Provides a wrapper for the bootstrap function boot from the
boot R package.
Implements non-parametric bootstraps for PLS
Regression models by either (Y,X) or (Y,T) resampling.
bootpls( object, typeboot = "plsmodel", R = 250, statistic = coefs.plsR, sim = "ordinary", stype = "i", stabvalue = 1e+06, verbose = TRUE, ... )
Arguments
| object | An object of class |
|---|---|
| typeboot | The type of bootstrap. Either (Y,X) boostrap
( |
| R | The number of bootstrap replicates. Usually this will be a single
positive integer. For importance resampling, some resamples may use one set
of weights and others use a different set of weights. In this case |
| statistic | A function which when applied to data returns a vector
containing the statistic(s) of interest. |
| sim | A character string indicating the type of simulation required.
Possible values are |
| stype | A character string indicating what the second argument of
|
| stabvalue | A value to hard threshold bootstrap estimates computed from atypical resamplings. Especially useful for Generalized Linear Models. |
| verbose | should info messages be displayed ? |
| ... | Other named arguments for |
Value
An object of class "boot". See the Value part of the help of
the function boot.
Details
More details on bootstrap techniques are available in the help of the
boot function.
References
A. Lazraq, R. Cleroux, and J.-P. Gauchi. (2003). Selecting both
latent and explanatory variables in the PLS1 regression model.
Chemometrics and Intelligent Laboratory Systems, 66(2):117-126.
P.
Bastien, V. Esposito-Vinzi, and M. Tenenhaus. (2005). PLS generalised linear
regression. Computational Statistics & Data Analysis, 48(1):17-46.
A. C. Davison and D. V. Hinkley. (1997). Bootstrap Methods and Their
Applications. Cambridge University Press, Cambridge.
See also
Author
Frédéric Bertrand
frederic.bertrand@utt.fr
https://fbertran.github.io/homepage/
Examples
data(Cornell) XCornell<-Cornell[,1:7] yCornell<-Cornell[,8] # Lazraq-Cleroux PLS ordinary bootstrap set.seed(250) modpls <- plsR(yCornell,XCornell,3)#> ____************************************************____ #> ____Component____ 1 ____ #> ____Component____ 2 ____ #> ____Component____ 3 ____ #> ____Predicting X without NA neither in X nor in Y____ #> ****________________________________________________**** #>#(Y,X) resampling Cornell.bootYX <- bootpls(modpls, R=250, verbose=FALSE) #(Y,T) resampling Cornell.bootYT <- bootpls(modpls, typeboot="fmodel_np", R=250, verbose=FALSE) # Using the boxplots.bootpls function boxplots.bootpls(Cornell.bootYX,indices=2:8)#> Warning: extreme order statistics used as endpoints#> Warning: extreme order statistics used as endpoints#> Warning: extreme order statistics used as endpoints#> #> X1 -0.2305299 -0.03654653 -0.2146155 -0.01243502 -0.2657483 -0.063567788 #> X2 -0.3824730 -0.12056633 -0.4240731 -0.16474400 -0.2526435 0.006685662 #> X3 -0.2262325 -0.03807142 -0.2115428 -0.01464437 -0.2604663 -0.063567788 #> X4 -0.4336032 -0.19861671 -0.4793055 -0.22524165 -0.3610949 -0.107030999 #> X5 -0.2895056 0.13307318 -0.3083408 0.07915147 -0.1560125 0.231479782 #> X6 0.3197348 0.65767612 0.3256605 0.67125328 0.2415264 0.587119147 #> X7 -0.2387634 -0.03963758 -0.2590735 -0.03271142 -0.2540574 -0.027695351 #> #> X1 -0.2867282 -0.07494113 #> X2 -0.2795110 -0.11744873 #> X3 -0.2795040 -0.07955903 #> X4 -0.4109452 -0.17018880 #> X5 -0.1803183 0.17569760 #> X6 0.3172633 0.64752609 #> X7 -0.2222602 0.03146667 #> attr(,"typeBCa") #> [1] TRUE#> Warning: extreme order statistics used as endpoints#> Warning: extreme order statistics used as endpoints#> Warning: extreme order statistics used as endpoints# Graph similar to the one of Bastien et al. in CSDA 2005 boxplot(as.vector(Cornell.bootYX$t[,-1])~factor(rep(1:7,rep(250,7))), main="Bootstrap distributions of standardised bj (j = 1, ..., 7).")# \donttest{ library(boot) boot.ci(Cornell.bootYX, conf = c(0.90,0.95), type = c("norm","basic","perc","bca"), index=2)#> BOOTSTRAP CONFIDENCE INTERVAL CALCULATIONS #> Based on 250 bootstrap replicates #> #> CALL : #> boot.ci(boot.out = Cornell.bootYX, conf = c(0.9, 0.95), type = c("norm", #> "basic", "perc", "bca"), index = 2) #> #> Intervals : #> Level Normal Basic #> 90% (-0.2149, -0.0521 ) (-0.1971, -0.0401 ) #> 95% (-0.2305, -0.0365 ) (-0.2146, -0.0124 ) #> #> Level Percentile BCa #> 90% (-0.2380, -0.0811 ) (-0.2573, -0.0857 ) #> 95% (-0.2657, -0.0636 ) (-0.2867, -0.0749 ) #> Calculations and Intervals on Original Scale #> Some basic intervals may be unstable #> Some percentile intervals may be unstable #> Some BCa intervals may be unstablecar::dataEllipse(Cornell.bootYX$t[,2], Cornell.bootYX$t[,3], cex=.3, levels=c(.5, .95, .99), robust=TRUE)rm(Cornell.bootYX) # PLS balanced bootstrap set.seed(225) Cornell.bootYX <- bootpls(modpls, sim="balanced", R=250, verbose=FALSE) boot.array(Cornell.bootYX, indices=TRUE)#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] #> [1,] 5 4 9 2 4 11 5 3 1 5 9 6 #> [2,] 1 10 4 1 8 3 7 2 11 8 5 11 #> [3,] 2 6 1 8 4 1 10 5 1 10 5 7 #> [4,] 7 9 2 12 5 7 6 9 7 7 6 8 #> [5,] 5 11 3 8 4 4 6 2 7 1 5 5 #> [6,] 2 6 4 10 9 11 7 8 5 12 12 4 #> [7,] 6 6 11 2 7 7 9 2 4 8 2 12 #> [8,] 5 9 9 11 10 10 7 2 3 10 2 6 #> [9,] 6 2 3 8 2 9 8 10 6 9 11 7 #> [10,] 5 8 4 4 2 12 4 1 10 12 8 12 #> [11,] 2 1 4 6 11 10 9 10 7 6 4 6 #> [12,] 1 1 1 1 10 2 9 1 12 7 10 1 #> [13,] 1 2 11 9 10 4 1 10 1 7 12 3 #> [14,] 11 3 1 7 5 12 6 6 9 8 1 7 #> [15,] 3 11 8 7 1 9 6 1 4 1 4 5 #> [16,] 10 12 12 8 9 6 3 5 1 2 8 12 #> [17,] 1 8 7 8 1 3 10 3 7 9 8 9 #> [18,] 5 1 1 1 5 4 4 11 8 7 3 9 #> [19,] 2 5 3 2 12 7 4 7 10 11 4 10 #> [20,] 2 4 2 11 10 10 10 5 7 7 4 12 #> [21,] 7 10 8 1 12 4 11 7 9 12 2 7 #> [22,] 5 5 11 6 8 6 12 9 7 9 4 5 #> [23,] 8 12 6 12 9 8 1 5 1 2 11 4 #> [24,] 2 2 3 6 10 1 9 11 11 8 2 2 #> [25,] 4 7 11 7 7 7 1 6 1 5 3 11 #> [26,] 4 11 8 8 1 2 6 9 10 11 6 10 #> [27,] 3 4 12 8 11 8 1 10 9 1 3 12 #> [28,] 6 8 6 6 4 7 10 9 3 7 10 8 #> [29,] 5 1 2 12 10 9 4 9 8 6 11 8 #> [30,] 11 12 4 8 8 10 3 10 8 2 2 7 #> [31,] 6 11 3 7 5 11 3 12 6 5 4 10 #> [32,] 8 7 8 4 1 7 3 7 1 11 4 6 #> [33,] 2 11 5 3 2 8 11 9 2 2 6 9 #> [34,] 6 1 6 4 8 6 6 3 8 2 3 5 #> [35,] 6 4 10 5 11 7 10 11 4 5 7 4 #> [36,] 4 8 1 10 4 4 6 7 6 7 2 10 #> [37,] 9 1 6 4 10 6 8 11 12 2 4 7 #> [38,] 11 9 6 7 6 3 3 11 7 6 3 11 #> [39,] 7 4 1 7 3 3 9 12 2 3 10 3 #> [40,] 6 2 5 1 9 8 10 12 2 3 5 1 #> [41,] 8 12 1 9 9 8 6 6 12 12 2 9 #> [42,] 1 3 7 11 10 10 11 11 9 1 2 11 #> [43,] 11 2 10 9 6 9 1 9 7 10 1 5 #> [44,] 11 2 12 7 11 1 12 6 9 10 6 5 #> [45,] 5 4 9 4 9 10 3 6 9 12 9 12 #> [46,] 8 2 1 11 6 8 10 11 11 12 9 4 #> [47,] 6 9 5 1 1 6 9 7 1 10 8 5 #> [48,] 6 5 3 3 12 10 11 12 11 4 11 11 #> [49,] 1 1 6 1 6 10 5 6 12 6 4 4 #> [50,] 2 2 1 12 11 2 12 7 5 5 3 9 #> [51,] 8 8 9 5 10 3 6 12 3 1 5 6 #> [52,] 4 12 9 9 5 10 9 6 8 8 5 11 #> [53,] 3 5 1 4 7 12 8 9 12 10 10 6 #> [54,] 3 5 11 3 11 12 7 11 10 4 9 2 #> [55,] 5 7 7 6 2 1 9 11 2 9 7 11 #> [56,] 8 4 2 7 8 1 6 6 11 3 8 2 #> [57,] 12 5 9 2 6 10 1 12 11 7 5 12 #> [58,] 1 12 6 12 7 5 2 6 9 1 6 12 #> [59,] 7 7 6 2 5 3 9 8 5 10 5 5 #> [60,] 7 5 2 5 4 7 2 8 4 8 6 2 #> [61,] 8 8 8 12 10 1 10 8 12 11 1 5 #> [62,] 1 9 9 4 3 4 7 1 1 11 7 6 #> [63,] 4 7 5 3 6 7 8 8 10 11 10 8 #> [64,] 2 10 11 6 6 9 11 6 11 3 8 8 #> [65,] 12 5 6 10 10 12 1 9 6 5 6 7 #> [66,] 11 9 2 12 5 2 9 11 5 2 6 7 #> [67,] 10 1 8 12 6 12 9 10 12 7 4 2 #> [68,] 7 5 8 3 6 12 12 8 3 6 12 1 #> [69,] 4 4 3 5 4 2 5 12 8 4 1 10 #> [70,] 10 11 11 8 8 6 1 9 7 8 11 11 #> [71,] 3 3 1 1 11 1 1 2 4 6 2 8 #> [72,] 12 12 8 8 8 12 2 10 3 11 5 11 #> [73,] 7 9 6 5 1 11 8 5 2 11 12 3 #> [74,] 6 9 1 10 9 3 1 3 1 4 5 4 #> [75,] 5 5 8 2 8 2 8 4 11 5 3 4 #> [76,] 8 2 4 9 8 12 10 6 3 4 11 9 #> [77,] 5 7 9 10 8 9 4 7 12 12 12 8 #> [78,] 6 9 9 3 7 3 4 12 4 7 3 11 #> [79,] 12 2 12 3 5 12 8 12 3 8 8 12 #> [80,] 12 4 7 6 8 5 7 3 8 9 11 3 #> [81,] 4 5 6 8 10 12 12 7 6 11 1 4 #> [82,] 8 3 10 11 5 5 4 12 10 2 8 4 #> [83,] 9 2 2 9 12 9 12 11 5 11 4 8 #> [84,] 4 7 9 9 1 2 12 7 9 3 11 12 #> [85,] 9 3 12 2 11 3 3 4 4 7 8 2 #> [86,] 6 2 2 7 12 3 8 10 2 5 10 10 #> [87,] 7 5 6 4 8 4 8 8 12 5 1 7 #> [88,] 5 4 11 4 2 4 4 9 3 1 8 12 #> [89,] 1 7 5 10 1 11 12 5 8 10 3 3 #> [90,] 9 2 6 8 4 8 1 1 9 6 2 3 #> [91,] 12 5 4 12 7 4 8 3 3 11 5 1 #> [92,] 5 12 10 4 3 11 9 11 3 12 9 1 #> [93,] 2 9 4 2 7 8 5 1 6 11 4 5 #> [94,] 10 1 2 7 7 2 9 2 5 12 6 11 #> [95,] 3 1 9 4 6 11 2 12 12 4 6 4 #> [96,] 8 9 3 1 1 11 9 3 12 12 11 5 #> [97,] 9 1 1 5 11 2 11 11 6 11 7 1 #> [98,] 8 11 4 1 3 5 9 1 10 8 8 2 #> [99,] 8 6 3 4 7 1 6 6 7 7 2 9 #> [100,] 10 9 10 2 11 7 1 5 9 5 4 6 #> [101,] 5 6 2 3 6 8 10 1 11 4 2 5 #> [102,] 7 6 1 9 1 1 10 8 9 12 11 11 #> [103,] 2 1 7 3 10 5 3 6 8 10 8 6 #> [104,] 1 9 5 4 4 11 10 2 5 2 2 2 #> [105,] 2 1 2 8 7 12 7 10 9 3 9 5 #> [106,] 1 1 12 8 3 6 8 6 3 3 9 10 #> [107,] 3 5 10 10 11 5 8 10 11 1 12 7 #> [108,] 4 12 7 10 1 10 11 1 10 12 3 8 #> [109,] 11 10 3 7 12 4 12 11 6 7 4 10 #> [110,] 11 4 5 2 12 8 7 7 12 8 3 2 #> [111,] 5 11 3 12 9 3 5 6 6 11 10 4 #> [112,] 11 6 6 5 4 1 6 11 11 12 10 9 #> [113,] 9 12 3 9 9 8 3 10 12 5 11 10 #> [114,] 12 8 6 3 2 4 1 1 12 7 7 12 #> [115,] 9 4 3 9 10 7 4 5 2 9 9 8 #> [116,] 4 7 3 4 6 5 4 6 10 5 3 12 #> [117,] 1 8 2 10 11 10 11 1 12 12 1 2 #> [118,] 6 7 3 7 7 8 9 11 12 9 12 5 #> [119,] 3 9 6 5 8 8 2 8 10 4 1 2 #> [120,] 5 9 11 2 10 10 2 10 12 4 11 6 #> [121,] 9 6 9 4 8 2 12 11 12 3 2 4 #> [122,] 9 11 7 11 2 4 12 4 2 4 9 9 #> [123,] 3 1 4 5 9 7 10 3 7 9 7 10 #> [124,] 5 6 9 3 3 4 11 11 8 1 6 6 #> [125,] 6 8 9 7 2 4 7 10 3 5 2 7 #> [126,] 3 7 2 2 11 7 12 6 10 10 7 1 #> [127,] 10 5 8 3 10 1 11 5 10 4 3 11 #> [128,] 9 6 3 4 2 2 10 2 1 2 11 1 #> [129,] 4 9 1 4 3 9 10 3 12 9 2 6 #> [130,] 11 10 9 10 3 6 8 11 12 6 3 5 #> [131,] 4 3 11 9 7 10 5 8 1 12 9 4 #> [132,] 11 1 9 6 10 10 6 5 2 2 11 4 #> [133,] 10 7 9 9 10 6 6 3 8 3 5 6 #> [134,] 3 8 6 10 12 3 4 11 7 10 4 11 #> [135,] 4 1 6 5 2 8 10 5 9 11 2 11 #> [136,] 11 4 11 2 11 8 10 7 7 9 2 12 #> [137,] 5 2 10 4 12 6 7 5 1 1 9 4 #> [138,] 7 7 1 8 3 4 3 2 6 5 7 1 #> [139,] 12 2 8 3 2 2 7 11 11 4 6 10 #> [140,] 3 3 7 6 8 9 4 6 8 4 7 1 #> [141,] 4 2 3 12 9 10 10 10 5 6 12 10 #> [142,] 4 9 8 8 3 3 4 10 10 1 7 7 #> [143,] 12 3 10 9 2 8 8 6 10 7 9 10 #> [144,] 7 3 4 5 11 2 12 12 7 12 6 10 #> [145,] 1 3 6 9 12 12 10 12 8 11 7 4 #> [146,] 7 3 11 3 12 4 10 4 10 2 5 6 #> [147,] 12 3 8 3 5 11 2 6 7 5 3 10 #> [148,] 3 12 6 4 7 12 6 11 4 2 5 3 #> [149,] 8 5 12 2 10 2 7 4 2 8 11 2 #> [150,] 12 6 7 6 12 4 12 9 3 12 4 3 #> [151,] 11 5 5 4 7 10 2 12 9 10 6 2 #> [152,] 9 3 8 2 7 7 1 6 9 3 8 3 #> [153,] 4 2 7 1 5 3 6 6 7 8 11 4 #> [154,] 1 5 7 5 8 12 4 6 6 9 6 9 #> [155,] 4 8 4 1 8 2 6 4 6 10 9 6 #> [156,] 4 11 3 10 3 2 5 2 12 11 1 5 #> [157,] 12 7 1 11 2 6 3 8 3 8 11 7 #> [158,] 2 2 3 11 11 11 3 6 7 9 11 6 #> [159,] 8 11 2 10 1 11 12 11 3 4 2 5 #> [160,] 4 10 1 5 10 1 6 11 1 6 5 2 #> [161,] 11 9 3 11 6 10 2 11 6 7 9 8 #> [162,] 10 11 1 7 2 6 12 8 6 3 10 11 #> [163,] 11 10 7 1 2 3 4 9 8 6 7 7 #> [164,] 9 2 10 8 1 8 3 10 5 4 9 5 #> [165,] 5 1 4 6 10 7 5 6 2 3 2 2 #> [166,] 8 12 10 3 7 7 3 3 11 12 9 12 #> [167,] 4 9 4 11 8 9 4 6 8 4 3 10 #> [168,] 9 5 3 5 2 10 12 7 12 10 4 11 #> [169,] 2 3 2 10 5 8 7 5 12 7 2 10 #> [170,] 10 6 10 8 6 12 6 3 9 6 6 3 #> [171,] 6 5 6 7 7 12 1 9 4 4 12 3 #> [172,] 5 12 5 12 1 8 5 7 7 1 8 8 #> [173,] 9 7 2 2 1 9 8 5 3 5 5 2 #> [174,] 12 2 10 4 10 5 10 7 5 10 1 6 #> [175,] 1 5 1 11 11 12 10 1 3 12 5 1 #> [176,] 4 8 12 4 9 7 4 12 8 4 1 9 #> [177,] 1 10 2 4 11 4 9 4 2 5 9 8 #> [178,] 10 6 6 2 4 6 5 2 1 10 9 8 #> [179,] 9 8 7 7 8 3 1 5 11 9 11 5 #> [180,] 1 9 11 6 2 10 1 11 11 6 12 3 #> [181,] 9 9 10 6 9 6 6 7 2 12 3 5 #> [182,] 12 2 2 9 7 3 7 4 11 10 3 8 #> [183,] 8 2 9 8 12 1 8 9 10 2 10 5 #> [184,] 11 5 12 10 12 9 1 10 2 12 12 5 #> [185,] 10 1 11 4 8 9 5 6 1 8 10 1 #> [186,] 4 12 5 9 12 1 5 12 9 8 4 9 #> [187,] 3 9 9 9 6 5 7 5 8 4 6 10 #> [188,] 1 5 1 1 2 6 11 8 10 1 5 6 #> [189,] 4 6 5 6 4 12 9 8 2 1 12 9 #> [190,] 3 5 2 4 11 10 12 6 10 11 3 12 #> [191,] 7 9 5 4 8 12 3 4 12 3 8 12 #> [192,] 5 3 7 5 2 11 8 9 11 6 6 7 #> [193,] 3 10 10 8 9 5 10 3 6 9 7 4 #> [194,] 8 7 4 2 7 3 9 3 4 9 2 2 #> [195,] 7 12 8 5 4 10 7 1 10 7 1 7 #> [196,] 4 10 3 12 10 12 7 7 9 8 6 2 #> [197,] 9 2 1 7 11 5 2 10 6 5 12 8 #> [198,] 6 2 11 12 2 8 11 1 9 1 8 11 #> [199,] 4 3 1 3 12 2 11 7 6 4 5 7 #> [200,] 9 2 5 5 9 7 2 2 7 3 5 4 #> [201,] 2 1 10 10 8 5 1 2 6 11 9 4 #> [202,] 5 1 12 11 1 8 5 3 4 9 9 2 #> [203,] 6 12 2 6 8 4 3 12 2 12 1 3 #> [204,] 12 8 3 1 10 4 3 3 8 3 3 10 #> [205,] 1 6 12 5 10 2 7 6 3 9 2 2 #> [206,] 7 8 5 7 12 3 4 6 7 3 11 12 #> [207,] 1 10 12 3 12 3 12 4 3 10 9 6 #> [208,] 2 12 9 10 11 7 8 10 7 9 4 7 #> [209,] 6 11 4 7 9 11 11 1 8 11 8 7 #> [210,] 8 1 9 3 7 7 4 4 3 1 8 1 #> [211,] 5 3 1 9 12 6 10 4 5 12 3 11 #> [212,] 2 2 9 8 7 7 10 9 1 5 4 7 #> [213,] 10 1 4 5 1 9 8 6 9 8 3 11 #> [214,] 4 2 6 3 11 3 5 9 4 1 8 12 #> [215,] 4 10 5 4 9 3 8 12 5 1 6 4 #> [216,] 2 3 5 3 1 11 7 5 1 12 2 9 #> [217,] 3 12 11 7 12 9 6 11 10 6 4 8 #> [218,] 8 6 3 2 9 5 8 9 9 2 7 3 #> [219,] 1 7 6 11 3 4 1 11 12 10 2 9 #> [220,] 11 11 3 8 10 9 8 9 9 10 8 6 #> [221,] 7 8 1 7 4 8 10 5 7 2 3 4 #> [222,] 12 2 6 8 11 3 2 2 3 4 10 3 #> [223,] 10 1 4 11 4 12 10 2 9 11 10 3 #> [224,] 3 8 4 5 8 4 1 8 11 9 12 3 #> [225,] 1 12 7 5 12 5 1 8 2 11 7 11 #> [226,] 9 1 11 12 11 1 3 10 1 4 8 8 #> [227,] 1 11 5 4 1 10 5 12 3 10 5 12 #> [228,] 12 1 10 12 9 5 11 4 2 6 11 5 #> [229,] 10 6 2 1 12 11 8 11 11 9 2 5 #> [230,] 5 4 2 11 1 10 11 7 6 3 2 9 #> [231,] 1 1 8 2 6 7 1 12 12 10 4 3 #> [232,] 3 8 10 3 8 10 3 5 10 7 6 6 #> [233,] 7 5 6 2 2 2 12 6 3 4 2 1 #> [234,] 4 3 10 11 8 7 7 6 5 4 4 1 #> [235,] 6 4 2 6 3 11 6 5 4 5 11 7 #> [236,] 5 4 5 11 2 9 7 5 12 5 7 12 #> [237,] 9 4 3 12 3 12 6 1 10 3 11 1 #> [238,] 7 3 5 11 8 5 11 1 5 7 1 10 #> [239,] 1 7 6 3 7 2 7 1 5 2 4 5 #> [240,] 10 11 1 2 12 8 12 4 7 5 1 3 #> [241,] 8 5 9 11 11 1 6 3 4 11 2 2 #> [242,] 5 11 10 10 12 10 12 4 1 9 4 1 #> [243,] 12 3 7 5 5 10 3 6 8 12 1 10 #> [244,] 5 1 6 2 10 9 8 5 9 12 5 9 #> [245,] 10 4 3 6 12 11 11 12 1 12 2 6 #> [246,] 1 3 2 11 7 9 1 5 5 8 12 5 #> [247,] 10 4 8 9 12 7 10 10 1 9 8 2 #> [248,] 5 12 1 7 5 12 10 8 1 7 8 7 #> [249,] 9 7 3 8 8 5 9 7 10 7 1 11 #> [250,] 7 7 6 11 11 2 9 7 9 3 7 10#> Warning: extreme order statistics used as endpoints#> Warning: extreme order statistics used as endpoints#> Warning: extreme order statistics used as endpoints#> Warning: extreme order statistics used as endpoints#> #> X1 -0.2192145 -0.03502591 -0.2119416 -0.02617619 -0.2520071 -0.066241725 #> X2 -0.3828012 -0.11801756 -0.4193349 -0.15286851 -0.2645190 0.001947385 #> X3 -0.2154695 -0.03582192 -0.2088689 -0.02820433 -0.2469063 -0.066241725 #> X4 -0.4379789 -0.21238307 -0.4660525 -0.22425891 -0.3620776 -0.120283989 #> X5 -0.2967356 0.13546366 -0.2921161 0.09312255 -0.1699835 0.215255066 #> X6 0.3276202 0.67729268 0.3397828 0.68421162 0.2285681 0.572996919 #> X7 -0.2394465 -0.03754892 -0.2166742 -0.03032279 -0.2564461 -0.070094620 #> #> X1 -0.2459524 -0.04831319 #> X2 -0.2918411 -0.11466891 #> X3 -0.2394376 -0.04850420 #> X4 -0.4645601 -0.20487969 #> X5 -0.2196585 0.18011275 #> X6 0.3325666 0.69760910 #> X7 -0.2561586 -0.06959096 #> attr(,"typeBCa") #> [1] TRUE#> Warning: extreme order statistics used as endpoints#> Warning: extreme order statistics used as endpoints#> Warning: extreme order statistics used as endpoints#> Warning: extreme order statistics used as endpoints# Graph similar to the one of Bastien et al. in CSDA 2005 boxplot(as.vector(Cornell.bootYX$t[,-1])~factor(rep(1:7,rep(250,7))), main="Bootstrap distributions of standardised bj (j = 1, ..., 7).")library(boot) boot.ci(Cornell.bootYX, conf = c(0.90,0.95), type = c("norm","basic","perc","bca"), index=2, verbose=FALSE)#> BOOTSTRAP CONFIDENCE INTERVAL CALCULATIONS #> Based on 250 bootstrap replicates #> #> CALL : #> boot.ci(boot.out = Cornell.bootYX, conf = c(0.9, 0.95), type = c("norm", #> "basic", "perc", "bca"), index = 2, verbose = FALSE) #> #> Intervals : #> Level Normal Basic #> 90% (-0.2044, -0.0498 ) (-0.1967, -0.0406 ) #> 95% (-0.2192, -0.0350 ) (-0.2119, -0.0262 ) #> #> Level Percentile BCa #> 90% (-0.2376, -0.0815 ) (-0.2216, -0.0718 ) #> 95% (-0.2520, -0.0662 ) (-0.2460, -0.0483 ) #> Calculations and Intervals on Original Scale #> Some basic intervals may be unstable #> Some percentile intervals may be unstable #> Some BCa intervals may be unstablerm(Cornell.bootYX) # PLS permutation bootstrap set.seed(500) Cornell.bootYX <- bootpls(modpls, sim="permutation", R=1000, verbose=FALSE) boot.array(Cornell.bootYX, indices=TRUE)#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] #> [1,] 7 11 5 2 1 12 4 9 10 6 3 8 #> [2,] 10 6 12 9 8 2 11 4 7 1 5 3 #> [3,] 6 12 1 5 2 10 11 3 4 9 8 7 #> [4,] 5 7 9 4 11 2 6 8 12 1 10 3 #> [5,] 5 9 7 6 12 10 4 11 8 2 1 3 #> [6,] 8 12 7 10 1 4 3 2 5 6 9 11 #> [7,] 1 2 5 6 4 7 12 10 8 11 9 3 #> [8,] 9 1 12 7 2 11 8 3 5 6 10 4 #> [9,] 2 10 5 6 11 12 8 1 4 3 7 9 #> [10,] 10 1 9 7 12 3 4 11 5 8 2 6 #> [11,] 8 3 6 12 10 7 1 9 11 4 2 5 #> [12,] 9 2 4 1 3 10 6 12 11 7 5 8 #> [13,] 5 10 1 3 2 11 12 4 7 8 6 9 #> [14,] 7 4 3 2 9 12 10 11 8 5 1 6 #> [15,] 9 5 11 3 4 6 8 2 1 7 10 12 #> [16,] 3 9 1 12 4 5 6 7 11 2 8 10 #> [17,] 1 3 8 2 5 6 11 10 4 7 12 9 #> [18,] 5 12 2 10 4 11 9 3 1 6 7 8 #> [19,] 12 1 5 4 3 2 6 10 9 7 11 8 #> [20,] 12 11 6 8 2 5 1 3 7 9 4 10 #> [21,] 3 4 12 9 7 8 11 6 1 2 5 10 #> [22,] 4 2 1 5 6 10 7 11 3 8 9 12 #> [23,] 2 9 5 1 12 3 8 10 11 6 4 7 #> [24,] 9 5 7 4 12 2 6 1 10 11 3 8 #> [25,] 5 8 4 1 6 12 10 9 11 2 3 7 #> [26,] 5 7 8 12 3 2 4 10 6 9 11 1 #> [27,] 5 8 1 11 6 9 3 2 12 4 10 7 #> [28,] 3 8 12 4 11 10 2 5 7 6 1 9 #> [29,] 9 5 7 1 2 4 6 12 10 11 3 8 #> [30,] 7 3 11 6 2 1 8 12 9 5 10 4 #> [31,] 9 1 6 2 8 3 12 11 4 5 7 10 #> [32,] 3 8 7 9 4 6 2 10 1 5 12 11 #> [33,] 3 4 6 8 12 1 7 10 11 2 9 5 #> [34,] 9 10 12 8 3 4 6 5 2 1 11 7 #> [35,] 7 8 6 3 12 4 9 5 2 10 11 1 #> [36,] 5 9 6 11 7 4 12 8 3 1 2 10 #> [37,] 9 6 8 3 12 10 4 5 11 1 7 2 #> [38,] 7 9 12 10 5 6 2 3 1 8 11 4 #> [39,] 6 1 2 10 11 4 7 12 9 8 5 3 #> [40,] 6 1 5 9 3 7 10 11 4 2 8 12 #> [41,] 11 1 4 8 5 9 10 12 7 6 3 2 #> [42,] 2 3 1 12 8 4 9 6 11 5 7 10 #> [43,] 4 3 6 5 8 11 2 12 10 7 9 1 #> [44,] 4 7 11 3 10 5 2 1 6 8 9 12 #> [45,] 2 1 10 9 3 6 5 12 4 8 7 11 #> [46,] 12 8 10 7 3 11 4 1 9 6 5 2 #> [47,] 11 3 7 5 8 4 9 2 1 6 12 10 #> [48,] 11 5 1 3 2 8 7 4 12 6 10 9 #> [49,] 2 3 4 8 7 1 11 5 10 9 6 12 #> [50,] 12 10 5 2 6 3 1 7 11 8 9 4 #> [51,] 1 10 4 6 5 7 3 8 9 2 12 11 #> [52,] 6 9 7 2 11 8 12 3 4 1 10 5 #> [53,] 11 9 8 4 6 12 5 1 7 2 10 3 #> [54,] 12 9 8 3 4 1 11 6 7 2 10 5 #> [55,] 4 7 6 3 10 12 2 9 1 11 8 5 #> [56,] 10 8 4 5 9 7 12 6 11 2 1 3 #> [57,] 8 5 12 7 9 2 6 1 11 3 10 4 #> [58,] 9 1 6 5 12 11 7 3 10 4 8 2 #> [59,] 3 7 4 9 6 2 1 12 5 10 8 11 #> [60,] 12 7 11 4 8 9 10 6 5 2 1 3 #> [61,] 9 1 3 7 4 5 8 6 10 11 12 2 #> [62,] 8 5 2 11 10 1 7 4 6 3 9 12 #> [63,] 1 7 10 3 4 6 12 8 9 2 5 11 #> [64,] 6 11 8 7 3 4 5 1 2 9 10 12 #> [65,] 10 5 4 3 7 6 8 12 1 11 9 2 #> [66,] 11 7 6 12 3 2 9 10 4 8 1 5 #> [67,] 5 7 9 2 6 3 12 11 1 8 10 4 #> [68,] 11 3 8 6 10 4 7 2 1 9 12 5 #> [69,] 5 7 4 12 2 3 11 10 9 1 8 6 #> [70,] 1 4 3 12 10 6 5 11 2 8 9 7 #> [71,] 11 2 12 7 8 1 6 10 4 3 9 5 #> [72,] 4 5 9 8 7 10 12 2 3 11 6 1 #> [73,] 8 10 11 5 7 4 9 1 2 6 12 3 #> [74,] 9 3 5 2 8 4 1 6 12 10 11 7 #> [75,] 12 2 8 9 7 4 3 10 6 1 5 11 #> [76,] 4 6 3 1 10 2 8 12 5 9 7 11 #> [77,] 1 5 11 4 2 6 10 3 12 8 9 7 #> [78,] 2 3 8 10 7 12 1 6 5 9 11 4 #> [79,] 11 4 8 10 6 12 5 7 3 1 9 2 #> [80,] 4 8 3 6 9 1 11 7 2 12 5 10 #> [81,] 6 9 7 10 3 11 1 8 5 4 12 2 #> [82,] 4 9 11 1 12 5 7 8 3 10 2 6 #> [83,] 9 3 1 11 4 6 8 5 12 10 7 2 #> [84,] 1 2 11 5 9 4 6 8 10 7 3 12 #> [85,] 12 7 9 5 10 2 4 1 11 8 6 3 #> [86,] 7 12 3 5 2 11 1 4 6 8 10 9 #> [87,] 8 1 11 12 2 4 9 6 5 10 7 3 #> [88,] 10 2 5 12 6 1 3 11 4 9 7 8 #> [89,] 12 1 4 2 8 5 9 7 11 6 10 3 #> [90,] 1 12 11 9 6 5 4 2 8 10 7 3 #> [91,] 11 2 1 7 12 8 3 4 10 5 6 9 #> [92,] 5 1 8 2 4 6 12 10 9 3 7 11 #> [93,] 2 3 1 5 10 12 4 9 7 8 6 11 #> [94,] 6 1 2 5 12 10 11 8 4 7 9 3 #> [95,] 7 6 12 5 10 4 3 2 1 11 8 9 #> [96,] 2 3 9 10 7 1 5 6 4 12 8 11 #> [97,] 8 12 3 4 10 9 2 1 11 7 5 6 #> [98,] 8 6 2 1 7 10 11 5 9 3 12 4 #> [99,] 10 8 1 9 11 5 3 7 12 2 6 4 #> [100,] 4 7 1 10 6 11 3 12 2 5 8 9 #> [101,] 6 7 9 2 10 8 3 12 1 4 5 11 #> [102,] 9 12 6 7 3 4 11 1 5 2 8 10 #> [103,] 2 3 12 1 11 6 5 7 10 8 9 4 #> [104,] 6 8 7 1 11 4 2 12 3 5 10 9 #> [105,] 11 9 4 3 8 6 7 10 12 2 1 5 #> [106,] 5 6 11 2 12 8 10 9 7 4 3 1 #> [107,] 3 8 4 1 12 2 9 6 11 7 5 10 #> [108,] 2 8 1 10 12 4 9 11 5 7 6 3 #> [109,] 7 4 6 2 11 9 1 10 3 8 12 5 #> [110,] 2 11 1 12 7 4 8 3 10 9 6 5 #> [111,] 5 7 12 6 2 1 9 3 4 8 10 11 #> [112,] 10 12 4 9 3 8 1 6 11 5 2 7 #> [113,] 5 9 7 1 10 11 8 12 3 6 4 2 #> [114,] 4 2 3 6 10 11 7 8 1 12 5 9 #> [115,] 12 1 9 11 3 8 6 4 5 7 2 10 #> [116,] 9 6 4 3 11 5 2 1 12 8 10 7 #> [117,] 8 9 5 7 1 10 11 3 6 2 12 4 #> [118,] 3 12 9 2 10 1 5 8 7 4 11 6 #> [119,] 10 1 12 3 5 8 6 4 9 2 11 7 #> [120,] 1 11 10 2 12 3 7 5 4 8 9 6 #> [121,] 8 5 3 7 2 9 4 12 10 11 6 1 #> [122,] 7 9 10 5 12 6 3 11 8 4 1 2 #> [123,] 2 8 5 1 3 11 10 7 9 4 12 6 #> [124,] 8 9 2 11 5 7 6 4 3 1 10 12 #> [125,] 8 10 1 2 5 7 6 4 12 9 11 3 #> [126,] 3 5 6 7 2 1 10 12 9 11 4 8 #> [127,] 4 10 3 1 7 12 5 2 8 9 11 6 #> [128,] 7 3 10 2 5 8 4 12 9 1 11 6 #> [129,] 7 10 11 3 1 4 9 2 6 12 8 5 #> [130,] 12 6 1 2 3 7 11 5 8 10 9 4 #> [131,] 8 1 11 9 5 7 2 10 3 12 6 4 #> [132,] 9 5 11 8 3 6 10 2 1 12 7 4 #> [133,] 8 5 9 7 11 1 10 12 6 2 3 4 #> [134,] 11 6 9 10 3 8 5 7 2 1 4 12 #> [135,] 8 11 12 9 3 2 10 1 7 5 4 6 #> [136,] 9 2 10 4 12 8 6 1 5 3 7 11 #> [137,] 10 7 9 8 4 3 1 11 6 12 2 5 #> [138,] 12 2 7 10 5 11 8 6 1 4 3 9 #> [139,] 11 10 8 3 9 4 2 5 6 7 12 1 #> [140,] 11 9 4 5 3 6 1 8 12 2 7 10 #> [141,] 2 6 12 1 3 7 4 5 8 9 10 11 #> [142,] 12 1 3 8 10 11 5 4 9 7 2 6 #> [143,] 6 8 1 12 3 7 2 9 5 10 4 11 #> [144,] 11 1 8 12 5 2 3 9 6 10 7 4 #> [145,] 10 6 7 9 1 5 11 12 4 8 2 3 #> [146,] 6 5 8 9 1 4 3 11 7 10 2 12 #> [147,] 6 2 1 7 8 9 10 5 11 4 3 12 #> [148,] 10 12 9 3 5 2 8 6 4 11 7 1 #> [149,] 10 3 4 7 9 8 11 2 6 5 1 12 #> [150,] 1 9 2 4 10 12 11 8 6 7 5 3 #> [151,] 4 1 6 11 10 3 8 5 9 12 2 7 #> [152,] 8 3 2 7 6 4 10 5 1 12 11 9 #> [153,] 1 2 11 12 6 8 3 4 5 10 9 7 #> [154,] 1 9 6 5 3 4 10 11 8 2 7 12 #> [155,] 9 7 5 3 2 12 8 4 11 1 10 6 #> [156,] 11 8 3 2 10 6 5 12 7 4 1 9 #> [157,] 4 2 10 5 11 3 7 12 8 6 9 1 #> [158,] 2 12 4 6 11 1 10 9 8 5 3 7 #> [159,] 7 8 5 9 4 3 6 1 11 12 10 2 #> [160,] 2 1 8 11 5 9 7 4 12 10 6 3 #> [161,] 7 1 12 6 8 9 10 5 11 4 2 3 #> [162,] 10 11 6 7 2 5 1 3 12 4 9 8 #> [163,] 12 8 6 1 7 2 11 3 5 4 10 9 #> [164,] 6 2 12 8 1 5 10 3 7 4 9 11 #> [165,] 1 3 11 12 10 9 5 4 2 6 8 7 #> [166,] 12 5 1 2 8 4 9 3 7 10 6 11 #> [167,] 1 8 5 11 3 12 7 9 2 4 10 6 #> [168,] 10 11 3 4 12 5 2 7 9 6 1 8 #> [169,] 11 9 5 1 4 10 12 3 6 2 7 8 #> [170,] 8 10 12 4 3 2 1 7 11 9 5 6 #> [171,] 2 5 3 8 10 7 9 4 12 11 6 1 #> [172,] 8 6 5 11 9 10 1 2 7 12 3 4 #> [173,] 4 10 12 8 2 9 7 1 5 11 6 3 #> [174,] 11 10 6 5 3 2 4 7 12 9 1 8 #> [175,] 12 3 10 5 1 11 8 9 4 7 6 2 #> [176,] 9 6 7 8 11 3 5 10 2 12 4 1 #> [177,] 5 8 2 3 6 11 10 9 1 7 4 12 #> [178,] 5 12 8 3 9 4 1 10 11 6 2 7 #> [179,] 3 12 6 10 9 8 1 11 2 4 7 5 #> [180,] 4 12 1 3 8 10 11 5 7 2 9 6 #> [181,] 11 4 5 6 3 2 1 8 12 9 10 7 #> [182,] 7 12 3 1 6 2 5 11 8 10 9 4 #> [183,] 1 4 9 3 5 10 11 7 12 8 6 2 #> [184,] 12 9 3 5 11 6 8 4 1 7 10 2 #> [185,] 7 4 6 8 9 5 1 10 11 12 2 3 #> [186,] 2 9 8 12 1 11 5 3 10 4 7 6 #> [187,] 2 4 11 5 10 8 7 1 3 9 6 12 #> [188,] 4 2 9 7 1 8 11 3 5 12 6 10 #> [189,] 6 11 1 8 10 7 5 12 3 2 9 4 #> [190,] 12 7 10 11 8 3 4 6 5 9 1 2 #> [191,] 5 4 11 2 10 1 12 3 9 7 6 8 #> [192,] 1 8 2 7 10 5 6 11 4 3 9 12 #> [193,] 10 2 7 5 6 12 11 3 4 9 1 8 #> [194,] 4 8 5 10 11 6 3 12 7 1 9 2 #> [195,] 3 12 9 11 2 8 10 6 5 7 1 4 #> [196,] 8 4 12 2 3 9 10 7 5 6 1 11 #> [197,] 10 3 5 2 9 4 7 12 6 1 8 11 #> [198,] 1 6 2 10 9 8 7 4 5 11 3 12 #> [199,] 3 1 10 11 7 6 2 12 8 5 4 9 #> [200,] 11 4 3 5 9 10 12 1 6 7 8 2 #> [201,] 4 8 6 11 2 3 1 9 7 12 10 5 #> [202,] 7 11 2 5 12 3 10 6 1 4 9 8 #> [203,] 4 8 6 5 11 9 3 1 2 12 10 7 #> [204,] 5 10 7 3 9 2 4 8 11 1 12 6 #> [205,] 8 9 10 5 4 12 11 2 3 6 1 7 #> [206,] 3 10 9 5 6 8 4 1 11 2 12 7 #> [207,] 2 7 5 3 9 12 6 1 11 10 8 4 #> [208,] 1 4 12 2 9 7 8 6 3 5 10 11 #> [209,] 10 9 6 7 12 1 8 2 3 5 11 4 #> [210,] 1 9 8 12 11 2 7 6 4 10 3 5 #> [211,] 1 10 5 7 4 8 2 3 6 12 9 11 #> [212,] 3 1 4 7 12 2 11 10 6 5 8 9 #> [213,] 3 9 2 10 12 5 6 8 11 1 4 7 #> [214,] 4 2 3 12 10 11 1 9 8 6 7 5 #> [215,] 2 5 3 4 1 6 10 8 9 7 12 11 #> [216,] 1 2 4 10 9 6 3 5 7 12 11 8 #> [217,] 11 7 6 1 2 4 9 3 8 10 12 5 #> [218,] 5 2 3 11 6 1 8 12 10 7 4 9 #> [219,] 8 2 11 3 6 4 10 12 5 9 7 1 #> [220,] 12 1 10 2 11 4 7 8 6 9 5 3 #> [221,] 3 4 9 2 5 11 12 1 10 8 7 6 #> [222,] 9 5 6 4 2 7 8 11 10 3 12 1 #> [223,] 11 2 5 9 1 8 3 10 6 7 4 12 #> [224,] 4 7 9 5 10 12 2 8 1 11 3 6 #> [225,] 10 3 12 1 11 2 8 7 9 5 4 6 #> [226,] 7 3 9 1 10 6 5 2 8 4 11 12 #> [227,] 8 3 2 5 4 11 1 9 12 6 10 7 #> [228,] 8 3 5 9 4 11 2 12 1 6 10 7 #> [229,] 10 4 5 2 8 1 3 12 6 11 9 7 #> [230,] 2 11 6 1 4 12 3 8 10 7 9 5 #> [231,] 2 9 4 8 1 3 6 12 5 7 10 11 #> [232,] 12 2 3 7 1 10 8 4 6 5 11 9 #> [233,] 5 11 6 4 7 12 10 1 8 9 2 3 #> [234,] 10 1 6 4 3 8 11 7 5 2 12 9 #> [235,] 6 3 7 8 12 2 5 4 1 10 9 11 #> [236,] 11 5 4 6 7 1 9 2 12 8 3 10 #> [237,] 6 5 4 2 7 12 8 1 11 9 3 10 #> [238,] 10 4 6 12 7 1 3 11 5 8 9 2 #> [239,] 12 2 7 3 8 9 6 5 4 11 10 1 #> [240,] 2 3 9 5 4 10 12 6 1 8 7 11 #> [241,] 7 1 4 8 11 6 5 9 12 3 10 2 #> [242,] 1 11 10 4 5 12 2 3 8 7 6 9 #> [243,] 3 6 7 2 1 9 12 5 11 10 8 4 #> [244,] 8 2 4 9 5 3 6 12 11 10 7 1 #> [245,] 9 10 1 5 8 4 12 6 3 2 7 11 #> [246,] 11 12 3 10 6 9 1 2 5 4 8 7 #> [247,] 9 1 6 8 11 7 2 5 12 10 4 3 #> [248,] 12 9 11 2 7 10 1 4 3 5 8 6 #> [249,] 5 6 8 12 1 3 10 9 11 7 4 2 #> [250,] 7 5 4 1 11 6 10 2 9 8 12 3 #> [251,] 11 12 6 8 7 3 9 1 2 4 5 10 #> [252,] 9 1 4 2 8 5 3 10 7 6 11 12 #> [253,] 11 1 3 7 10 8 9 6 12 4 2 5 #> [254,] 3 8 5 12 6 1 2 11 9 10 4 7 #> [255,] 3 8 10 11 9 4 2 6 12 7 1 5 #> [256,] 4 1 12 10 11 5 7 2 9 3 6 8 #> [257,] 6 9 1 2 7 8 11 3 4 5 12 10 #> [258,] 10 4 7 2 12 5 1 8 11 3 6 9 #> [259,] 12 1 9 10 8 3 7 4 6 2 11 5 #> [260,] 10 9 1 7 5 4 8 3 6 2 12 11 #> [261,] 2 3 12 9 5 1 4 7 10 6 8 11 #> [262,] 6 5 9 10 12 2 7 3 8 11 4 1 #> [263,] 8 12 10 11 1 2 5 6 4 3 7 9 #> [264,] 9 1 6 7 3 8 2 4 5 10 12 11 #> [265,] 8 4 10 12 5 11 3 6 2 7 1 9 #> [266,] 4 11 9 10 3 2 5 8 7 6 12 1 #> [267,] 3 12 8 10 9 2 6 1 4 5 11 7 #> [268,] 4 10 11 7 1 2 12 9 3 5 6 8 #> [269,] 10 3 1 6 11 2 12 9 8 4 7 5 #> [270,] 4 12 6 1 11 2 8 7 10 3 5 9 #> [271,] 2 6 1 12 9 10 11 3 8 4 7 5 #> [272,] 6 4 10 2 12 1 7 3 8 11 5 9 #> [273,] 4 11 5 1 12 6 9 8 2 3 7 10 #> [274,] 8 12 6 5 3 7 11 2 1 10 9 4 #> [275,] 1 8 7 12 9 4 6 2 10 5 3 11 #> [276,] 12 5 7 11 2 10 4 8 3 9 1 6 #> [277,] 4 5 1 9 7 2 11 10 12 3 6 8 #> [278,] 1 10 3 2 6 12 8 9 4 11 5 7 #> [279,] 10 1 9 5 3 11 6 12 2 8 7 4 #> [280,] 6 10 12 4 2 9 11 5 1 3 8 7 #> [281,] 9 4 3 12 5 1 8 6 2 7 10 11 #> [282,] 2 11 10 12 9 8 7 1 5 6 4 3 #> [283,] 8 3 6 1 4 5 2 9 11 10 7 12 #> [284,] 1 11 4 2 12 5 10 8 7 3 9 6 #> [285,] 12 1 10 6 2 8 4 3 7 11 9 5 #> [286,] 10 1 6 2 7 3 12 9 5 11 8 4 #> [287,] 5 1 11 4 12 8 9 2 6 7 10 3 #> [288,] 2 4 5 10 9 3 1 11 8 6 7 12 #> [289,] 2 10 3 6 5 7 1 9 11 8 12 4 #> [290,] 11 6 3 8 10 7 4 9 2 12 5 1 #> [291,] 10 11 3 7 1 4 2 12 5 6 8 9 #> [292,] 8 7 4 1 3 11 5 9 10 6 12 2 #> [293,] 6 10 3 11 9 2 8 7 1 4 12 5 #> [294,] 10 12 3 2 9 4 11 7 8 1 6 5 #> [295,] 2 3 1 12 6 10 7 11 9 8 5 4 #> [296,] 5 2 6 7 10 4 11 9 8 12 1 3 #> [297,] 4 6 3 11 9 8 7 1 12 2 5 10 #> [298,] 5 10 8 12 2 7 1 3 6 11 4 9 #> [299,] 9 7 2 6 10 11 1 3 5 8 4 12 #> [300,] 2 9 12 5 4 6 8 3 7 11 10 1 #> [301,] 4 5 9 10 2 12 1 8 6 11 3 7 #> [302,] 5 7 10 12 11 3 4 9 6 8 2 1 #> [303,] 8 12 10 4 5 9 6 1 7 3 2 11 #> [304,] 7 3 2 11 9 12 5 6 10 4 8 1 #> [305,] 1 12 6 8 4 5 11 9 3 7 2 10 #> [306,] 12 3 8 4 9 1 5 6 10 2 7 11 #> [307,] 10 1 7 6 3 4 9 2 12 8 5 11 #> [308,] 6 7 2 11 10 4 3 5 1 12 9 8 #> [309,] 1 8 12 7 9 5 6 3 4 10 2 11 #> [310,] 1 2 10 7 8 4 12 3 5 11 9 6 #> [311,] 6 12 11 5 8 3 1 4 7 2 9 10 #> [312,] 5 11 7 4 12 2 8 9 1 6 10 3 #> [313,] 6 10 11 12 9 7 4 5 3 1 2 8 #> [314,] 3 6 8 10 11 9 2 5 4 12 1 7 #> [315,] 8 6 11 10 3 7 4 9 2 5 12 1 #> [316,] 2 3 1 5 10 8 6 7 9 11 4 12 #> [317,] 11 7 6 12 2 5 1 8 9 3 10 4 #> [318,] 5 12 8 10 6 4 11 7 3 1 9 2 #> [319,] 6 5 9 4 2 10 8 7 3 1 12 11 #> [320,] 2 11 6 4 7 5 12 8 1 10 3 9 #> [321,] 2 6 10 8 3 5 9 11 1 4 12 7 #> [322,] 9 1 11 2 6 4 8 3 12 10 7 5 #> [323,] 2 6 3 1 5 8 11 12 4 10 7 9 #> [324,] 3 2 6 9 5 11 10 8 4 7 12 1 #> [325,] 3 6 1 11 7 8 5 4 12 9 10 2 #> [326,] 1 2 6 12 4 5 8 10 11 9 3 7 #> [327,] 12 10 4 3 2 7 5 6 11 9 8 1 #> [328,] 9 2 3 5 7 6 4 11 10 1 8 12 #> [329,] 2 8 1 7 3 9 5 12 10 4 6 11 #> [330,] 3 6 1 12 2 4 7 8 5 11 9 10 #> [331,] 9 2 11 10 6 1 4 12 7 3 8 5 #> [332,] 11 2 8 12 7 5 1 10 6 9 3 4 #> [333,] 10 2 6 3 12 8 5 4 1 11 7 9 #> [334,] 7 10 5 11 4 12 1 8 6 3 2 9 #> [335,] 6 12 3 1 8 4 11 10 2 5 9 7 #> [336,] 11 4 7 8 12 6 10 9 5 3 1 2 #> [337,] 10 12 6 5 11 7 4 8 2 3 9 1 #> [338,] 4 5 10 2 8 11 12 7 9 1 6 3 #> [339,] 4 1 5 8 7 9 6 12 2 10 3 11 #> [340,] 4 10 5 11 3 1 2 7 6 9 8 12 #> [341,] 5 10 12 1 11 6 9 4 2 7 3 8 #> [342,] 6 8 3 5 1 4 12 10 9 2 11 7 #> [343,] 7 8 9 4 6 2 11 1 12 5 10 3 #> [344,] 7 9 10 6 8 2 11 4 5 12 1 3 #> [345,] 6 7 3 9 2 12 10 11 1 5 4 8 #> [346,] 6 1 4 5 3 2 8 10 7 12 9 11 #> [347,] 4 6 2 7 8 9 10 12 1 11 3 5 #> [348,] 3 8 6 4 5 9 7 11 2 10 12 1 #> [349,] 5 2 4 12 9 7 3 8 1 11 10 6 #> [350,] 7 9 12 11 3 2 6 8 5 4 1 10 #> [351,] 9 4 10 1 6 8 5 3 7 2 12 11 #> [352,] 7 11 4 8 3 5 1 9 6 10 12 2 #> [353,] 12 5 3 10 1 11 9 7 2 4 8 6 #> [354,] 3 1 5 9 8 6 4 12 11 2 10 7 #> [355,] 8 4 5 3 11 12 7 2 1 10 9 6 #> [356,] 6 4 10 11 7 5 1 2 9 8 3 12 #> [357,] 2 10 11 6 8 5 1 9 12 7 4 3 #> [358,] 5 12 2 10 7 4 8 6 9 1 3 11 #> [359,] 7 9 6 3 10 4 1 8 5 12 2 11 #> [360,] 11 9 12 10 4 3 5 6 7 8 1 2 #> [361,] 11 9 8 12 5 4 1 2 10 3 7 6 #> [362,] 7 3 11 9 4 10 2 5 8 6 1 12 #> [363,] 11 6 10 1 4 2 9 3 5 7 8 12 #> [364,] 9 7 2 4 5 12 10 8 11 3 6 1 #> [365,] 2 9 11 5 8 3 6 4 1 12 7 10 #> [366,] 5 7 9 4 12 3 1 11 10 8 6 2 #> [367,] 7 6 1 11 4 8 9 5 12 2 10 3 #> [368,] 7 2 9 6 8 11 3 10 5 12 1 4 #> [369,] 7 1 8 2 12 4 6 11 5 10 3 9 #> [370,] 9 7 6 8 12 10 2 5 3 11 1 4 #> [371,] 4 6 2 7 10 11 12 3 9 5 1 8 #> [372,] 11 4 3 1 5 7 2 12 10 8 6 9 #> [373,] 2 7 1 11 10 12 8 6 5 4 3 9 #> [374,] 9 2 1 12 4 3 7 11 5 6 10 8 #> [375,] 7 8 5 9 2 10 12 3 11 1 4 6 #> [376,] 8 3 4 1 6 2 10 7 5 11 9 12 #> [377,] 10 3 4 6 11 2 8 7 1 5 12 9 #> [378,] 10 3 8 2 5 4 9 12 6 7 11 1 #> [379,] 8 4 12 2 5 3 6 1 9 7 10 11 #> [380,] 4 6 11 7 8 2 10 5 1 3 9 12 #> [381,] 6 11 2 5 3 12 4 8 10 7 1 9 #> [382,] 12 11 5 3 8 6 2 9 4 1 10 7 #> [383,] 5 8 9 11 3 12 6 1 7 2 10 4 #> [384,] 3 4 11 7 9 12 6 1 8 10 5 2 #> [385,] 10 11 3 7 2 4 6 5 8 1 9 12 #> [386,] 3 2 11 1 6 5 12 7 9 4 10 8 #> [387,] 12 11 4 9 2 6 5 3 8 10 1 7 #> [388,] 6 7 3 9 2 4 1 8 12 5 11 10 #> [389,] 9 8 2 3 5 11 4 7 10 6 1 12 #> [390,] 10 7 4 9 2 1 6 8 3 11 12 5 #> [391,] 6 4 10 9 11 5 3 2 1 7 12 8 #> [392,] 6 12 9 1 10 7 4 5 3 11 8 2 #> [393,] 3 8 9 5 6 10 2 1 12 7 4 11 #> [394,] 7 2 12 5 11 10 9 1 4 8 3 6 #> [395,] 11 4 8 12 9 10 1 3 6 5 2 7 #> [396,] 6 1 4 10 12 2 5 11 7 8 3 9 #> [397,] 8 4 2 5 9 3 10 6 1 11 12 7 #> [398,] 12 1 11 10 6 4 2 8 5 3 9 7 #> [399,] 1 3 7 4 6 10 9 2 11 5 8 12 #> [400,] 4 12 7 6 2 11 5 9 1 10 8 3 #> [401,] 12 6 4 5 3 1 2 7 11 10 8 9 #> [402,] 8 4 3 12 5 1 11 7 10 2 6 9 #> [403,] 6 2 5 10 11 8 3 7 1 9 4 12 #> [404,] 4 3 1 10 6 7 9 5 8 11 2 12 #> [405,] 12 6 8 3 9 7 11 1 10 4 2 5 #> [406,] 6 12 8 2 11 7 5 9 1 10 3 4 #> [407,] 11 8 2 9 10 1 6 12 7 3 5 4 #> [408,] 3 10 11 1 4 6 7 2 8 5 12 9 #> [409,] 1 12 3 8 11 10 2 9 4 6 7 5 #> [410,] 11 9 1 7 2 5 8 3 6 10 4 12 #> [411,] 11 5 2 3 8 10 7 6 12 1 4 9 #> [412,] 12 5 3 9 8 10 1 4 2 11 6 7 #> [413,] 6 12 1 5 10 7 3 8 4 11 2 9 #> [414,] 3 11 7 8 2 5 9 1 10 6 12 4 #> [415,] 6 11 1 2 7 10 5 8 9 3 12 4 #> [416,] 11 9 3 2 10 1 8 7 4 12 6 5 #> [417,] 6 4 12 1 9 7 2 5 3 10 11 8 #> [418,] 5 8 2 7 11 12 3 10 6 9 1 4 #> [419,] 9 5 8 7 12 11 6 1 2 4 3 10 #> [420,] 12 9 10 3 1 6 4 7 11 8 5 2 #> [421,] 11 8 12 6 3 1 7 5 4 9 2 10 #> [422,] 3 10 8 12 4 2 6 5 9 1 7 11 #> [423,] 2 6 12 3 5 11 10 9 7 8 1 4 #> [424,] 7 1 10 11 3 5 2 9 6 4 12 8 #> [425,] 5 12 9 11 4 3 10 2 8 7 6 1 #> [426,] 4 7 12 3 8 1 5 6 10 9 11 2 #> [427,] 1 12 11 5 4 7 10 8 6 2 9 3 #> [428,] 3 2 5 11 4 12 8 9 7 1 10 6 #> [429,] 2 11 5 4 1 3 7 8 12 10 6 9 #> [430,] 8 6 5 4 2 7 11 10 12 3 1 9 #> [431,] 10 6 5 4 11 9 3 7 2 1 12 8 #> [432,] 9 4 7 10 1 5 2 8 3 11 6 12 #> [433,] 3 1 2 6 12 8 10 7 11 5 4 9 #> [434,] 3 12 10 7 8 6 2 9 11 5 1 4 #> [435,] 1 8 2 12 7 11 5 10 6 9 4 3 #> [436,] 12 1 4 3 5 11 2 7 8 10 6 9 #> [437,] 4 1 7 9 12 2 3 8 5 11 6 10 #> [438,] 3 6 12 2 9 1 5 7 4 8 11 10 #> [439,] 12 10 9 6 3 1 4 7 5 2 8 11 #> [440,] 9 1 5 2 4 7 8 10 12 3 11 6 #> [441,] 9 8 3 10 4 5 2 7 6 11 12 1 #> [442,] 9 4 3 1 8 12 10 6 2 5 7 11 #> [443,] 2 11 3 4 8 9 6 10 5 1 7 12 #> [444,] 9 7 11 12 5 3 1 8 6 4 10 2 #> [445,] 3 4 12 11 9 6 7 10 5 1 8 2 #> [446,] 5 10 8 7 1 3 12 4 9 2 11 6 #> [447,] 8 6 9 10 3 7 1 2 4 12 5 11 #> [448,] 7 1 3 10 8 9 4 6 5 12 11 2 #> [449,] 7 5 6 2 10 12 11 4 9 1 8 3 #> [450,] 5 8 6 7 4 9 2 12 11 10 3 1 #> [451,] 8 5 3 1 6 9 7 10 4 12 11 2 #> [452,] 6 4 10 12 1 9 8 11 5 7 3 2 #> [453,] 2 10 9 3 11 4 7 5 12 1 8 6 #> [454,] 5 6 7 4 10 8 2 3 12 11 1 9 #> [455,] 12 9 10 8 5 6 7 4 1 3 11 2 #> [456,] 1 8 10 9 12 5 4 11 2 3 7 6 #> [457,] 5 10 11 1 12 9 2 4 8 7 3 6 #> [458,] 6 1 8 12 9 2 11 7 3 4 5 10 #> [459,] 7 12 9 4 3 5 1 6 11 10 2 8 #> [460,] 1 9 7 12 5 3 8 2 6 10 11 4 #> [461,] 2 3 10 9 5 8 12 1 6 7 11 4 #> [462,] 11 7 9 10 5 4 1 12 3 8 2 6 #> [463,] 5 1 11 10 12 9 6 2 4 8 7 3 #> [464,] 10 1 5 3 6 9 12 2 11 7 4 8 #> [465,] 10 2 8 4 9 3 1 5 6 11 12 7 #> [466,] 7 5 3 6 2 10 12 1 8 11 4 9 #> [467,] 9 11 4 1 5 12 2 7 3 10 8 6 #> [468,] 6 9 4 3 12 7 1 8 5 2 10 11 #> [469,] 9 1 10 6 8 5 12 7 3 2 11 4 #> [470,] 3 11 12 6 1 4 10 9 5 2 7 8 #> [471,] 4 10 5 6 11 1 8 3 9 7 2 12 #> [472,] 12 5 4 6 10 8 9 7 1 2 3 11 #> [473,] 1 2 5 7 9 10 6 3 12 8 11 4 #> [474,] 2 12 3 11 1 5 8 4 6 7 9 10 #> [475,] 4 5 6 1 9 2 10 7 12 11 8 3 #> [476,] 7 12 2 8 9 6 1 5 4 10 11 3 #> [477,] 9 5 1 12 7 10 11 4 2 8 6 3 #> [478,] 8 7 6 12 4 5 2 3 10 11 9 1 #> [479,] 4 6 3 1 12 10 11 8 7 2 9 5 #> [480,] 8 1 11 12 7 3 6 5 10 4 2 9 #> [481,] 10 12 8 4 5 3 11 2 7 6 1 9 #> [482,] 6 10 9 2 12 7 11 4 3 1 8 5 #> [483,] 7 5 11 3 8 1 12 4 6 10 9 2 #> [484,] 4 5 3 2 10 7 9 6 11 12 1 8 #> [485,] 11 10 1 6 2 5 7 3 8 4 12 9 #> [486,] 5 6 3 11 10 8 4 7 2 9 12 1 #> [487,] 10 12 3 6 1 5 7 9 11 4 8 2 #> [488,] 1 4 10 2 6 5 8 12 7 3 9 11 #> [489,] 2 6 11 3 12 7 5 9 8 4 10 1 #> [490,] 8 6 1 7 12 9 2 3 11 4 10 5 #> [491,] 5 9 6 8 11 7 1 10 3 12 2 4 #> [492,] 2 8 5 4 3 6 9 1 11 10 7 12 #> [493,] 5 11 2 7 9 3 6 12 10 4 8 1 #> [494,] 4 1 7 11 8 3 5 9 10 6 12 2 #> [495,] 1 10 9 3 7 8 5 11 6 4 12 2 #> [496,] 8 7 2 6 3 9 4 10 1 11 5 12 #> [497,] 7 10 9 6 1 8 11 3 12 4 2 5 #> [498,] 6 11 4 1 7 3 10 9 2 12 8 5 #> [499,] 12 9 10 5 4 2 3 11 7 6 1 8 #> [500,] 4 1 8 11 5 3 9 7 12 2 10 6 #> [501,] 2 11 8 12 3 5 6 4 1 10 7 9 #> [502,] 9 12 5 2 6 1 10 4 8 7 3 11 #> [503,] 6 1 3 4 10 8 11 9 12 2 5 7 #> [504,] 1 11 2 12 3 5 4 8 10 9 7 6 #> [505,] 3 5 6 2 1 12 10 7 11 9 8 4 #> [506,] 8 6 9 4 10 11 2 5 3 12 7 1 #> [507,] 8 9 7 4 11 5 12 2 1 10 6 3 #> [508,] 10 1 3 2 9 12 5 7 11 4 8 6 #> [509,] 2 6 3 11 8 5 10 7 12 4 9 1 #> [510,] 11 4 12 2 5 8 9 3 6 1 10 7 #> [511,] 2 8 6 7 12 4 10 5 3 9 1 11 #> [512,] 7 11 4 6 5 10 3 2 8 9 1 12 #> [513,] 8 9 1 5 4 6 7 10 3 2 12 11 #> [514,] 7 11 5 1 8 6 10 12 2 4 9 3 #> [515,] 3 2 7 1 4 8 11 5 9 12 6 10 #> [516,] 10 9 2 7 5 1 12 3 4 11 6 8 #> [517,] 4 8 9 10 12 1 6 11 3 2 5 7 #> [518,] 2 9 12 3 10 4 6 11 5 8 1 7 #> [519,] 9 5 10 11 1 7 3 2 12 8 6 4 #> [520,] 8 6 7 10 11 2 5 4 3 1 12 9 #> [521,] 1 9 11 12 7 4 5 2 10 3 6 8 #> [522,] 9 7 4 11 8 3 5 2 12 6 10 1 #> [523,] 11 4 2 5 10 9 6 12 1 7 3 8 #> [524,] 4 11 10 6 7 2 8 9 5 3 1 12 #> [525,] 10 9 12 4 7 6 1 2 8 3 11 5 #> [526,] 2 11 7 8 3 5 4 1 10 9 12 6 #> [527,] 11 9 5 2 7 8 12 4 3 1 6 10 #> [528,] 9 4 3 7 1 10 12 8 2 11 6 5 #> [529,] 7 3 1 11 2 8 12 4 9 5 10 6 #> [530,] 8 5 9 12 3 11 4 7 1 2 6 10 #> [531,] 7 2 11 6 3 4 5 10 9 1 12 8 #> [532,] 1 10 7 2 6 12 11 8 3 5 9 4 #> [533,] 9 12 3 11 7 5 8 2 6 1 4 10 #> [534,] 3 5 7 1 9 4 8 12 10 6 2 11 #> [535,] 10 5 8 1 2 7 6 4 9 3 12 11 #> [536,] 8 5 10 7 11 4 1 12 9 6 2 3 #> [537,] 5 9 8 7 12 4 11 10 3 2 1 6 #> [538,] 6 7 12 5 11 3 9 4 2 10 1 8 #> [539,] 7 6 10 5 11 1 4 3 2 9 12 8 #> [540,] 11 12 8 2 1 5 9 3 4 6 10 7 #> [541,] 12 6 7 11 4 5 1 2 10 9 8 3 #> [542,] 2 10 11 9 6 1 5 4 8 12 7 3 #> [543,] 2 3 6 11 4 12 5 8 7 1 10 9 #> [544,] 10 4 6 8 2 9 3 5 1 12 7 11 #> [545,] 2 5 9 7 4 3 12 1 8 11 6 10 #> [546,] 6 8 1 7 10 2 12 11 5 3 4 9 #> [547,] 5 11 1 8 3 6 9 7 10 4 12 2 #> [548,] 11 4 2 8 10 9 7 12 5 1 6 3 #> [549,] 12 4 2 8 10 6 1 3 9 5 7 11 #> [550,] 3 10 6 9 1 12 11 4 5 2 7 8 #> [551,] 5 4 10 2 1 12 3 7 8 6 9 11 #> [552,] 9 1 6 10 7 3 8 4 5 12 2 11 #> [553,] 5 4 10 1 6 7 11 8 9 12 3 2 #> [554,] 2 6 5 8 7 11 4 1 9 3 12 10 #> [555,] 3 12 5 7 1 8 9 10 2 11 6 4 #> [556,] 6 3 11 9 5 1 12 10 4 2 7 8 #> [557,] 3 11 10 2 6 12 4 5 7 8 9 1 #> [558,] 8 11 1 2 3 10 6 7 9 12 4 5 #> [559,] 11 5 7 9 6 12 1 10 8 4 3 2 #> [560,] 2 11 3 12 5 4 7 6 8 9 1 10 #> [561,] 2 4 11 10 1 5 6 12 8 3 7 9 #> [562,] 12 6 10 9 8 11 2 1 5 7 4 3 #> [563,] 10 4 3 11 5 1 7 2 6 8 12 9 #> [564,] 7 12 6 2 9 1 4 8 3 11 10 5 #> [565,] 6 12 9 3 8 5 4 10 1 11 7 2 #> [566,] 3 9 8 1 10 4 5 7 11 6 12 2 #> [567,] 8 1 2 9 7 3 6 5 11 12 4 10 #> [568,] 6 11 4 9 7 2 12 8 1 3 10 5 #> [569,] 2 9 12 4 11 5 7 3 1 8 6 10 #> [570,] 4 6 10 8 9 5 12 7 3 2 1 11 #> [571,] 9 11 10 5 3 2 1 8 12 4 6 7 #> [572,] 7 9 10 11 12 6 5 1 4 3 2 8 #> [573,] 10 8 12 9 6 5 11 2 4 3 1 7 #> [574,] 11 8 1 3 6 9 5 2 12 10 4 7 #> [575,] 12 9 3 6 11 4 8 1 5 7 2 10 #> [576,] 1 6 12 7 8 9 2 4 5 10 11 3 #> [577,] 8 9 5 11 6 2 7 4 3 12 1 10 #> [578,] 1 3 5 9 6 10 8 2 11 12 7 4 #> [579,] 7 4 8 5 10 2 12 11 1 3 9 6 #> [580,] 10 1 8 11 4 3 7 12 2 6 5 9 #> [581,] 8 5 1 4 6 12 3 2 10 11 7 9 #> [582,] 9 1 4 12 7 3 2 5 11 10 6 8 #> [583,] 8 2 4 12 7 6 9 3 10 11 5 1 #> [584,] 5 8 7 1 9 6 4 3 12 11 2 10 #> [585,] 6 10 12 11 4 9 7 8 2 5 3 1 #> [586,] 1 3 12 2 5 11 6 8 7 9 10 4 #> [587,] 1 2 3 5 6 8 10 12 4 7 11 9 #> [588,] 3 4 7 9 12 8 2 11 1 10 6 5 #> [589,] 7 8 12 10 11 5 3 6 2 1 9 4 #> [590,] 11 10 1 2 8 3 5 4 12 7 6 9 #> [591,] 4 6 12 3 9 8 1 7 10 11 5 2 #> [592,] 7 8 6 9 4 2 11 12 1 5 3 10 #> [593,] 3 11 7 4 1 6 2 10 9 12 8 5 #> [594,] 4 11 3 8 2 5 6 7 9 10 1 12 #> [595,] 11 5 8 10 6 7 12 4 2 9 3 1 #> [596,] 11 9 6 10 3 12 4 7 5 8 1 2 #> [597,] 5 12 1 8 10 11 2 7 6 9 4 3 #> [598,] 12 7 9 10 4 5 2 3 11 6 1 8 #> [599,] 9 1 2 6 10 8 11 12 3 4 7 5 #> [600,] 10 4 3 6 5 9 1 7 2 12 11 8 #> [601,] 5 8 11 4 1 10 9 2 12 7 3 6 #> [602,] 5 12 11 3 2 7 1 9 8 10 4 6 #> [603,] 12 3 1 6 11 2 5 4 8 10 7 9 #> [604,] 2 12 11 8 7 6 1 5 4 3 10 9 #> [605,] 2 3 8 5 11 6 9 10 7 12 1 4 #> [606,] 9 2 10 12 3 6 5 8 4 7 11 1 #> [607,] 12 2 3 8 5 7 11 10 4 1 9 6 #> [608,] 10 11 8 3 7 9 2 4 1 12 5 6 #> [609,] 12 10 4 8 5 9 11 6 7 1 2 3 #> [610,] 12 5 6 7 4 11 1 10 3 9 8 2 #> [611,] 1 11 4 7 3 10 2 12 5 9 8 6 #> [612,] 1 5 11 4 12 10 8 3 2 9 6 7 #> [613,] 4 6 11 5 9 8 7 12 1 10 2 3 #> [614,] 8 5 12 11 10 2 9 6 3 1 7 4 #> [615,] 4 3 11 7 2 12 6 5 1 10 9 8 #> [616,] 10 9 4 11 6 3 8 2 1 12 5 7 #> [617,] 9 11 12 8 2 1 5 10 6 3 7 4 #> [618,] 6 5 9 3 4 1 7 11 10 12 8 2 #> [619,] 2 10 11 5 4 6 7 8 12 9 1 3 #> [620,] 5 6 11 9 2 12 10 7 1 3 8 4 #> [621,] 1 6 3 10 12 9 11 8 7 2 4 5 #> [622,] 5 9 4 11 12 2 8 6 7 3 1 10 #> [623,] 4 6 5 8 2 12 9 1 3 7 11 10 #> [624,] 1 5 3 6 10 11 7 8 12 2 4 9 #> [625,] 3 4 10 1 2 8 7 6 5 12 9 11 #> [626,] 5 12 3 9 10 2 1 7 8 11 6 4 #> [627,] 10 6 12 11 7 3 2 5 8 9 4 1 #> [628,] 3 1 6 10 8 9 11 12 7 2 5 4 #> [629,] 1 5 2 7 3 10 6 11 9 8 12 4 #> [630,] 10 3 4 12 5 2 8 1 7 11 6 9 #> [631,] 2 11 12 3 8 9 10 6 4 5 1 7 #> [632,] 12 11 1 10 5 7 3 2 6 9 4 8 #> [633,] 10 2 12 8 11 7 6 9 1 4 5 3 #> [634,] 8 1 3 2 9 12 4 10 11 7 6 5 #> [635,] 8 3 2 10 5 9 12 4 1 6 11 7 #> [636,] 2 10 1 4 11 9 12 3 5 8 6 7 #> [637,] 7 10 2 3 5 12 8 9 4 6 1 11 #> [638,] 7 12 5 10 8 2 4 1 6 3 9 11 #> [639,] 5 6 10 1 8 12 11 4 9 7 2 3 #> [640,] 9 2 6 12 1 8 10 11 7 4 5 3 #> [641,] 6 4 7 5 10 11 2 1 12 8 3 9 #> [642,] 4 2 8 6 1 10 5 12 11 3 7 9 #> [643,] 6 3 12 11 8 4 7 5 10 9 2 1 #> [644,] 8 10 11 3 6 5 7 2 9 12 1 4 #> [645,] 2 12 7 11 1 8 10 5 3 9 6 4 #> [646,] 5 8 12 4 10 9 7 1 6 11 2 3 #> [647,] 7 11 12 9 2 1 8 4 6 3 10 5 #> [648,] 11 6 4 9 5 7 3 1 12 8 10 2 #> [649,] 1 8 9 11 7 10 3 5 12 6 2 4 #> [650,] 9 1 11 6 12 3 10 8 7 2 5 4 #> [651,] 1 12 5 4 11 2 8 3 10 6 7 9 #> [652,] 4 6 9 2 8 7 5 11 10 1 12 3 #> [653,] 10 1 6 5 9 7 3 4 11 2 12 8 #> [654,] 1 7 11 10 6 8 5 9 3 2 12 4 #> [655,] 11 1 8 4 2 12 10 9 6 7 3 5 #> [656,] 10 1 5 7 3 8 4 9 12 6 11 2 #> [657,] 5 3 12 11 7 8 6 1 10 4 2 9 #> [658,] 10 7 9 6 12 5 1 4 8 2 11 3 #> [659,] 2 11 9 7 5 1 8 12 6 10 4 3 #> [660,] 9 4 11 5 12 10 2 6 1 8 7 3 #> [661,] 11 8 5 7 2 12 4 1 10 9 3 6 #> [662,] 11 8 4 7 9 10 3 5 6 1 12 2 #> [663,] 5 2 10 3 1 12 11 6 4 7 8 9 #> [664,] 1 7 2 10 9 12 3 11 5 8 4 6 #> [665,] 4 1 2 8 10 9 5 6 11 12 7 3 #> [666,] 1 3 4 2 10 5 12 8 6 9 11 7 #> [667,] 8 4 9 1 11 7 10 2 12 5 3 6 #> [668,] 3 8 11 7 12 2 6 9 5 4 10 1 #> [669,] 10 11 2 5 3 12 8 4 7 9 6 1 #> [670,] 11 12 3 7 8 6 2 10 5 9 4 1 #> [671,] 4 10 12 2 7 11 6 8 1 3 5 9 #> [672,] 5 4 2 6 10 12 8 3 11 1 7 9 #> [673,] 10 12 3 11 1 7 9 6 5 4 8 2 #> [674,] 12 3 4 6 7 11 2 1 8 10 5 9 #> [675,] 7 9 11 12 1 3 2 6 8 10 4 5 #> [676,] 11 12 4 10 2 7 3 1 6 5 9 8 #> [677,] 12 5 8 7 9 4 2 3 10 1 11 6 #> [678,] 5 12 6 11 10 2 1 9 3 7 8 4 #> [679,] 6 10 9 11 8 2 1 7 4 3 5 12 #> [680,] 12 9 7 4 8 5 2 10 11 1 6 3 #> [681,] 8 7 12 2 1 10 9 11 4 5 3 6 #> [682,] 2 8 10 12 5 9 11 1 4 6 7 3 #> [683,] 10 8 7 3 9 6 5 1 4 12 2 11 #> [684,] 3 9 12 5 6 10 7 4 8 1 11 2 #> [685,] 4 12 5 3 9 7 8 10 1 6 11 2 #> [686,] 1 3 11 4 5 7 12 2 8 10 9 6 #> [687,] 11 8 10 3 12 5 9 4 7 1 6 2 #> [688,] 3 5 1 7 12 9 8 4 2 10 11 6 #> [689,] 9 7 12 4 1 8 11 2 10 3 6 5 #> [690,] 7 1 6 11 8 12 3 10 2 9 4 5 #> [691,] 9 10 6 12 2 1 11 8 7 3 4 5 #> [692,] 6 8 3 5 7 11 1 2 4 12 9 10 #> [693,] 10 3 8 6 9 11 5 7 1 12 2 4 #> [694,] 10 7 2 12 5 9 6 8 1 11 3 4 #> [695,] 9 4 7 5 2 6 1 12 8 3 10 11 #> [696,] 3 7 10 8 5 6 1 11 2 4 12 9 #> [697,] 12 9 1 11 4 5 6 3 8 7 10 2 #> [698,] 10 2 1 9 3 5 8 4 7 12 6 11 #> [699,] 11 10 12 7 2 9 5 6 3 8 1 4 #> [700,] 3 7 8 12 11 9 2 4 5 10 6 1 #> [701,] 11 7 6 9 1 2 3 8 12 10 5 4 #> [702,] 9 11 6 4 1 12 7 8 5 10 3 2 #> [703,] 7 8 10 3 6 12 11 5 2 4 9 1 #> [704,] 9 6 5 10 12 1 7 8 3 2 4 11 #> [705,] 7 10 1 5 9 12 11 4 6 3 2 8 #> [706,] 3 11 7 1 8 2 12 5 9 4 10 6 #> [707,] 4 2 3 12 5 6 9 10 11 1 8 7 #> [708,] 4 5 1 7 3 10 9 8 2 11 12 6 #> [709,] 1 11 2 5 7 8 12 6 9 10 3 4 #> [710,] 4 2 9 5 10 7 3 11 8 12 6 1 #> [711,] 6 1 10 3 2 8 7 9 12 5 4 11 #> [712,] 2 3 11 6 9 10 4 5 7 1 12 8 #> [713,] 2 10 9 5 12 7 3 6 4 1 11 8 #> [714,] 2 10 7 11 8 4 9 3 12 5 1 6 #> [715,] 8 5 1 12 9 4 3 6 11 7 10 2 #> [716,] 8 5 10 4 9 2 1 6 11 3 12 7 #> [717,] 11 5 7 12 3 2 1 8 9 6 10 4 #> [718,] 11 4 6 2 10 12 9 8 1 5 7 3 #> [719,] 4 9 11 7 3 12 1 2 10 8 6 5 #> [720,] 5 10 6 9 1 2 3 12 7 11 8 4 #> [721,] 10 1 9 2 3 5 8 4 7 12 11 6 #> [722,] 5 11 12 6 7 8 2 3 10 9 1 4 #> [723,] 1 12 5 6 7 2 11 4 8 3 10 9 #> [724,] 9 6 12 5 11 8 3 7 2 10 1 4 #> [725,] 8 9 4 11 10 6 7 12 1 5 3 2 #> [726,] 6 9 8 7 1 2 12 11 3 4 10 5 #> [727,] 3 2 12 10 7 9 4 11 6 5 8 1 #> [728,] 11 1 10 6 12 9 7 8 2 3 4 5 #> [729,] 12 6 4 2 5 8 7 3 9 11 10 1 #> [730,] 8 9 3 4 2 7 6 12 10 1 5 11 #> [731,] 12 10 6 7 9 1 2 5 3 11 4 8 #> [732,] 8 1 6 12 11 4 7 9 2 10 3 5 #> [733,] 8 6 7 10 5 1 4 3 2 11 12 9 #> [734,] 10 6 2 8 5 1 4 7 12 9 11 3 #> [735,] 3 7 1 6 10 11 8 12 2 9 4 5 #> [736,] 3 9 11 7 1 5 2 10 8 4 12 6 #> [737,] 10 9 5 6 11 4 3 1 2 12 7 8 #> [738,] 10 4 9 3 1 11 5 2 8 7 12 6 #> [739,] 8 2 10 3 9 12 5 7 1 6 4 11 #> [740,] 2 6 8 11 1 3 9 5 10 4 7 12 #> [741,] 9 5 4 2 12 11 6 3 7 10 1 8 #> [742,] 9 8 11 12 5 1 10 3 7 6 4 2 #> [743,] 5 12 6 2 3 8 7 9 11 1 4 10 #> [744,] 8 5 6 2 9 4 1 10 11 3 7 12 #> [745,] 3 11 2 1 10 7 12 8 6 4 9 5 #> [746,] 2 12 8 9 7 10 5 4 3 11 1 6 #> [747,] 3 9 7 10 6 12 8 1 11 4 2 5 #> [748,] 11 8 3 12 2 9 6 5 7 1 4 10 #> [749,] 11 8 6 4 5 7 10 2 3 9 1 12 #> [750,] 6 1 3 11 7 4 9 2 5 8 10 12 #> [751,] 7 5 11 4 12 9 6 8 1 3 10 2 #> [752,] 2 12 7 8 9 6 1 3 11 10 4 5 #> [753,] 3 4 10 2 8 12 7 11 6 1 5 9 #> [754,] 9 1 8 6 5 12 7 4 10 3 2 11 #> [755,] 6 3 7 2 11 5 4 8 1 12 10 9 #> [756,] 9 4 8 5 12 11 6 1 2 3 10 7 #> [757,] 7 9 8 3 12 5 2 11 4 6 10 1 #> [758,] 11 5 8 3 7 1 12 6 2 10 9 4 #> [759,] 7 2 3 9 1 5 10 12 6 11 8 4 #> [760,] 2 9 11 5 7 1 3 6 10 4 8 12 #> [761,] 6 9 12 10 7 5 1 3 2 4 8 11 #> [762,] 2 7 6 4 8 5 11 10 3 12 1 9 #> [763,] 6 3 1 9 2 12 4 7 8 11 10 5 #> [764,] 12 4 5 11 3 7 8 10 2 9 1 6 #> [765,] 5 10 7 8 11 6 9 2 4 3 1 12 #> [766,] 4 7 11 5 2 6 12 9 3 10 1 8 #> [767,] 1 10 2 8 4 12 11 3 9 6 7 5 #> [768,] 4 3 5 1 2 11 8 12 10 7 6 9 #> [769,] 10 6 11 1 9 12 2 4 8 3 5 7 #> [770,] 7 5 4 1 9 12 3 2 11 8 10 6 #> [771,] 4 12 7 5 9 8 11 2 10 1 6 3 #> [772,] 9 8 1 4 6 3 5 11 2 10 12 7 #> [773,] 1 11 12 6 10 5 4 9 2 8 7 3 #> [774,] 12 11 5 8 2 7 9 6 10 4 1 3 #> [775,] 8 9 11 2 6 3 12 1 10 4 5 7 #> [776,] 10 7 5 12 1 11 9 8 2 6 4 3 #> [777,] 4 10 7 1 8 9 5 12 11 2 3 6 #> [778,] 2 6 7 5 1 11 12 10 9 4 8 3 #> [779,] 11 4 2 7 5 12 10 6 8 3 1 9 #> [780,] 6 5 9 2 3 4 11 8 1 12 7 10 #> [781,] 4 7 3 10 5 11 2 9 12 8 1 6 #> [782,] 8 9 7 3 6 5 4 11 2 10 1 12 #> [783,] 4 8 1 2 3 5 12 10 7 9 11 6 #> [784,] 8 7 5 10 3 1 4 11 6 12 2 9 #> [785,] 1 11 5 12 4 7 9 6 10 2 8 3 #> [786,] 8 10 4 3 1 9 2 7 5 12 11 6 #> [787,] 11 3 5 9 8 4 12 6 10 2 1 7 #> [788,] 2 7 12 1 8 5 4 10 6 11 3 9 #> [789,] 3 6 7 4 9 11 2 8 1 10 5 12 #> [790,] 8 7 10 9 4 5 11 6 3 2 1 12 #> [791,] 7 8 1 4 10 2 3 12 5 6 9 11 #> [792,] 12 4 8 2 5 6 9 10 3 11 7 1 #> [793,] 10 6 8 3 12 11 7 4 2 5 9 1 #> [794,] 5 12 8 11 4 9 3 10 7 2 6 1 #> [795,] 2 11 6 4 12 3 8 9 7 1 10 5 #> [796,] 11 9 10 6 1 3 4 7 5 8 2 12 #> [797,] 3 9 2 11 7 5 12 4 10 1 6 8 #> [798,] 11 8 4 10 12 3 2 1 6 9 7 5 #> [799,] 8 10 2 11 1 3 12 9 5 4 6 7 #> [800,] 5 8 11 10 9 1 4 3 12 6 7 2 #> [801,] 12 10 7 2 9 5 3 8 1 11 6 4 #> [802,] 4 2 12 7 5 3 10 8 11 6 9 1 #> [803,] 10 8 12 4 7 9 11 3 2 1 5 6 #> [804,] 5 2 7 8 12 1 3 9 10 6 11 4 #> [805,] 11 2 1 6 10 9 4 5 7 3 12 8 #> [806,] 9 11 10 3 8 4 7 5 6 1 2 12 #> [807,] 4 12 5 3 8 6 10 9 1 7 11 2 #> [808,] 3 7 8 12 5 10 11 2 1 4 6 9 #> [809,] 7 10 12 9 1 3 11 2 4 8 6 5 #> [810,] 11 9 4 5 12 6 7 3 1 2 8 10 #> [811,] 3 1 12 2 8 11 10 9 5 6 4 7 #> [812,] 5 9 8 10 12 1 4 3 11 2 6 7 #> [813,] 10 11 2 9 1 7 8 12 6 4 5 3 #> [814,] 2 4 7 1 3 8 9 10 5 12 11 6 #> [815,] 2 12 9 1 4 5 6 3 10 11 8 7 #> [816,] 9 5 11 1 3 4 6 2 7 10 12 8 #> [817,] 8 10 12 7 5 3 9 2 4 6 1 11 #> [818,] 9 6 11 1 2 4 8 5 10 7 12 3 #> [819,] 3 9 2 4 5 11 10 12 6 7 8 1 #> [820,] 3 8 12 10 11 6 4 1 7 5 2 9 #> [821,] 3 10 11 4 1 8 6 5 7 2 12 9 #> [822,] 8 6 2 7 11 4 10 3 1 12 5 9 #> [823,] 3 5 6 10 8 2 11 12 7 4 9 1 #> [824,] 11 9 7 6 2 5 12 3 10 4 8 1 #> [825,] 8 6 5 9 11 1 12 7 10 4 2 3 #> [826,] 11 2 12 3 1 10 5 8 9 7 6 4 #> [827,] 8 3 11 12 6 10 2 4 5 7 9 1 #> [828,] 1 9 12 11 5 8 6 10 4 2 3 7 #> [829,] 6 1 7 12 8 10 3 2 4 5 11 9 #> [830,] 8 2 9 3 6 5 4 11 7 10 1 12 #> [831,] 11 12 9 4 6 8 3 7 1 10 2 5 #> [832,] 7 12 6 5 1 4 3 8 9 11 2 10 #> [833,] 7 1 5 9 3 2 10 12 11 6 8 4 #> [834,] 12 5 4 3 8 6 10 1 2 9 11 7 #> [835,] 4 1 3 9 6 5 7 12 10 11 8 2 #> [836,] 9 11 1 5 7 8 10 6 3 12 2 4 #> [837,] 8 11 7 12 10 2 5 6 4 1 3 9 #> [838,] 8 11 2 7 5 3 9 1 12 10 6 4 #> [839,] 9 2 12 3 6 8 4 10 5 11 7 1 #> [840,] 2 1 8 11 5 3 7 6 9 12 4 10 #> [841,] 6 10 4 3 11 1 2 5 8 7 12 9 #> [842,] 12 11 2 6 9 1 3 10 4 5 8 7 #> [843,] 8 11 4 3 1 2 5 12 9 10 7 6 #> [844,] 7 6 5 3 8 4 1 11 2 9 10 12 #> [845,] 10 9 8 12 2 1 4 7 5 6 11 3 #> [846,] 10 7 12 3 5 9 8 6 1 4 2 11 #> [847,] 3 10 4 11 5 8 1 12 6 2 7 9 #> [848,] 1 2 7 5 8 12 3 6 4 10 9 11 #> [849,] 10 6 9 7 5 2 1 3 4 8 12 11 #> [850,] 1 6 12 5 3 10 11 2 9 8 4 7 #> [851,] 9 8 5 7 3 12 2 6 4 1 11 10 #> [852,] 8 12 9 10 3 5 4 6 11 7 1 2 #> [853,] 2 7 8 3 9 12 10 6 5 4 1 11 #> [854,] 9 10 5 6 2 11 3 8 7 1 4 12 #> [855,] 2 11 12 3 5 10 4 7 8 6 1 9 #> [856,] 11 5 6 9 3 2 4 12 8 1 7 10 #> [857,] 3 1 11 10 7 12 5 9 8 6 4 2 #> [858,] 10 8 5 2 1 12 4 7 9 3 11 6 #> [859,] 3 8 4 9 10 11 7 2 1 12 5 6 #> [860,] 3 9 10 7 5 11 8 4 6 12 2 1 #> [861,] 5 1 10 7 3 6 8 2 11 4 12 9 #> [862,] 3 9 6 12 11 8 2 10 7 4 1 5 #> [863,] 11 4 7 3 1 12 9 8 10 2 5 6 #> [864,] 9 12 3 4 1 5 10 8 7 2 6 11 #> [865,] 2 1 4 5 10 7 3 11 8 12 6 9 #> [866,] 11 3 8 2 10 9 7 4 1 6 5 12 #> [867,] 2 7 4 8 9 10 3 6 5 1 12 11 #> [868,] 11 6 2 9 12 1 7 10 5 3 4 8 #> [869,] 1 9 6 10 8 11 7 2 5 4 12 3 #> [870,] 11 10 5 2 3 9 6 4 7 8 12 1 #> [871,] 8 12 9 5 1 7 11 10 4 2 6 3 #> [872,] 6 10 1 9 12 3 8 5 2 7 4 11 #> [873,] 11 2 6 3 12 4 5 7 8 1 10 9 #> [874,] 4 9 11 8 5 6 2 1 7 3 12 10 #> [875,] 2 11 7 4 8 12 1 9 5 10 3 6 #> [876,] 1 12 10 8 5 4 6 9 11 7 3 2 #> [877,] 8 12 5 4 7 9 1 2 6 10 3 11 #> [878,] 9 7 6 11 12 5 10 4 2 1 8 3 #> [879,] 10 4 12 7 6 8 5 3 11 2 1 9 #> [880,] 5 4 9 8 11 6 1 2 12 3 7 10 #> [881,] 9 4 2 6 12 7 11 5 8 10 3 1 #> [882,] 1 9 10 3 7 5 6 4 11 2 12 8 #> [883,] 10 2 8 3 6 7 1 11 12 9 4 5 #> [884,] 7 9 10 3 6 4 2 8 11 12 1 5 #> [885,] 3 8 10 9 4 5 12 1 6 7 2 11 #> [886,] 7 11 1 2 9 12 6 5 4 10 8 3 #> [887,] 2 12 11 3 4 9 10 7 1 5 8 6 #> [888,] 3 7 1 4 6 10 11 5 12 8 9 2 #> [889,] 3 11 10 5 7 9 12 8 2 4 6 1 #> [890,] 2 11 9 12 4 10 1 3 6 5 7 8 #> [891,] 9 12 5 11 7 2 6 10 8 4 1 3 #> [892,] 9 5 11 12 6 10 2 7 4 8 1 3 #> [893,] 12 2 8 7 9 10 6 4 11 5 1 3 #> [894,] 10 6 11 2 4 8 3 1 7 9 5 12 #> [895,] 3 4 8 9 11 1 10 12 2 6 7 5 #> [896,] 9 6 11 10 12 8 4 3 1 2 7 5 #> [897,] 7 4 9 1 2 11 10 12 5 8 6 3 #> [898,] 4 6 2 7 9 1 12 8 3 5 11 10 #> [899,] 9 2 7 12 6 5 11 10 3 4 8 1 #> [900,] 7 9 8 3 12 1 4 10 5 2 11 6 #> [901,] 2 9 3 11 5 1 7 6 12 4 8 10 #> [902,] 5 1 6 2 8 4 3 7 11 10 9 12 #> [903,] 5 8 12 2 11 6 1 3 4 7 9 10 #> [904,] 12 8 7 10 3 4 5 11 9 2 6 1 #> [905,] 10 9 8 6 7 2 12 11 3 1 5 4 #> [906,] 5 2 11 1 4 3 12 6 10 7 9 8 #> [907,] 8 5 10 2 12 3 11 9 1 6 4 7 #> [908,] 4 9 12 3 6 11 8 7 5 2 1 10 #> [909,] 9 1 4 2 11 7 12 8 5 3 6 10 #> [910,] 8 1 12 9 5 3 11 6 10 2 4 7 #> [911,] 1 11 7 9 3 10 12 2 8 6 5 4 #> [912,] 6 2 4 9 8 10 7 1 3 5 11 12 #> [913,] 7 5 8 4 10 9 2 12 3 6 1 11 #> [914,] 6 12 1 8 9 3 4 11 2 5 7 10 #> [915,] 1 11 8 12 9 7 2 6 5 4 3 10 #> [916,] 6 8 3 9 2 1 4 10 12 11 7 5 #> [917,] 7 8 1 10 11 6 12 9 4 5 2 3 #> [918,] 4 3 5 11 12 7 9 6 2 10 1 8 #> [919,] 7 1 12 3 10 8 11 9 6 2 4 5 #> [920,] 4 10 6 7 3 8 1 2 11 5 12 9 #> [921,] 5 7 10 8 1 6 2 3 11 12 9 4 #> [922,] 9 6 10 7 4 3 8 2 5 11 1 12 #> [923,] 8 9 10 1 3 6 12 2 4 5 11 7 #> [924,] 9 8 7 6 4 12 5 2 3 11 10 1 #> [925,] 9 11 8 7 6 3 12 1 2 5 10 4 #> [926,] 1 6 3 10 9 8 11 5 12 4 2 7 #> [927,] 4 6 10 7 1 11 5 8 2 9 12 3 #> [928,] 5 7 3 8 11 9 10 6 12 4 2 1 #> [929,] 1 3 10 6 4 12 2 8 9 5 11 7 #> [930,] 10 8 1 9 4 11 7 6 2 12 5 3 #> [931,] 5 10 1 3 7 2 4 11 6 9 12 8 #> [932,] 9 7 4 6 3 10 2 8 5 11 1 12 #> [933,] 10 2 4 3 8 9 6 7 1 11 12 5 #> [934,] 11 1 4 10 5 2 8 6 9 12 7 3 #> [935,] 1 6 9 5 2 12 4 8 11 7 3 10 #> [936,] 7 3 8 5 9 12 1 2 4 10 11 6 #> [937,] 12 3 2 5 6 10 4 7 11 8 1 9 #> [938,] 6 2 9 1 4 3 11 5 8 10 7 12 #> [939,] 5 10 4 9 8 7 3 11 6 1 12 2 #> [940,] 8 5 6 3 11 2 4 9 1 7 12 10 #> [941,] 8 12 1 7 3 2 6 4 10 5 11 9 #> [942,] 5 4 10 1 2 3 8 11 6 7 12 9 #> [943,] 8 10 4 2 1 7 11 6 5 3 12 9 #> [944,] 4 11 6 5 10 9 7 3 2 12 8 1 #> [945,] 11 9 1 4 10 12 6 5 8 3 2 7 #> [946,] 3 5 11 8 9 2 4 1 6 12 7 10 #> [947,] 4 3 5 9 1 7 2 6 8 10 12 11 #> [948,] 8 9 2 3 11 6 1 5 4 7 12 10 #> [949,] 3 12 5 10 6 8 2 11 9 4 7 1 #> [950,] 2 5 8 6 12 4 7 9 11 1 10 3 #> [951,] 2 11 3 12 6 1 10 4 5 7 9 8 #> [952,] 7 4 1 9 6 3 8 12 10 5 11 2 #> [953,] 7 10 12 9 6 2 11 5 1 3 8 4 #> [954,] 6 7 10 8 4 3 11 1 12 9 5 2 #> [955,] 12 1 11 9 4 6 5 7 8 2 10 3 #> [956,] 4 8 6 3 5 1 10 9 11 2 12 7 #> [957,] 5 2 7 6 8 3 1 10 12 4 9 11 #> [958,] 4 3 5 7 12 11 1 8 6 10 9 2 #> [959,] 10 6 9 11 4 5 7 1 3 2 8 12 #> [960,] 12 4 6 11 3 8 7 5 10 2 1 9 #> [961,] 10 1 5 2 4 9 8 11 3 6 12 7 #> [962,] 7 5 6 1 4 2 12 11 9 3 10 8 #> [963,] 12 7 4 9 10 1 2 11 8 3 5 6 #> [964,] 7 9 11 4 2 12 1 5 10 6 3 8 #> [965,] 10 7 2 12 5 3 6 11 9 4 1 8 #> [966,] 3 11 10 9 5 8 4 6 2 1 7 12 #> [967,] 3 4 8 5 10 9 6 11 12 1 2 7 #> [968,] 8 9 3 12 6 1 10 5 4 2 7 11 #> [969,] 6 9 8 1 5 2 12 10 4 11 3 7 #> [970,] 1 9 2 4 7 5 12 3 6 11 8 10 #> [971,] 8 6 4 9 12 7 2 1 5 3 11 10 #> [972,] 5 7 9 6 11 12 3 10 4 2 8 1 #> [973,] 3 7 6 12 9 5 8 10 2 1 4 11 #> [974,] 2 10 4 8 11 5 12 1 9 3 7 6 #> [975,] 12 3 11 10 9 7 4 5 8 2 1 6 #> [976,] 8 9 4 12 2 3 6 10 1 5 7 11 #> [977,] 9 1 5 2 8 12 3 10 11 6 4 7 #> [978,] 4 2 5 1 9 10 12 11 6 7 3 8 #> [979,] 9 11 2 1 6 4 12 5 7 10 8 3 #> [980,] 8 3 10 7 11 9 6 2 12 1 5 4 #> [981,] 6 10 1 3 4 12 11 7 2 8 9 5 #> [982,] 4 10 7 5 9 1 6 8 12 11 2 3 #> [983,] 10 1 2 5 9 6 7 3 8 12 11 4 #> [984,] 10 12 8 5 6 11 1 9 7 4 3 2 #> [985,] 10 4 12 6 11 5 9 8 3 1 7 2 #> [986,] 7 3 12 4 11 9 10 8 5 1 6 2 #> [987,] 8 1 6 7 9 12 5 10 3 11 4 2 #> [988,] 2 5 11 8 3 12 4 7 1 6 10 9 #> [989,] 12 11 5 3 1 2 8 9 7 6 10 4 #> [990,] 4 1 3 2 11 10 5 7 12 8 6 9 #> [991,] 12 4 5 6 1 2 11 10 9 3 8 7 #> [992,] 3 1 6 9 7 12 10 5 4 11 8 2 #> [993,] 6 4 11 2 3 5 7 8 9 12 1 10 #> [994,] 8 2 9 4 6 12 5 3 10 1 11 7 #> [995,] 4 8 7 3 12 11 10 9 1 6 2 5 #> [996,] 5 8 2 3 7 10 12 11 4 6 9 1 #> [997,] 3 12 9 10 8 4 7 2 1 11 5 6 #> [998,] 11 12 1 10 9 5 7 4 8 3 2 6 #> [999,] 10 8 4 3 2 12 9 5 7 1 11 6 #> [1000,] 4 10 9 8 2 11 6 5 3 7 1 12# Graph of bootstrap distributions boxplot(as.vector(Cornell.bootYX$t[,-1])~factor(rep(1:7,rep(1000,7))), main="Bootstrap distributions of standardised bj (j = 1, ..., 7).")#> [1] 0.5584416
