921 #> [23,] 101.00604 99.00019 101.20803 #> [24,] 98.13992 101.70280 98.46646 #> [25,] 99.53977 101.19468 101.62890 #> [26,] 99.47466 99.10165 99.97932 #> [27,] 100.55987 99.16342 101.53302 #> [28,] 101.04240 99.83072 97.23290 #> [29,] 101.84453 99.57541 99.84934 #> [30,] 99.57686 99.59102 99.93157 #> [31,] 99.90373 99.99344 101.02664 #> [32,] 99.06693 99.07289 101.44852 #> [33,] 99.89433 99.72724 100.61599 #> [34,] 99.96153 100.54200 101.70919 #> [35,] 99.62805 99.01663 100.32899 #> [36,] 99.24133 99.41116 99.87241 #> [37,] 101.84888 100.57555 98.78104 #> [38,] 99.49468 99.37011 99.50465 #> [39,] 101.35255 100.22298 100.33084 #> [40,] 101.42822 99.97315 98.71295 #> [41,] 99.08463 100.73347 100.14049 #> [42,] 98.25351 99.17284 101.87870 #> [43,] 99.99836 98.28623 99.04798 #> [44,] 99.58595 100.59102 100.78820 #> [45,] 100.14963 99.37502 99.16579 #> [46,] 99.37594 100.35493 100.13561 #> [47,] 97.65577 100.91458 100.99970 #> [48,] 102.58168 100.31207 99.56147 #> [49,] 100.35470 101.07800 99.64434 #> [50,] 102.11009 98.73965 100.96517 #> [51,] 100.48919 99.52892 99.00256 #> [52,] 99.42755 100.85116 99.45526 #> [53,] 99.62083 101.46474 99.94194 #> [54,] 99.56874 100.23675 99.41421 #> [55,] 101.30089 100.41263 99.82159 #> [56,] 102.23957 101.24945 99.21182 #> [57,] 99.81577 99.51272 101.15604 #> [58,] 99.89209 100.84835 100.76270 #> [59,] 100.81882 100.46032 101.25812 #> [60,] 98.94344 99.89661 101.12487 #> [61,] 100.70073 100.97489 101.00311 #> [62,] 99.95896 99.09162 100.28762 #> [63,] 98.33434 101.74138 99.17981 #> [64,] 98.55782 100.48805 99.06127 #> [65,] 100.55019 101.13522 99.01184 #> [66,] 99.46400 99.54982 98.45192 #> [67,] 100.01518 100.47384 97.41584 #> [68,] 98.63438 98.65675 101.44591 #> [69,] 100.31664 99.89835 99.59414 #> [70,] 101.22029 101.03583 99.05709 #> [71,] 99.56227 99.91556 100.34972 #> [72,] 101.93081 97.77383 100.94120 #> [73,] 102.24238 99.67195 100.73581 #> [74,] 100.15740 99.96954 99.92478 #> [75,] 100.67662 101.86988 98.25933 #> [76,] 100.04703 101.89692 100.17572 #> [77,] 99.18905 99.04889 98.77554 #> [78,] 101.22784 100.68876 99.42993 #> [79,] 99.38159 98.90303 102.18627 #> [80,] 102.33368 98.56857 100.57919 #> [81,] 98.14549 98.95842 99.50920 #> [82,] 100.57123 101.04280 100.22187 #> [83,] 99.98457 99.77443 100.01202 #> [84,] 99.94912 98.83581 100.49362 #> [85,] 99.40805 99.39592 100.10986 #> [86,] 99.64301 98.89459 101.33294 #> [87,] 101.57385 100.94446 100.69335 #> [88,] 100.45078 100.22406 99.59000 #> [89,] 100.69815 100.49905 98.37901 #> [90,] 99.97464 100.31493 98.57134 #> [91,] 99.71475 102.65816 99.01875 #> [92,] 101.66662 101.03311 102.42760 #> [93,] 101.39629 99.03853 98.16374 #> [94,] 100.96759 98.70530 99.84676 #> [95,] 100.04035 99.50948 100.51410 #> [96,] 101.07734 99.54734 98.55898 #> [97,] 100.52423 100.40615 99.65020 #> [98,] 100.95334 101.53602 101.36138 #> [99,] 99.84165 101.68890 99.68010 #> [100,] 98.64045 100.19707 98.82971 #> [101,] 101.14528 101.00260 100.38113 #> [102,] 99.76889 101.29177 99.52597 #> [103,] 100.73658 99.62709 102.46658 #> [104,] 100.04455 100.14519 99.68664 #> [105,] 100.30224 98.46282 100.51789 #> [106,] 98.95696 98.74467 102.82583 #> [107,] 99.81845 99.36918 100.50729 #> [108,] 101.58270 100.59173 99.15632 #> [109,] 101.36625 99.19570 99.91541 #> [110,] 101.07580 101.30060 99.27419 #> [111,] 100.26612 101.31972 99.73967 #> [112,] 99.43685 99.52570 100.49313 #> [113,] 98.69532 99.75761 100.84479 #> [114,] 100.81348 98.51491 99.67011 #> [115,] 100.16351 101.59292 100.68091 #> [116,] 99.99175 99.12651 101.00612 #> [117,] 100.22145 99.12365 100.29100 #> [118,] 98.89151 100.16667 99.67205 #> [119,] 100.12206 100.45445 98.98035 #> [120,] 100.62011 97.42862 100.27381 #> [121,] 98.78957 99.71182 100.82950 #> [122,] 99.47013 101.56326 99.00220 #> [123,] 98.66302 99.22963 100.77061 #> [124,] 103.17530 99.78989 98.87051 #> [125,] 101.54236 99.56128 100.88408 #> [126,] 100.30529 97.97432 99.65551 #> [127,] 100.41653 98.69798 100.18790 #> [128,] 98.60685 100.33753 99.38211 #> [129,] 97.59041 101.54701 100.74700 #> [130,] 102.71533 99.42912 99.57083 #> [131,] 100.15810 99.04184 100.12041 #> [132,] 100.19779 98.18260 99.34926 #> [133,] 99.18736 100.44620 101.06834 #> [134,] 100.57072 100.13519 101.25927 #> [135,] 101.43178 99.62606 98.75997 #> [136,] 100.21145 100.48916 99.57878 #> [137,] 100.40061 101.48055 100.16232 #> [138,] 99.26532 99.30583 99.34775 #> [139,] 98.92737 98.96843 101.67678 #> [140,] 100.59781 99.42692 100.24561 #> [141,] 100.59833 99.82121 100.39010 #> [142,] 100.34893 100.69117 99.64098 #> [143,] 100.93229 99.49657 98.85890 #> [144,] 101.38495 99.28113 97.71068 #> [145,] 101.28570 99.81622 101.27804 #> [146,] 99.37116 99.12229 99.50630 #> [147,] 100.91637 99.55796 100.27030 #> [148,] 100.05607 97.59046 100.13782 #> [149,] 98.86066 100.65749 100.19728 #> [150,] 100.64655 99.07906 98.43826 #> [151,] 101.89796 100.36051 99.75036 #> [152,] 99.22834 97.64830 102.19064 #> [153,] 99.13401 100.48403 100.41463 #> [154,] 99.54134 99.90891 100.07935 #> [155,] 101.20588 100.58404 98.35741 #> [156,] 98.65663 99.45701 99.84061 #> [157,] 99.33580 100.27103 100.20660 #> [158,] 99.55015 99.33020 99.20612 #> [159,] 100.84752 99.80871 98.13048 #> [160,] 101.74037 100.84512 101.23351 #> [161,] 99.70031 100.28413 99.32809 #> [162,] 100.48981 102.34927 100.66876 #> [163,] 100.94110 99.62395 100.16423 #> [164,] 100.35499 99.52542 101.12829 #> [165,] 99.97883 98.31042 100.89693 #> [166,] 99.53479 100.40510 99.23999 #> [167,] 100.30976 99.14864 98.87544 #> [168,] 99.19505 99.80158 98.66777 #> [169,] 99.87024 100.53820 99.94677 #> [170,] 99.36800 100.05817 100.88796 #> [171,] 98.83331 101.80895 100.16189 #> [172,] 99.62743 99.93840 100.67082 #> [173,] 99.42471 99.72378 99.77871 #> [174,] 100.29398 99.12843 98.62947 #> [175,] 98.58681 98.58413 98.73721 #> [176,] 98.70339 98.25356 100.96259 #> [177,] 100.23262 101.82966 99.29007 #> [178,] 100.39908 100.11528 100.02232 #> [179,] 99.10681 98.46119 99.39288 #> [180,] 99.34605 99.79197 101.48782 #> [181,] 99.92754 99.98381 101.13845 #> [182,] 99.57566 100.33337 100.26677 #> [183,] 100.72862 101.25448 98.62645 #> [184,] 100.66703 99.08472 99.80862 #> [185,] 99.34550 99.93820 99.99838 #> [186,] 100.02289 99.81615 98.43183 #> [187,] 101.91779 100.66520 99.01931 #> [188,] 98.86573 99.72140 101.12279 #> [189,] 102.81177 100.31035 100.19551 #> [190,] 100.96618 98.92151 101.20318 #> [191,] 101.68623 101.98610 101.26531 #> [192,] 99.95213 101.44912 100.18530 #> [193,] 99.36042 99.94494 99.00201 #> [194,] 99.79288 100.78682 100.69146 #> [195,] 101.39750 100.23960 100.41265 #> [196,] 100.69852 100.72249 100.31948 #> [197,] 99.56309 101.83804 101.06312 #> [198,] 100.88881 100.19511 98.57926 #> [199,] 99.72167 99.70177 102.37253 #> [200,] 102.14188 99.64349 99.48271 #> #> , , 2 #> #> X1 X2 X3 X4 X5 X6 X7 #> [1,] 99.62136 97.36890 100.28075 99.37889 98.48006 200.28026 199.80422 #> [2,] 99.86342 101.27309 100.86058 99.19046 99.71866 199.26177 200.39344 #> [3,] 100.21425 100.30241 99.07865 98.51259 100.02675 199.21966 202.28551 #> [4,] 99.84381 100.20091 101.18119 99.05420 100.18467 200.06153 199.34245 #> [5,] 100.36412 101.70192 100.59543 99.49536 100.65887 199.25196 199.47146 #> [6,] 100.70214 101.06663 101.65048 99.11372 100.94608 201.74710 198.70242 #> [7,] 99.65595 99.31420 100.02326 101.56787 100.01322 199.91695 199.59548 #> [8,] 97.98251 97.59303 100.60547 97.81128 101.07808 199.94233 199.46429 #> [9,] 99.56975 100.09034 99.30467 99.69204 100.78160 200.79724 199.30691 #> [10,] 99.66258 99.27055 98.28584 99.76234 100.15253 199.05707 200.98124 #> [11,] 100.67448 98.76728 99.03524 100.05411 99.65590 99.17835 98.58828 #> [12,] 99.70519 101.44341 100.27238 100.05246 100.22091 100.72780 99.40128 #> [13,] 100.22737 98.20463 100.17269 99.25860 97.97791 100.25975 100.44203 #> [14,] 99.58471 99.56201 100.68163 100.80704 101.25322 100.22989 101.69888 #> [15,] 98.88906 100.91857 100.40506 98.21385 99.92004 101.20937 101.01489 #> [16,] 99.72203 100.13020 100.38206 100.30495 100.50996 99.77492 101.92973 #> [17,] 98.66712 99.87493 98.73070 100.21022 100.16050 98.70055 99.66331 #> [18,] 101.74826 99.50606 99.06766 100.88594 100.89332 98.20664 99.92798 #> [19,] 100.37070 99.92320 101.00412 98.77845 99.51780 100.51887 100.65552 #> [20,] 99.67479 99.88322 99.71573 98.72810 100.61274 97.97179 98.50479 #> [21,] 101.22486 101.49935 100.51086 100.64889 101.37527 100.31040 99.45380 #> [22,] 100.94777 100.74609 98.16971 100.51673 100.34439 100.46798 101.21767 #> [23,] 99.23466 98.98854 97.70679 99.66054 99.63939 100.49429 99.84157 #> [24,] 100.73409 100.11633 99.34654 99.01384 101.20664 99.83183 100.18725 #> [25,] 99.42769 101.44334 100.31472 99.85531 100.97558 98.07407 99.12720 #> [26,] 97.98284 98.58111 100.72714 100.77219 99.50288 101.16027 97.92605 #> [27,] 100.77200 99.87912 100.64746 100.26483 99.76495 101.61521 100.04600 #> [28,] 101.21120 101.21477 98.66129 100.28078 99.24424 99.46075 101.14263 #> [29,] 99.89863 100.70173 99.77229 98.53766 100.04275 99.75579 101.32759 #> [30,] 100.06061 100.37637 99.99705 100.47969 99.08339 99.36436 99.03801 #> [31,] 98.30618 98.66601 99.96445 100.75600 101.78651 99.57463 97.63290 #> [32,] 99.20158 99.72202 100.56677 101.86184 98.29285 100.69424 99.51856 #> [33,] 102.69643 99.43994 99.81578 100.45453 100.66046 101.42928 100.05872 #> [34,] 99.64883 99.69805 100.82740 100.94480 101.13936 100.43190 98.86824 #> [35,] 100.52176 100.35496 101.18851 100.98460 99.39586 100.72377 100.78591 #> [36,] 99.14024 100.18434 101.25128 99.24923 99.25243 101.26967 99.00934 #> [37,] 98.71673 100.27563 101.26047 100.17444 100.22413 99.39826 101.40395 #> [38,] 99.60300 99.96101 97.69730 100.69089 100.56642 100.59508 100.64289 #> [39,] 100.95813 99.81860 101.42839 101.09042 99.95280 100.05541 100.25045 #> [40,] 100.94308 101.05768 101.33514 98.67754 100.78029 101.33639 99.06949 #> [41,] 100.08233 99.25436 100.18024 99.49072 101.11272 99.46501 99.42307 #> [42,] 98.08118 98.05493 101.38092 98.98588 100.38570 101.43547 98.73351 #> [43,] 100.73244 101.01459 99.31688 100.70114 99.63081 100.12055 98.27283 #> [44,] 101.37057 100.74243 100.25070 100.36574 100.12416 99.61283 99.72949 #> [45,] 100.57588 98.59631 99.63513 99.14692 100.54662 100.38188 99.85310 #> [46,] 102.32726 100.72725 100.83068 100.69548 99.14269 99.33752 100.98748 #> [47,] 100.66396 101.24997 102.74212 100.21230 100.15852 100.11243 98.59912 #> [48,] 101.18708 99.14272 100.97788 100.43447 100.20844 98.35361 98.66029 #> [49,] 100.29781 100.05292 101.81405 99.51584 100.27605 99.18655 99.93729 #> [50,] 98.90440 98.88690 100.10132 98.60870 99.54416 100.53822 99.79307 #> [51,] 99.13211 101.27766 100.35375 99.01066 98.65777 99.59689 101.53856 #> [52,] 99.68964 98.53949 101.66643 99.63273 99.82911 100.20886 99.59244 #> [53,] 100.20759 100.75656 101.83451 100.83636 101.20224 101.46609 99.25368 #> [54,] 100.81381 100.86708 98.98648 97.94897 99.05776 100.18764 101.23422 #> [55,] 97.62262 100.96918 100.88207 99.72121 101.16145 98.67508 99.75286 #> [56,] 99.87966 99.11009 100.62407 101.51961 99.07788 98.87347 100.09431 #> [57,] 100.81265 101.40022 101.64736 100.72335 98.98892 99.42230 100.87794 #> [58,] 99.42476 100.95793 98.97635 101.74751 99.12457 100.38954 98.87197 #> [59,] 98.54276 100.53223 100.52489 100.72203 100.67585 98.81364 98.79910 #> [60,] 101.65724 100.08529 100.82927 99.95037 98.87261 99.72656 99.90579 #> [61,] 100.22370 99.10401 101.10075 100.55131 98.18042 98.01345 99.29028 #> [62,] 100.01483 98.93389 101.42779 99.12747 100.93053 100.67624 98.69724 #> [63,] 98.03262 98.51941 100.64758 98.84928 100.03873 100.56751 99.63268 #> [64,] 102.48775 100.54013 100.22541 101.07624 100.45880 100.28039 98.74043 #> [65,] 101.08856 99.96487 99.35269 100.88600 99.88268 99.03970 100.72421 #> [66,] 99.28101 100.31202 99.58869 98.36661 98.88559 100.42823 100.11403 #> [67,] 99.94741 99.59370 101.31019 102.00179 99.71711 100.71517 99.53402 #> [68,] 99.11708 99.87691 100.41860 100.05917 98.87877 100.05524 100.47340 #> [69,] 99.83367 99.48486 100.47715 100.42913 99.81200 99.04303 99.16834 #> [70,] 100.26151 98.90834 99.27541 101.30210 100.63369 98.32762 99.53554 #> [71,] 101.42782 99.48918 99.47898 99.69239 101.13070 101.38540 97.77069 #> [72,] 98.37754 97.58114 98.54586 99.71640 99.18235 102.10023 101.28421 #> [73,] 98.43999 102.07782 99.31780 97.19951 100.03653 98.74474 98.03535 #> [74,] 99.21218 99.76310 100.58792 100.51794 98.67775 100.30000 100.60982 #> [75,] 100.31827 100.87590 100.00028 99.41642 99.73776 100.05191 100.53130 #> [76,] 101.33601 99.30129 101.45846 100.57889 99.82176 99.35001 101.78012 #> [77,] 98.71098 98.45163 100.50164 99.49692 100.56487 97.99646 101.16713 #> [78,] 100.54735 100.13119 99.49891 101.94890 100.94310 99.79346 102.36457 #> [79,] 100.62054 99.90850 99.83848 101.83898 99.71147 98.91599 100.72897 #> [80,] 100.87418 99.07000 99.39502 99.07229 99.84750 98.21041 98.99321 #> [81,] 100.58658 100.55023 98.79955 101.56748 99.77204 101.46388 99.25508 #> [82,] 100.65936 99.83262 100.37488 100.96218 98.40581 101.40310 100.64276 #> [83,] 101.05624 99.81584 97.94433 100.75954 99.44069 100.06661 99.26098 #> [84,] 99.76635 99.48239 100.50835 97.81779 99.47231 99.00190 101.11238 #> [85,] 99.61604 99.94210 99.92007 100.83718 100.31995 100.67056 101.00432 #> [86,] 102.65635 98.83253 100.94177 100.24468 100.60003 101.03815 99.16664 #> [87,] 99.16549 98.59323 98.50025 101.09024 98.26549 99.63777 99.77638 #> [88,] 99.80314 102.83451 98.62313 100.24650 99.66112 100.47485 99.82777 #> [89,] 100.81485 100.59225 99.68692 101.42699 100.49860 100.32587 100.42828 #> [90,] 101.15941 99.94095 99.38685 99.12203 99.97329 100.26401 101.33879 #> [91,] 99.60963 99.75646 99.79006 101.97879 99.59668 98.13397 100.54690 #> [92,] 98.67055 101.07326 99.37645 101.50588 99.35769 99.36484 101.20923 #> [93,] 97.18646 100.47113 101.30328 100.19676 100.38262 100.46563 98.08284 #> [94,] 99.76743 100.12888 100.75160 100.49422 100.80529 100.52150 98.69169 #> [95,] 98.92139 100.45915 99.08668 101.39591 99.88206 100.57992 99.18996 #> [96,] 100.14744 99.68685 101.91843 99.53541 99.69815 100.77521 99.18343 #> [97,] 97.81162 99.63666 100.95298 98.41874 99.46149 101.44124 99.59299 #> [98,] 99.35723 100.81867 99.36142 99.72925 100.37592 99.54315 100.70182 #> [99,] 100.44599 101.11855 101.18338 100.11626 98.76637 100.35712 99.79178 #> [100,] 99.86970 99.79042 99.41267 101.35380 101.48962 98.37529 100.23905 #> [101,] 101.47431 98.43315 98.51382 100.92065 99.08222 100.16968 100.03368 #> [102,] 100.03502 100.79062 99.72300 98.84368 99.46481 99.38080 101.09258 #> [103,] 99.57257 99.97542 100.48245 99.05654 98.94758 99.15383 100.98345 #> [104,] 98.23869 99.38987 99.10773 99.32141 99.01698 99.83851 100.56555 #> [105,] 100.05229 100.33658 100.57941 99.92014 100.75167 99.85726 99.12292 #> [106,] 100.06020 100.36436 101.04839 99.90625 99.06856 99.40304 99.77989 #> [107,] 100.78697 100.29635 101.34351 98.79847 98.73562 100.37157 99.33851 #> [108,] 99.04853 101.54802 102.39035 98.74997 100.80311 99.36435 101.00431 #> [109,] 100.29807 99.91914 100.09647 99.61130 99.68454 99.54542 99.94014 #> [110,] 100.00996 99.57172 97.71210 98.48492 99.79371 99.03203 99.78460 #> [111,] 100.42864 99.08919 101.04291 99.00140 98.92389 100.67435 101.32056 #> [112,] 100.26558 99.69572 102.66571 100.76607 101.27767 100.90411 102.61595 #> [113,] 100.13789 98.74178 100.02560 100.47585 98.62588 101.19421 100.25107 #> [114,] 99.20728 99.17320 99.09790 101.46185 100.41534 101.10293 100.96342 #> [115,] 102.16407 100.02702 100.98123 99.72735 99.48421 100.21467 101.80124 #> [116,] 99.72329 99.93928 99.68441 101.41197 99.52737 100.77203 99.71528 #> [117,] 100.32326 102.47447 98.66896 99.85477 100.00976 100.20038 100.19813 #> [118,] 100.71835 100.37242 101.12338 99.37908 98.55517 99.93682 99.04064 #> [119,] 99.58769 99.83928 100.90672 99.55379 100.33225 99.24659 98.74261 #> [120,] 101.45721 98.80147 100.71581 101.50671 100.23384 99.59456 99.37526 #> [121,] 97.74395 98.03988 97.59257 99.25657 99.14644 99.03216 99.87320 #> [122,] 99.53648 99.95157 98.97218 97.76637 99.57592 100.24890 99.46475 #> [123,] 99.59819 101.59246 99.84393 101.65932 98.67497 101.03136 100.53044 #> [124,] 100.55792 99.31220 100.49243 99.80183 101.25306 101.17637 99.89330 #> [125,] 99.54014 98.68227 99.50734 100.30816 99.14884 99.28004 100.82403 #> [126,] 99.67561 100.97418 100.78798 98.25363 100.47608 99.84862 98.79691 #> [127,] 101.78977 100.74442 102.11208 101.48878 98.63244 99.77325 98.82267 #> [128,] 99.93485 100.70836 98.93639 100.83899 101.02054 98.52611 99.52462 #> [129,] 99.66867 100.24496 99.86456 99.09709 98.94273 100.65458 98.56188 #> [130,] 98.91078 99.79138 100.28155 102.02624 100.04082 100.44048 99.71897 #> [131,] 100.52715 99.08120 97.97039 100.70692 100.17289 98.38776 101.07585 #> [132,] 101.32403 97.79270 100.18696 101.86500 99.24280 100.85701 100.32032 #> [133,] 102.73243 99.14881 100.88526 97.86413 101.42462 100.23550 99.71745 #> [134,] 96.91355 100.95539 99.80457 100.63926 99.47184 100.90574 100.13840 #> [135,] 100.00646 100.01781 100.60791 100.08330 100.38260 101.22518 99.42475 #> [136,] 99.47235 99.00126 99.77235 101.73736 101.46747 98.92124 99.02748 #> [137,] 99.69947 101.12740 99.20232 100.19946 100.57561 100.12938 99.17633 #> [138,] 98.65681 99.41049 99.01536 99.56454 99.91585 101.28376 100.77232 #> [139,] 101.49248 99.51984 99.81268 98.11798 99.92312 101.75853 100.58909 #> [140,] 100.02625 99.50784 100.16699 100.13994 99.33484 100.17664 100.35799 #> [141,] 100.39667 100.82316 99.33397 100.77537 98.98519 98.55963 101.91384 #> [142,] 100.36174 101.00079 99.34286 100.67655 100.23349 99.95319 101.61752 #> [143,] 101.02046 100.13497 101.07472 100.04054 99.39096 99.56348 100.12796 #> [144,] 101.66051 100.39221 98.97878 101.13356 99.36175 99.96530 100.34920 #> [145,] 100.95357 98.98128 99.42823 100.34336 99.55851 101.22819 99.43016 #> [146,] 101.31600 101.20522 99.07790 100.27579 99.49379 101.12240 101.69111 #> [147,] 101.19975 101.76567 99.77352 98.29425 98.95770 100.51235 102.12028 #> [148,] 101.72902 101.13997 101.18694 99.88247 100.61675 99.63506 100.45349 #> [149,] 101.25394 98.87752 100.12827 99.92861 99.68186 102.10665 99.66894 #> [150,] 99.35037 100.63539 100.86106 101.01252 102.27363 101.54647 101.36150 #> [151,] 99.12336 98.67527 99.94660 101.51165 100.18394 100.57840 101.14721 #> [152,] 99.81429 100.80337 98.63386 99.44536 100.15926 98.99341 98.56855 #> [153,] 100.84963 100.69379 100.27339 99.39224 101.81707 99.64270 98.38824 #> [154,] 99.38203 99.34741 98.29750 99.63610 100.55278 99.07040 99.94325 #> [155,] 100.55099 100.34644 99.65762 100.95519 101.10852 99.93297 100.29483 #> [156,] 99.97815 100.47497 97.94564 100.04144 100.85421 100.07721 98.85379 #> [157,] 99.54059 101.12604 100.15236 100.63118 102.00903 98.67124 100.60105 #> [158,] 98.10429 100.52284 100.39234 98.93840 100.18350 100.13128 99.66122 #> [159,] 101.56135 99.93320 101.14554 100.26996 99.88758 98.96583 100.09356 #> [160,] 102.23120 100.06674 98.85129 99.91403 99.58684 100.40701 99.99273 #> [161,] 98.57279 99.63095 100.21493 99.04134 102.41089 100.38154 98.43762 #> [162,] 99.17784 99.89608 102.48917 99.83903 99.41488 98.81871 99.74507 #> [163,] 99.96900 99.79411 98.75010 100.05600 101.19766 100.45228 101.84416 #> [164,] 99.35957 101.32700 99.03833 101.23702 100.55556 101.54561 98.78897 #> [165,] 100.50057 98.47721 98.78752 101.50442 100.43447 100.57654 100.48637 #> [166,] 101.89837 99.97554 99.26773 101.50717 99.32377 99.09005 99.04513 #> [167,] 99.35180 101.79105 99.64702 99.89800 101.04325 100.74671 100.36547 #> [168,] 100.53688 98.92227 101.00901 100.96131 99.99951 100.16389 100.26319 #> [169,] 99.71419 101.07805 98.07288 99.01365 99.95446 99.92435 98.91927 #> [170,] 99.53651 100.33546 98.89399 99.00587 99.81884 100.54144 98.97271 #> [171,] 101.56058 98.99244 98.92080 99.73099 101.16093 99.37887 99.94267 #> [172,] 100.65938 97.89204 100.79800 98.84261 99.75230 100.40575 102.04211 #> [173,] 100.25037 99.02550 100.82723 100.15753 100.73882 99.77619 98.70182 #> [174,] 101.12980 101.98038 99.45999 100.99595 100.32239 100.67340 100.16645 #> [175,] 99.11433 100.77852 99.53179 99.85204 100.56970 99.88505 100.18686 #> [176,] 99.15214 100.86095 98.34471 100.74780 100.49989 99.99910 101.38773 #> [177,] 99.41886 99.64155 98.32468 99.04626 97.24285 100.92949 99.73832 #> [178,] 100.11651 97.17275 99.96845 101.54229 99.83505 100.06153 97.62115 #> [179,] 99.63689 99.75382 99.75536 100.17754 100.46988 101.10038 98.43990 #> [180,] 99.84637 100.40601 100.05916 101.11842 99.58872 99.85520 99.91521 #> [181,] 101.02486 100.56533 98.22518 102.09825 100.32895 100.73310 100.68165 #> [182,] 100.42347 100.19166 101.60415 99.87739 100.83019 98.88273 100.06559 #> [183,] 98.94076 100.19819 98.44077 98.92661 99.74783 99.96964 99.73626 #> [184,] 99.13814 99.31517 100.13815 100.13031 100.55350 98.54476 99.47979 #> [185,] 99.30269 100.63327 100.20966 100.68484 100.11970 98.86053 99.71518 #> [186,] 98.45079 99.59803 100.12693 99.24502 100.40249 99.68512 100.09042 #> [187,] 99.42206 100.51410 101.06231 99.48820 99.98385 99.90819 99.85013 #> [188,] 100.63477 99.33093 99.61850 100.99894 101.63869 99.05147 99.74901 #> [189,] 100.41998 99.45929 101.51794 101.96529 101.05586 99.89515 97.93553 #> [190,] 98.97009 99.69542 97.80636 101.14444 98.29563 101.98095 100.07633 #> [191,] 98.95446 100.41046 101.09266 100.41520 100.57956 99.98042 98.78365 #> [192,] 99.04542 99.80184 98.21091 98.60624 99.99515 98.77437 98.66983 #> [193,] 99.41637 97.97899 99.90412 100.36064 100.73206 101.44844 99.50817 #> [194,] 101.37685 101.64548 99.27031 100.66480 99.85201 102.89578 100.55931 #> [195,] 100.82945 99.91609 102.08004 101.17104 101.89766 99.80261 98.70985 #> [196,] 101.14838 99.30620 100.35242 101.49045 99.30625 101.75551 100.15822 #> [197,] 99.18477 101.23204 99.68272 98.53520 100.85844 99.76638 99.82926 #> [198,] 100.30693 99.90599 100.34062 100.27440 100.47983 99.80768 99.97969 #> [199,] 99.16176 100.09225 98.47229 98.60436 100.57002 99.09112 99.82136 #> [200,] 100.55205 99.09757 100.02664 100.93515 99.96187 99.94529 100.75802 #> X8 X9 X10 #> [1,] 201.60954 199.74508 199.75432 #> [2,] 199.48269 199.72970 198.39845 #> [3,] 199.71608 198.88835 200.40936 #> [4,] 199.18647 200.95961 201.27893 #> [5,] 200.96823 199.98379 198.73031 #> [6,] 201.80299 199.40298 199.90329 #> [7,] 201.39032 200.26089 201.08186 #> [8,] 199.78429 199.69111 199.70172 #> [9,] 199.78971 201.88039 199.08733 #> [10,] 200.12561 201.45554 199.41868 #> [11,] 99.22494 98.54141 101.83299 #> [12,] 99.56137 102.23024 99.57105 #> [13,] 99.57370 99.16147 99.52041 #> [14,] 101.43233 100.21297 100.80091 #> [15,] 99.91842 100.53775 100.03770 #> [16,] 100.30625 100.44396 99.33812 #> [17,] 99.55839 98.62409 100.24479 #> [18,] 97.68238 98.89593 100.56774 #> [19,] 101.80858 99.24056 101.23897 #> [20,] 99.61030 98.69528 100.35563 #> [21,] 100.46323 100.27759 100.04180 #> [22,] 99.35589 98.66862 98.92921 #> [23,] 101.00604 99.00019 101.20803 #> [24,] 98.13992 101.70280 98.46646 #> [25,] 99.53977 101.19468 101.62890 #> [26,] 99.47466 99.10165 99.97932 #> [27,] 100.55987 99.16342 101.53302 #> [28,] 101.04240 99.83072 97.23290 #> [29,] 101.84453 99.57541 99.84934 #> [30,] 99.57686 99.59102 99.93157 #> [31,] 99.90373 99.99344 101.02664 #> [32,] 99.06693 99.07289 101.44852 #> [33,] 99.89433 99.72724 100.61599 #> [34,] 99.96153 100.54200 101.70919 #> [35,] 99.62805 99.01663 100.32899 #> [36,] 99.24133 99.41116 99.87241 #> [37,] 101.84888 100.57555 98.78104 #> [38,] 99.49468 99.37011 99.50465 #> [39,] 101.35255 100.22298 100.33084 #> [40,] 101.42822 99.97315 98.71295 #> [41,] 99.08463 100.73347 100.14049 #> [42,] 98.25351 99.17284 101.87870 #> [43,] 99.99836 98.28623 99.04798 #> [44,] 99.58595 100.59102 100.78820 #> [45,] 100.14963 99.37502 99.16579 #> [46,] 99.37594 100.35493 100.13561 #> [47,] 97.65577 100.91458 100.99970 #> [48,] 102.58168 100.31207 99.56147 #> [49,] 100.35470 101.07800 99.64434 #> [50,] 102.11009 98.73965 100.96517 #> [51,] 100.48919 99.52892 99.00256 #> [52,] 99.42755 100.85116 99.45526 #> [53,] 99.62083 101.46474 99.94194 #> [54,] 99.56874 100.23675 99.41421 #> [55,] 101.30089 100.41263 99.82159 #> [56,] 102.23957 101.24945 99.21182 #> [57,] 99.81577 99.51272 101.15604 #> [58,] 99.89209 100.84835 100.76270 #> [59,] 100.81882 100.46032 101.25812 #> [60,] 98.94344 99.89661 101.12487 #> [61,] 100.70073 100.97489 101.00311 #> [62,] 99.95896 99.09162 100.28762 #> [63,] 98.33434 101.74138 99.17981 #> [64,] 98.55782 100.48805 99.06127 #> [65,] 100.55019 101.13522 99.01184 #> [66,] 99.46400 99.54982 98.45192 #> [67,] 100.01518 100.47384 97.41584 #> [68,] 98.63438 98.65675 101.44591 #> [69,] 100.31664 99.89835 99.59414 #> [70,] 101.22029 101.03583 99.05709 #> [71,] 99.56227 99.91556 100.34972 #> [72,] 101.93081 97.77383 100.94120 #> [73,] 102.24238 99.67195 100.73581 #> [74,] 100.15740 99.96954 99.92478 #> [75,] 100.67662 101.86988 98.25933 #> [76,] 100.04703 101.89692 100.17572 #> [77,] 99.18905 99.04889 98.77554 #> [78,] 101.22784 100.68876 99.42993 #> [79,] 99.38159 98.90303 102.18627 #> [80,] 102.33368 98.56857 100.57919 #> [81,] 98.14549 98.95842 99.50920 #> [82,] 100.57123 101.04280 100.22187 #> [83,] 99.98457 99.77443 100.01202 #> [84,] 99.94912 98.83581 100.49362 #> [85,] 99.40805 99.39592 100.10986 #> [86,] 99.64301 98.89459 101.33294 #> [87,] 101.57385 100.94446 100.69335 #> [88,] 100.45078 100.22406 99.59000 #> [89,] 100.69815 100.49905 98.37901 #> [90,] 99.97464 100.31493 98.57134 #> [91,] 99.71475 102.65816 99.01875 #> [92,] 101.66662 101.03311 102.42760 #> [93,] 101.39629 99.03853 98.16374 #> [94,] 100.96759 98.70530 99.84676 #> [95,] 100.04035 99.50948 100.51410 #> [96,] 101.07734 99.54734 98.55898 #> [97,] 100.52423 100.40615 99.65020 #> [98,] 100.95334 101.53602 101.36138 #> [99,] 99.84165 101.68890 99.68010 #> [100,] 98.64045 100.19707 98.82971 #> [101,] 101.14528 101.00260 100.38113 #> [102,] 99.76889 101.29177 99.52597 #> [103,] 100.73658 99.62709 102.46658 #> [104,] 100.04455 100.14519 99.68664 #> [105,] 100.30224 98.46282 100.51789 #> [106,] 98.95696 98.74467 102.82583 #> [107,] 99.81845 99.36918 100.50729 #> [108,] 101.58270 100.59173 99.15632 #> [109,] 101.36625 99.19570 99.91541 #> [110,] 101.07580 101.30060 99.27419 #> [111,] 100.26612 101.31972 99.73967 #> [112,] 99.43685 99.52570 100.49313 #> [113,] 98.69532 99.75761 100.84479 #> [114,] 100.81348 98.51491 99.67011 #> [115,] 100.16351 101.59292 100.68091 #> [116,] 99.99175 99.12651 101.00612 #> [117,] 100.22145 99.12365 100.29100 #> [118,] 98.89151 100.16667 99.67205 #> [119,] 100.12206 100.45445 98.98035 #> [120,] 100.62011 97.42862 100.27381 #> [121,] 98.78957 99.71182 100.82950 #> [122,] 99.47013 101.56326 99.00220 #> [123,] 98.66302 99.22963 100.77061 #> [124,] 103.17530 99.78989 98.87051 #> [125,] 101.54236 99.56128 100.88408 #> [126,] 100.30529 97.97432 99.65551 #> [127,] 100.41653 98.69798 100.18790 #> [128,] 98.60685 100.33753 99.38211 #> [129,] 97.59041 101.54701 100.74700 #> [130,] 102.71533 99.42912 99.57083 #> [131,] 100.15810 99.04184 100.12041 #> [132,] 100.19779 98.18260 99.34926 #> [133,] 99.18736 100.44620 101.06834 #> [134,] 100.57072 100.13519 101.25927 #> [135,] 101.43178 99.62606 98.75997 #> [136,] 100.21145 100.48916 99.57878 #> [137,] 100.40061 101.48055 100.16232 #> [138,] 99.26532 99.30583 99.34775 #> [139,] 98.92737 98.96843 101.67678 #> [140,] 100.59781 99.42692 100.24561 #> [141,] 100.59833 99.82121 100.39010 #> [142,] 100.34893 100.69117 99.64098 #> [143,] 100.93229 99.49657 98.85890 #> [144,] 101.38495 99.28113 97.71068 #> [145,] 101.28570 99.81622 101.27804 #> [146,] 99.37116 99.12229 99.50630 #> [147,] 100.91637 99.55796 100.27030 #> [148,] 100.05607 97.59046 100.13782 #> [149,] 98.86066 100.65749 100.19728 #> [150,] 100.64655 99.07906 98.43826 #> [151,] 101.89796 100.36051 99.75036 #> [152,] 99.22834 97.64830 102.19064 #> [153,] 99.13401 100.48403 100.41463 #> [154,] 99.54134 99.90891 100.07935 #> [155,] 101.20588 100.58404 98.35741 #> [156,] 98.65663 99.45701 99.84061 #> [157,] 99.33580 100.27103 100.20660 #> [158,] 99.55015 99.33020 99.20612 #> [159,] 100.84752 99.80871 98.13048 #> [160,] 101.74037 100.84512 101.23351 #> [161,] 99.70031 100.28413 99.32809 #> [162,] 100.48981 102.34927 100.66876 #> [163,] 100.94110 99.62395 100.16423 #> [164,] 100.35499 99.52542 101.12829 #> [165,] 99.97883 98.31042 100.89693 #> [166,] 99.53479 100.40510 99.23999 #> [167,] 100.30976 99.14864 98.87544 #> [168,] 99.19505 99.80158 98.66777 #> [169,] 99.87024 100.53820 99.94677 #> [170,] 99.36800 100.05817 100.88796 #> [171,] 98.83331 101.80895 100.16189 #> [172,] 99.62743 99.93840 100.67082 #> [173,] 99.42471 99.72378 99.77871 #> [174,] 100.29398 99.12843 98.62947 #> [175,] 98.58681 98.58413 98.73721 #> [176,] 98.70339 98.25356 100.96259 #> [177,] 100.23262 101.82966 99.29007 #> [178,] 100.39908 100.11528 100.02232 #> [179,] 99.10681 98.46119 99.39288 #> [180,] 99.34605 99.79197 101.48782 #> [181,] 99.92754 99.98381 101.13845 #> [182,] 99.57566 100.33337 100.26677 #> [183,] 100.72862 101.25448 98.62645 #> [184,] 100.66703 99.08472 99.80862 #> [185,] 99.34550 99.93820 99.99838 #> [186,] 100.02289 99.81615 98.43183 #> [187,] 101.91779 100.66520 99.01931 #> [188,] 98.86573 99.72140 101.12279 #> [189,] 102.81177 100.31035 100.19551 #> [190,] 100.96618 98.92151 101.20318 #> [191,] 101.68623 101.98610 101.26531 #> [192,] 99.95213 101.44912 100.18530 #> [193,] 99.36042 99.94494 99.00201 #> [194,] 99.79288 100.78682 100.69146 #> [195,] 101.39750 100.23960 100.41265 #> [196,] 100.69852 100.72249 100.31948 #> [197,] 99.56309 101.83804 101.06312 #> [198,] 100.88881 100.19511 98.57926 #> [199,] 99.72167 99.70177 102.37253 #> [200,] 102.14188 99.64349 99.48271 #>