transform_plaqr: Transformation for Partially Linear Additive Quantile...
In plaqr: Partially Linear Additive Quantile Regression
Description
Usage
Arguments
Value
Author(s)
References
Examples
Description
Returns the estimated transformation parameter for the one-parameter symmetric transformation (Geraci and Jones, 2015). Confidence intervals for the transformation parameter can also be created using the bootstrap. The response variable must be strictly positive; a constant can be added to the variable to ensure that all values are positive.
Usage
1
2
3
Arguments
formula
a formula object, with the response on the left of a ~ operator,
and the linear terms, separated by + operators, on the right. Any terms on the right of the ~ operator that also appear in nonlinVars will be included in the model as spline terms, not linear terms.
nonlinVars
a one-sided formula object, with a ~ operator to the left of the nonlinear terms seperated by + operators. A term appearing in both formula and nonlinVars will be treated as a nonlinear term. If nonlinVars is not NULL, then an intercept will automatically be included in the model (despite a -1 or 0 term included in formula).
tau
the quantile to be estimated, this is a number strictly between 0 and 1 (for now).
data
a data.frame in which to interpret the variables
named in the formula, or in the subset and the weights argument.
If this is missing, then the variables in the formula should be on the
search list. This may also be a single number to handle some special
cases – see below for details.
lambda
a real-valued sequence of possible transformation parameters. 0 corresponds to the log transformation and 1 corresponds to the identity. The transformation is symmetric so a negative transformation parameter is redundant and can be avoided. See Geraci and Jones (2015) for more information on the one-parameter, symmetric transformation.
confint
a confint confidence interval for the transformation parameter will be created if confint is a number between 0 and 1 (otherwise automatically creates 95% CI). Otherwise, no confidence interval will be created. The bootstrap is used to create the confidence interval.
B
the number of bootstrap replications for the confidence interval. If no confidence interval is being created, this argument is ignored.
subset
an optional vector specifying a subset of observations to be
used in the fitting process.
weights
vector of observation weights; if supplied, the algorithm fits
to minimize the sum of the weights multiplied into the
absolute residuals. The length of weights must be the same as
the number of observations. The weights must be nonnegative
and it is strongly recommended that they be strictly positive,
since zero weights are ambiguous.
na.action
a function to filter missing data.
This is applied to the model.frame after any subset argument has been used.
The default (with na.fail) is to create an error if any missing values are
found. A possible alternative is na.omit, which
deletes observations that contain one or more missing values.
method
the algorithmic method used to compute the fit. There are several
options: The default method is the modified version of the
Barrodale and Roberts algorithm for l1-regression,
used by l1fit in S, and is described in detail in
Koenker and d'Orey(1987, 1994), default = "br".
This is quite efficient for problems up to several thousand observations,
and may be used to compute the full quantile regression process. It
also implements a scheme for computing confidence intervals for
the estimated parameters, based on inversion of a rank test described
in Koenker(1994). For larger problems it is advantagous to use
the Frisch–Newton interior point method "fn".
And very large problems one can use the Frisch–Newton approach after
preprocessing "pfn". Both of the latter methods are
described in detail in Portnoy and Koenker(1997).
There is a fifth option "fnc" that enables the user to specify
linear inequality constraints on the fitted coefficients; in this
case one needs to specify the matrix R and the vector r
representing the constraints in the form Rb ≥q r. See the
examples. Finally, there are two penalized methods: "lasso"
and "scad" that implement the lasso penalty and Fan and Li's
smoothly clipped absolute deviation penalty, respectively. These
methods should probably be regarded as experimental.
contrasts
a list giving contrasts for some or all of the factors
default = NULL appearing in the model formula.
The elements of the list should have the same name as the variable
and should be either a contrast matrix (specifically, any full-rank
matrix with as many rows as there are levels in the factor),
or else a function to compute such a matrix given the number of levels.
splinesettings
a list of length equal to the number of nonlinear effects containing arguments to pass to the bs function for each term. Each element of the list is either NULL or a list with named elements correpsonding to the arguments in bs. If not NULL, the first element of splinesettings corresponds to the first nonlinear effect and so on.
Value
Returns the following:
parameter
The transformation parameter
Y
The values of the transformed response
confint
If a confidence interval is created, this is the confidence interval for the transformation parameter. Otherwise, NULL.
U
If a confidence interval is created, a B by n matrix containing the indices used in each bootstrap sample. Otherwise, NULL.
P
If a confidence interval is created, a B length vector containing the transformation parameter estimated in each bootstrap sample. Otherwise, NULL.
Author(s)
Adam Maidman
References
Geraci, M. and Jones, M. (2015). Improved transformation-based quantile regression. Canadian Journal of Statistics 43, 118-132.
Maidman, A., Wang, L. (2017). New Semiparametric Method for Predicting High-Cost Patients. Preprint.
Examples
1
2
3
4
5
6
7
Example output
Loading required package: quantreg
Loading required package: SparseM
Attaching package: 'SparseM'
The following object is masked from 'package:base':
backsolve
Loading required package: splines
$parameter
[1] 0
$Y
-6.00414004 -0.62981298 11.17991665 8.10634589 13.62118440 -6.48979313
1.68314641 2.41759661 -2.67056685 3.93952281 0.06965395 1.05872154
-1.36784815 1.98457009 -3.87123402 1.08639804 -4.59193304 7.78601496
3.46639016 10.64906278 10.82237444 5.00654793 7.52541893 -4.62510296
6.69044497 0.38419368 -9.63732279 -2.65411679 -4.58544317 4.47903659
5.05133211 4.67376482 6.05740531 -1.74791325 -3.50864411 -4.76095866
-4.29910065 3.58502844 2.14688005 2.96135062 -4.31184739 -1.54539424
2.58154977 -3.92961616 5.70924385 5.32222762 4.43764641 1.33372846
2.19041689 8.82355918 7.88973860 -3.44993789 -0.35613383 5.96264266
-3.97763001 5.38913451 3.37097116 4.22997542 8.14327175 7.31667107
8.05811776 -1.68019335 6.03062785 11.28360654 6.29689448 5.45291172
-1.21389807 -3.19281473 9.97982138 -2.32987854 -2.42046405 -0.16484999
5.34860363 -2.59057868 2.67356682 5.40830226 -4.65730755 -0.63024157
-3.79200301 -4.38691775 -0.83296646 16.67238599 -0.55140393 1.82023768
-4.72674306 1.62288761 6.60608304 0.49475738 -7.04977608 5.95438314
2.19842614 -0.99444826 5.97097246 5.40876595 5.67653088 -1.55040495
4.33533753 0.40038255 1.42445929 1.34655782
$confint
NULL
$U
NULL
$P
NULL
$parameter
[1] 0
$Y
-6.00414004 -0.62981298 11.17991665 8.10634589 13.62118440 -6.48979313
1.68314641 2.41759661 -2.67056685 3.93952281 0.06965395 1.05872154
-1.36784815 1.98457009 -3.87123402 1.08639804 -4.59193304 7.78601496
3.46639016 10.64906278 10.82237444 5.00654793 7.52541893 -4.62510296
6.69044497 0.38419368 -9.63732279 -2.65411679 -4.58544317 4.47903659
5.05133211 4.67376482 6.05740531 -1.74791325 -3.50864411 -4.76095866
-4.29910065 3.58502844 2.14688005 2.96135062 -4.31184739 -1.54539424
2.58154977 -3.92961616 5.70924385 5.32222762 4.43764641 1.33372846
2.19041689 8.82355918 7.88973860 -3.44993789 -0.35613383 5.96264266
-3.97763001 5.38913451 3.37097116 4.22997542 8.14327175 7.31667107
8.05811776 -1.68019335 6.03062785 11.28360654 6.29689448 5.45291172
-1.21389807 -3.19281473 9.97982138 -2.32987854 -2.42046405 -0.16484999
5.34860363 -2.59057868 2.67356682 5.40830226 -4.65730755 -0.63024157
-3.79200301 -4.38691775 -0.83296646 16.67238599 -0.55140393 1.82023768
-4.72674306 1.62288761 6.60608304 0.49475738 -7.04977608 5.95438314
2.19842614 -0.99444826 5.97097246 5.40876595 5.67653088 -1.55040495
4.33533753 0.40038255 1.42445929 1.34655782
$confint
2.5% 97.5%
0.5725 1.0000
$U
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
[1,] 38 29 100 52 84 64 35 47 25 53 88 1 15
[2,] 51 7 14 70 75 91 68 2 75 78 81 18 32
[3,] 62 70 35 88 65 93 70 14 25 36 14 34 39
[4,] 51 77 34 38 70 2 91 16 86 37 10 17 67
[5,] 22 41 23 51 15 27 18 30 56 38 11 14 28
[6,] 70 81 36 60 3 47 9 61 95 26 99 53 44
[7,] 27 33 95 46 63 89 41 95 58 83 98 45 40
[8,] 25 69 88 8 71 6 53 5 60 62 92 49 63
[9,] 80 13 61 85 46 46 67 85 82 40 69 63 16
[10,] 68 14 100 61 74 65 20 2 19 27 91 32 39
[11,] 95 27 51 42 90 61 40 20 8 67 38 94 63
[12,] 61 27 61 97 52 55 42 21 56 41 85 41 27
[13,] 46 100 50 89 18 66 77 50 5 73 13 46 56
[14,] 38 81 97 36 19 10 11 45 94 42 47 68 54
[15,] 81 47 89 44 1 78 7 79 60 3 95 95 34
[16,] 94 83 9 45 69 47 28 88 3 29 4 66 40
[17,] 63 82 91 32 35 56 3 74 18 78 89 88 62
[18,] 66 91 18 21 67 8 94 14 95 13 95 67 83
[19,] 17 92 23 13 87 46 75 63 39 51 86 96 32
[20,] 39 34 96 22 43 47 47 13 40 35 68 58 21
[21,] 21 91 94 54 30 78 49 59 51 30 38 70 79
[22,] 40 17 63 78 6 92 6 28 37 21 64 16 5
[23,] 39 71 43 12 61 64 66 1 22 75 40 50 21
[24,] 86 90 64 2 87 6 27 52 23 20 80 46 93
[25,] 29 11 93 69 67 86 11 60 12 19 95 15 50
[26,] 76 99 50 94 52 34 100 72 56 57 81 19 61
[27,] 55 70 15 20 62 71 71 20 33 52 72 37 29
[28,] 63 81 28 93 70 59 13 32 40 52 26 16 23
[29,] 94 82 5 87 91 13 96 60 45 35 54 89 66
[30,] 24 90 40 100 40 62 26 75 78 53 36 2 32
[31,] 55 26 11 21 39 96 25 41 31 51 26 44 70
[32,] 38 65 65 53 54 62 56 31 91 70 68 52 56
[33,] 26 8 99 83 92 41 6 29 81 62 67 84 53
[34,] 97 55 44 72 25 68 55 27 12 53 12 100 35
[35,] 77 10 94 24 77 100 22 94 75 64 58 11 29
[36,] 90 63 48 40 55 99 63 89 33 71 41 4 100
[37,] 16 7 19 86 56 19 7 16 10 35 17 54 98
[38,] 48 19 74 38 38 3 82 18 36 17 70 94 100
[39,] 6 22 34 66 14 67 92 15 16 75 54 61 79
[40,] 54 13 91 27 36 67 18 21 98 66 45 97 23
[41,] 92 92 24 82 94 92 86 34 26 54 34 45 3
[42,] 28 36 98 97 72 28 13 15 67 43 95 32 44
[43,] 29 42 38 13 39 29 71 18 59 90 85 50 80
[44,] 77 69 37 95 3 19 70 90 49 100 47 24 47
[45,] 32 45 52 26 92 88 15 64 80 97 93 18 80
[46,] 32 3 80 85 6 1 100 44 31 31 32 41 70
[47,] 55 26 61 44 42 43 33 69 96 33 77 30 9
[48,] 65 96 23 52 90 97 4 36 2 88 8 15 15
[49,] 43 6 21 80 16 40 65 24 25 84 70 45 37
[50,] 17 29 29 88 13 5 8 32 80 36 88 33 52
[51,] 72 84 52 87 73 37 28 4 56 30 74 33 11
[52,] 56 32 40 87 27 9 96 33 79 90 84 93 84
[53,] 94 70 94 35 67 66 74 18 47 54 77 66 2
[54,] 79 7 47 95 45 26 99 63 7 17 59 43 4
[55,] 14 53 83 100 40 6 6 12 20 59 62 36 43
[56,] 4 45 80 80 7 55 10 30 82 92 73 55 57
[57,] 37 94 29 64 57 68 13 50 53 93 30 81 50
[58,] 57 49 10 68 44 91 84 98 63 61 46 70 47
[59,] 35 54 73 3 51 18 76 75 56 47 96 100 85
[60,] 89 40 78 42 45 84 32 89 92 60 19 23 68
[61,] 96 89 11 11 56 99 38 69 54 38 34 95 99
[62,] 44 77 75 46 73 18 22 4 44 88 85 42 99
[63,] 91 100 99 54 49 23 17 38 77 1 97 77 73
[64,] 58 70 64 21 76 82 33 65 80 24 91 61 50
[65,] 74 80 32 22 89 58 31 13 16 98 99 51 81
[66,] 38 32 27 74 18 33 94 85 83 63 63 33 9
[67,] 50 1 24 36 84 72 74 19 21 8 20 67 19
[68,] 74 24 82 38 63 7 39 99 4 67 51 11 64
[69,] 86 35 25 43 76 99 54 7 79 82 41 28 61
[70,] 69 18 30 5 33 67 72 72 35 6 80 57 18
[71,] 10 71 93 27 53 11 1 49 37 65 79 92 2
[72,] 39 61 16 96 8 88 53 64 37 64 76 33 92
[73,] 16 23 8 43 89 57 9 12 53 24 64 97 72
[74,] 39 56 9 100 46 94 45 44 88 13 65 88 37
[75,] 84 60 51 64 42 75 33 71 75 39 52 19 52
[76,] 37 45 73 100 9 2 66 82 88 83 86 92 11
[77,] 16 96 58 20 8 12 62 73 95 85 78 68 7
[78,] 30 17 82 36 17 27 77 57 73 52 44 59 88
[79,] 83 65 46 59 11 99 63 57 72 97 24 15 96
[80,] 19 90 66 42 53 63 70 28 67 80 61 29 68
[81,] 67 91 76 91 43 82 31 32 64 11 4 64 7
[82,] 6 49 28 48 57 17 5 49 92 69 42 59 73
[83,] 81 58 61 63 36 45 3 30 16 3 11 64 35
[84,] 49 14 43 70 43 14 10 4 17 32 97 65 47
[85,] 47 28 97 70 56 6 75 99 76 38 21 60 66
[86,] 8 24 78 22 12 22 13 53 90 69 93 13 29
[87,] 23 8 34 99 73 9 8 50 64 89 3 85 75
[88,] 62 6 69 31 83 88 25 42 61 51 24 100 14
[89,] 50 47 44 26 28 37 92 51 94 68 49 16 54
[90,] 52 11 53 25 81 3 35 29 4 79 84 98 88
[91,] 70 83 67 60 40 81 72 58 87 47 54 34 74
[92,] 4 16 99 48 6 14 84 16 71 63 84 10 24
[93,] 58 74 91 78 65 63 38 66 35 90 85 31 93
[94,] 39 29 30 26 36 99 94 52 7 80 47 97 49
[95,] 50 52 82 84 32 42 20 3 43 8 78 88 72
[96,] 12 21 78 3 96 6 71 91 1 32 85 48 97
[97,] 52 78 80 93 50 78 74 56 24 51 82 89 6
[98,] 25 25 34 76 39 95 95 92 16 17 65 1 20
[99,] 71 81 82 51 3 27 88 42 31 36 4 49 45
[,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
[1,] 42 6 26 52 96 33 86 90 94 11 26 63
[2,] 59 28 14 100 41 70 83 37 26 90 41 68
[3,] 92 15 31 88 48 55 80 48 79 19 73 59
[4,] 20 19 95 59 50 70 29 92 33 94 79 69
[5,] 39 31 23 24 9 18 92 50 34 20 51 96
[6,] 31 71 97 97 21 37 46 66 74 98 42 23
[7,] 26 75 98 38 53 40 84 14 95 79 73 48
[8,] 89 47 17 59 35 29 26 78 18 58 2 5
[9,] 46 39 10 58 59 49 67 70 76 4 68 43
[10,] 70 62 44 24 14 82 82 85 18 59 20 94
[11,] 30 88 57 88 18 60 22 26 37 91 73 47
[12,] 91 11 24 72 5 41 64 48 55 68 97 57
[13,] 54 56 75 66 3 46 53 98 36 84 18 28
[14,] 82 90 53 80 2 37 49 9 69 77 47 72
[15,] 12 65 82 42 52 1 58 38 26 53 83 72
[16,] 85 71 35 47 83 10 93 81 59 73 31 21
[17,] 68 56 33 40 23 40 48 58 29 57 8 97
[18,] 91 52 17 87 70 76 27 87 44 60 28 81
[19,] 38 85 33 93 62 34 48 2 34 48 80 8
[20,] 65 48 39 26 86 64 21 56 16 37 63 36
[21,] 24 85 81 56 56 76 32 21 31 58 37 38
[22,] 3 20 12 71 42 80 17 39 67 39 4 60
[23,] 29 69 97 52 13 63 31 2 31 16 19 98
[24,] 73 31 64 17 6 29 46 34 50 2 23 80
[25,] 41 49 30 23 52 20 75 2 6 70 10 90
[26,] 13 43 83 6 38 10 21 87 36 64 22 3
[27,] 77 9 76 94 65 50 60 61 32 65 48 19
[28,] 31 14 19 27 20 62 9 98 1 35 19 53
[29,] 23 73 14 14 38 40 70 94 91 12 79 89
[30,] 55 47 5 29 13 43 75 6 88 37 83 50
[31,] 56 28 74 21 68 25 83 40 22 4 96 74
[32,] 29 22 62 56 82 32 52 59 77 67 67 100
[33,] 12 68 36 44 94 55 17 21 29 25 63 14
[34,] 36 10 28 55 12 73 48 72 87 55 89 22
[35,] 31 38 75 1 62 88 61 72 35 58 63 93
[36,] 46 84 43 73 5 85 52 68 11 60 96 16
[37,] 83 23 74 95 60 87 87 46 12 57 89 18
[38,] 79 60 55 67 45 76 92 37 2 83 19 9
[39,] 89 5 91 96 47 11 18 5 56 95 9 66
[40,] 59 97 57 46 21 56 99 90 68 91 27 43
[41,] 5 86 44 43 88 2 5 71 28 50 79 18
[42,] 45 73 67 44 10 17 32 92 34 53 66 44
[43,] 34 26 50 13 96 26 50 6 88 27 50 40
[44,] 63 48 71 55 19 58 39 44 67 22 29 30
[45,] 54 26 13 59 74 40 73 8 59 88 94 30
[46,] 66 14 93 30 69 29 36 54 38 83 56 41
[47,] 65 59 53 5 7 86 25 97 49 15 39 97
[48,] 21 10 62 59 86 1 62 45 32 18 53 23
[49,] 81 30 43 49 57 40 17 62 98 6 84 84
[50,] 49 64 13 15 98 4 22 30 94 2 11 51
[51,] 100 88 51 36 37 40 4 63 77 55 66 50
[52,] 7 93 51 63 69 22 27 34 19 86 48 3
[53,] 41 98 39 14 33 68 62 73 71 85 75 71
[54,] 27 28 27 27 40 97 15 63 72 1 32 61
[55,] 60 94 26 66 2 10 96 15 50 74 32 40
[56,] 11 49 47 31 95 97 57 100 90 78 82 33
[57,] 87 5 8 19 88 43 26 86 95 3 33 81
[58,] 40 35 2 8 13 40 51 69 72 74 27 8
[59,] 97 17 98 38 91 27 8 20 96 62 31 38
[60,] 17 2 85 12 45 24 48 24 57 44 74 29
[61,] 40 97 64 19 90 68 68 36 22 43 40 90
[62,] 60 39 47 90 68 36 72 17 90 36 73 55
[63,] 63 61 85 94 48 3 59 93 94 41 87 12
[64,] 4 80 53 97 64 82 77 12 22 42 41 75
[65,] 30 82 86 57 33 44 38 43 33 88 11 79
[66,] 38 82 6 1 15 67 8 18 97 25 81 58
[67,] 41 59 47 22 28 3 76 37 79 96 15 21
[68,] 16 25 20 9 24 47 32 72 53 20 17 96
[69,] 9 82 58 66 60 74 91 2 62 9 79 10
[70,] 8 23 48 12 23 95 58 59 10 91 74 84
[71,] 62 21 49 18 51 11 30 74 51 26 65 21
[72,] 15 100 90 22 55 97 26 19 75 91 33 39
[73,] 42 10 37 80 12 33 1 62 77 29 39 99
[74,] 83 94 61 1 85 40 95 56 23 2 29 88
[75,] 37 26 93 36 40 11 20 25 40 99 7 69
[76,] 70 53 20 97 27 94 83 84 35 8 31 77
[77,] 64 30 49 96 79 95 45 45 53 64 94 42
[78,] 73 37 63 89 82 98 42 70 26 50 11 21
[79,] 37 20 94 26 86 37 70 6 75 97 52 2
[80,] 85 4 30 73 46 23 11 53 29 30 61 48
[81,] 61 53 16 55 8 15 51 9 9 31 73 57
[82,] 82 25 16 23 67 12 7 42 61 49 29 47
[83,] 54 96 71 62 50 79 1 26 50 45 5 78
[84,] 54 86 82 6 89 36 64 19 29 4 17 36
[85,] 69 77 71 43 73 72 85 81 83 78 28 16
[86,] 4 54 1 37 21 42 52 80 88 91 29 80
[87,] 88 59 65 93 13 30 65 99 98 38 89 62
[88,] 26 100 73 11 88 77 22 37 4 82 25 76
[89,] 62 19 13 56 54 45 71 9 71 38 73 85
[90,] 40 13 69 62 96 80 32 83 23 33 43 34
[91,] 8 91 27 92 7 33 33 21 27 41 38 43
[92,] 48 7 58 88 43 12 50 43 90 88 68 61
[93,] 70 25 79 69 63 70 28 63 90 99 66 10
[94,] 83 69 96 59 94 86 72 28 62 67 80 95
[95,] 31 92 21 95 99 43 23 81 57 16 56 19
[96,] 93 43 14 68 13 85 17 83 45 79 7 15
[97,] 83 15 3 2 24 12 55 90 55 97 20 81
[98,] 2 65 90 80 62 6 43 54 67 1 100 31
[99,] 69 34 34 29 64 87 82 85 60 4 83 26
[,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
[1,] 11 85 21 58 67 70 52 99 44 98 39 57
[2,] 72 1 92 88 22 54 42 73 85 13 90 43
[3,] 80 7 34 16 73 16 6 99 23 22 69 22
[4,] 50 7 86 32 100 50 44 94 7 21 55 8
[5,] 98 8 37 45 45 57 3 48 71 93 91 53
[6,] 5 47 18 17 67 14 63 45 10 34 8 79
[7,] 94 75 37 4 77 92 49 7 26 93 65 90
[8,] 100 38 46 41 17 56 91 21 91 89 78 46
[9,] 5 74 83 13 23 9 72 18 39 6 93 40
[10,] 67 81 27 79 71 60 59 25 27 21 60 99
[11,] 18 90 82 83 83 59 79 62 60 55 44 51
[12,] 68 43 63 44 96 57 61 8 100 18 44 89
[13,] 64 21 46 17 52 7 80 32 56 60 48 60
[14,] 24 56 9 77 71 10 52 29 87 51 27 25
[15,] 66 53 95 81 87 77 62 97 88 73 47 31
[16,] 76 53 98 67 94 80 31 26 62 13 35 25
[17,] 99 24 45 90 4 92 78 19 98 68 94 96
[18,] 18 18 21 44 56 97 7 69 53 24 63 48
[19,] 24 59 36 49 59 33 34 13 64 51 98 38
[20,] 59 13 84 24 36 68 77 49 10 16 46 74
[21,] 79 1 70 86 85 34 17 66 54 71 69 38
[22,] 34 88 7 28 47 4 80 66 83 97 39 87
[23,] 76 23 7 82 48 100 11 5 51 71 40 15
[24,] 36 11 88 10 16 38 28 12 20 60 99 2
[25,] 18 82 48 27 45 83 74 47 24 76 100 53
[26,] 47 50 79 95 20 60 7 52 25 72 37 75
[27,] 40 99 50 85 14 82 68 55 98 58 44 87
[28,] 59 100 13 100 11 37 11 21 4 70 43 24
[29,] 73 51 100 33 10 69 41 97 80 79 90 71
[30,] 73 56 76 94 44 18 10 98 55 94 75 47
[31,] 13 90 9 53 5 13 39 51 30 17 58 30
[32,] 88 7 98 23 92 52 18 96 30 39 20 12
[33,] 39 12 46 56 86 87 49 100 22 4 99 97
[34,] 18 82 95 20 46 60 8 4 40 35 32 24
[35,] 23 64 66 26 36 13 30 39 21 3 49 49
[36,] 61 58 20 76 88 90 91 59 80 28 12 16
[37,] 15 25 10 87 18 9 97 29 66 83 46 73
[38,] 87 14 66 20 68 31 48 12 43 81 49 55
[39,] 26 97 88 100 27 49 53 71 69 79 74 46
[40,] 96 61 98 63 19 29 34 73 29 45 31 11
[41,] 35 49 88 37 12 71 68 5 34 34 57 36
[42,] 45 8 66 94 5 85 42 34 3 83 75 34
[43,] 54 96 42 30 69 35 55 53 63 89 73 20
[44,] 30 78 2 57 37 69 61 53 76 35 86 26
[45,] 65 38 28 89 80 74 94 33 44 76 65 33
[46,] 97 81 43 60 71 44 53 61 84 38 12 84
[47,] 22 9 8 33 92 94 7 74 62 32 87 12
[48,] 9 46 59 85 1 13 95 81 60 29 31 56
[49,] 49 78 28 81 11 32 49 15 71 91 63 32
[50,] 82 11 39 1 96 48 90 97 72 92 94 72
[51,] 12 93 24 69 79 43 13 18 36 42 89 65
[52,] 4 89 79 38 94 10 19 70 54 71 92 34
[53,] 76 41 69 31 4 14 99 43 57 13 82 76
[54,] 92 38 74 94 34 83 83 76 68 25 69 9
[55,] 92 31 82 22 21 35 38 19 50 88 78 92
[56,] 21 98 73 36 15 13 72 14 83 18 72 88
[57,] 94 85 66 21 41 33 87 46 85 94 57 70
[58,] 81 80 97 82 11 19 2 17 26 63 27 47
[59,] 86 34 27 65 61 47 71 24 39 34 42 59
[60,] 53 14 10 77 20 66 76 22 94 7 22 81
[61,] 41 79 1 90 10 72 1 92 18 1 79 32
[62,] 17 30 20 10 73 21 66 4 6 75 72 65
[63,] 94 78 58 69 67 90 71 27 95 68 4 68
[64,] 21 63 44 46 47 8 77 70 12 10 93 6
[65,] 95 95 87 86 22 52 72 25 38 27 68 77
[66,] 76 64 46 86 4 28 54 47 26 33 49 36
[67,] 20 14 89 21 24 26 55 37 26 16 63 25
[68,] 1 67 14 95 67 18 16 88 64 66 19 97
[69,] 9 87 35 87 36 63 75 11 31 12 42 38
[70,] 25 32 73 38 29 5 89 1 39 53 25 47
[71,] 41 38 62 6 28 54 39 36 7 54 2 19
[72,] 38 8 18 75 42 9 91 13 15 55 11 18
[73,] 33 51 57 38 66 33 58 7 30 96 28 38
[74,] 72 40 95 27 11 16 77 88 46 90 34 88
[75,] 9 24 67 100 39 97 44 64 60 57 93 31
[76,] 42 16 3 61 57 52 73 57 16 14 18 88
[77,] 62 75 76 42 45 33 98 68 70 8 98 66
[78,] 47 20 65 45 46 26 72 42 46 40 95 60
[79,] 5 86 14 8 2 47 93 39 70 85 86 59
[80,] 62 91 53 25 95 58 51 1 47 77 26 6
[81,] 55 6 80 40 61 40 97 46 46 64 31 24
[82,] 13 48 76 17 3 57 81 96 36 42 38 52
[83,] 9 80 28 21 9 46 7 24 59 32 52 9
[84,] 47 14 51 86 44 69 55 37 31 36 91 85
[85,] 19 44 36 8 90 42 19 66 1 13 67 94
[86,] 9 44 12 78 36 7 88 23 88 42 14 10
[87,] 14 39 5 57 33 21 4 78 28 31 73 98
[88,] 89 17 67 60 5 26 67 93 7 90 60 56
[89,] 81 67 69 1 87 94 64 24 75 11 69 91
[90,] 26 29 38 14 26 5 14 59 8 73 69 31
[91,] 41 51 71 96 57 90 30 84 28 32 2 73
[92,] 75 37 35 80 92 77 70 70 98 59 83 23
[93,] 67 7 86 43 63 19 75 30 47 11 94 82
[94,] 75 64 19 51 13 81 27 47 13 5 9 53
[95,] 21 85 5 55 1 61 88 16 13 30 7 95
[96,] 17 81 91 11 34 31 97 46 16 92 61 99
[97,] 18 6 41 67 92 63 60 28 9 76 57 58
[98,] 84 64 2 89 8 75 28 29 34 76 78 52
[99,] 10 88 47 34 2 86 37 66 2 45 25 70
[,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
[1,] 29 24 94 98 41 83 12 62 43 32 26 68
[2,] 34 78 4 93 27 27 83 3 29 54 26 67
[3,] 77 45 2 8 94 10 42 79 17 55 96 15
[4,] 33 36 25 57 96 50 35 10 59 92 39 12
[5,] 24 4 80 45 66 51 37 54 26 47 93 68
[6,] 79 16 37 27 79 33 65 17 86 18 70 95
[7,] 41 81 4 12 76 37 65 20 15 15 38 12
[8,] 33 30 79 64 93 83 31 10 63 25 47 23
[9,] 52 80 71 15 75 16 82 49 47 97 24 29
[10,] 99 48 76 76 36 12 38 58 6 46 82 37
[11,] 14 35 95 2 8 9 31 90 21 98 86 28
[12,] 12 14 74 5 19 59 43 45 80 97 4 70
[13,] 65 98 76 74 62 96 92 13 91 48 73 3
[14,] 81 36 4 59 75 22 82 11 87 11 38 37
[15,] 77 87 96 89 72 55 91 86 63 90 21 21
[16,] 40 31 55 77 93 26 67 61 40 18 70 42
[17,] 52 16 11 22 42 9 56 56 65 75 12 90
[18,] 85 98 86 62 99 29 16 68 87 98 7 17
[19,] 69 54 77 43 7 75 51 9 52 21 76 50
[20,] 88 80 68 49 31 7 85 58 63 67 32 42
[21,] 63 86 55 41 14 5 86 30 75 31 79 50
[22,] 68 41 55 64 43 76 84 55 52 40 91 17
[23,] 87 74 86 23 68 62 11 8 3 51 7 11
[24,] 25 36 23 94 18 34 97 91 50 5 27 58
[25,] 60 92 93 17 59 9 32 93 95 81 35 5
[26,] 15 28 63 43 76 70 74 100 62 75 39 18
[27,] 97 37 52 79 64 50 36 42 78 21 43 92
[28,] 12 31 1 72 64 14 64 98 29 72 30 30
[29,] 8 42 99 27 9 27 65 78 16 83 17 30
[30,] 3 63 64 73 28 23 11 97 6 25 18 38
[31,] 30 13 7 87 42 90 96 67 30 97 41 9
[32,] 53 82 47 24 17 39 48 59 20 44 14 12
[33,] 91 77 25 88 28 21 39 9 54 93 61 76
[34,] 97 45 20 25 18 15 22 28 41 14 22 8
[35,] 39 8 46 74 29 75 31 32 5 95 54 15
[36,] 17 70 73 7 63 11 99 32 23 78 45 93
[37,] 57 65 91 74 6 71 83 58 63 97 5 52
[38,] 82 36 75 60 9 74 99 19 69 55 30 5
[39,] 24 11 46 30 6 47 24 32 26 50 90 99
[40,] 1 86 74 3 18 96 96 9 53 39 48 13
[41,] 49 100 2 31 51 22 36 84 94 23 10 34
[42,] 43 68 75 96 69 15 83 70 23 5 41 30
[43,] 99 85 69 32 93 15 89 97 11 22 42 13
[44,] 89 42 78 98 50 10 2 77 88 73 75 43
[45,] 25 97 50 75 4 62 28 94 34 99 35 55
[46,] 69 38 38 21 74 22 67 85 94 52 45 100
[47,] 73 51 95 11 65 84 31 9 40 76 72 50
[48,] 43 37 87 72 73 71 9 44 58 60 76 18
[49,] 77 81 24 79 54 98 97 81 70 46 66 19
[50,] 54 68 59 5 40 84 20 50 39 2 98 15
[51,] 21 72 41 92 71 56 46 74 12 43 29 91
[52,] 12 10 1 40 75 74 44 99 30 6 10 94
[53,] 50 81 34 28 5 47 80 97 60 10 96 75
[54,] 71 100 49 49 60 82 56 51 63 41 86 71
[55,] 69 66 30 21 99 61 73 70 61 5 41 2
[56,] 78 53 98 76 42 64 3 27 53 67 64 83
[57,] 84 46 24 14 36 57 65 41 22 33 22 9
[58,] 40 61 84 45 7 31 93 81 64 92 71 97
[59,] 84 83 74 46 23 44 80 80 71 21 79 58
[60,] 52 50 48 35 86 43 3 48 74 89 23 63
[61,] 79 98 60 98 83 82 34 68 5 55 94 78
[62,] 78 67 48 14 51 59 84 17 65 80 10 94
[63,] 41 49 68 51 86 77 16 73 56 21 45 92
[64,] 42 6 18 64 32 82 63 52 24 42 94 20
[65,] 70 13 44 66 60 64 100 88 43 13 22 92
[66,] 75 30 25 92 46 20 70 61 81 93 74 29
[67,] 24 16 92 85 28 43 12 60 30 55 11 97
[68,] 57 89 43 74 46 29 21 23 53 75 54 24
[69,] 73 20 40 77 1 54 100 2 67 43 100 49
[70,] 71 43 43 98 95 17 85 67 12 31 47 51
[71,] 33 73 85 96 7 18 57 57 60 56 85 67
[72,] 81 73 86 48 14 35 14 68 84 5 59 45
[73,] 43 61 81 79 51 14 79 56 41 100 87 70
[74,] 85 34 3 50 70 11 19 8 28 61 52 43
[75,] 28 13 43 32 88 50 9 6 3 43 69 44
[76,] 36 83 14 61 24 43 41 17 64 62 32 13
[77,] 96 2 46 17 97 44 83 26 40 12 48 72
[78,] 94 77 65 93 21 79 70 69 18 75 29 59
[79,] 62 22 6 94 91 78 57 68 65 33 89 10
[80,] 21 9 13 25 84 22 40 34 10 31 23 82
[81,] 7 48 36 12 80 32 93 54 98 46 29 17
[82,] 2 71 76 82 100 54 82 57 88 34 99 19
[83,] 21 43 93 33 19 8 5 83 4 27 29 54
[84,] 96 90 44 5 28 78 67 76 71 10 98 57
[85,] 55 55 99 8 93 60 96 32 30 54 1 16
[86,] 24 36 69 65 18 56 51 78 80 39 78 35
[87,] 9 1 67 56 41 1 61 86 4 18 29 87
[88,] 94 42 5 56 93 4 74 62 98 37 94 77
[89,] 50 72 76 95 57 28 87 64 89 12 30 68
[90,] 55 6 26 35 16 37 27 83 40 91 29 79
[91,] 27 57 38 96 65 67 54 20 24 82 30 95
[92,] 50 67 57 38 77 77 81 100 87 8 12 93
[93,] 13 15 14 96 94 61 83 48 78 6 69 32
[94,] 35 66 14 68 98 38 49 85 16 26 88 12
[95,] 89 58 53 31 20 87 17 7 25 15 60 18
[96,] 64 20 48 24 70 46 88 76 38 74 79 57
[97,] 96 63 78 39 27 39 61 72 47 74 69 57
[98,] 22 16 24 2 30 52 48 3 43 46 88 98
[99,] 13 21 72 61 70 6 31 47 12 99 74 72
[,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
[1,] 9 47 67 6 51 38 20 76 95 75 22 92
[2,] 41 25 90 14 91 58 11 73 31 99 22 99
[3,] 78 65 64 80 13 93 98 63 55 18 89 63
[4,] 87 10 100 52 82 40 3 75 61 93 71 56
[5,] 30 34 68 1 8 19 4 36 69 73 38 41
[6,] 61 50 65 14 83 42 5 93 26 63 99 18
[7,] 47 58 72 59 99 85 60 94 73 86 25 35
[8,] 80 83 41 74 93 52 46 73 18 8 84 95
[9,] 36 82 69 46 9 71 6 42 79 62 35 42
[10,] 56 4 39 83 76 5 77 20 94 79 12 12
[11,] 20 21 53 11 10 10 26 3 8 33 66 59
[12,] 38 37 77 66 23 97 100 96 9 41 72 62
[13,] 86 8 72 73 57 56 53 3 89 12 70 47
[14,] 58 75 30 78 45 67 76 26 51 78 78 72
[15,] 70 94 12 95 93 33 45 22 17 98 39 58
[16,] 77 11 31 16 50 81 36 75 65 89 41 29
[17,] 41 17 35 80 23 80 59 39 69 63 6 24
[18,] 77 91 21 94 2 23 34 36 84 42 65 97
[19,] 78 69 45 40 27 23 32 22 46 17 26 9
[20,] 18 83 74 93 50 100 100 36 27 13 13 89
[21,] 47 2 17 34 36 33 89 50 4 94 18 43
[22,] 87 2 11 3 61 72 99 84 87 87 64 60
[23,] 33 29 49 84 61 61 76 77 45 81 100 98
[24,] 30 56 42 75 15 59 46 47 48 19 4 82
[25,] 91 68 59 42 52 80 58 71 29 5 80 28
[26,] 46 70 34 61 93 95 69 16 87 10 32 65
[27,] 13 23 79 44 50 63 89 11 90 1 4 77
[28,] 54 89 14 92 23 21 49 41 84 46 69 62
[29,] 83 4 63 22 13 33 79 93 20 4 87 71
[30,] 21 83 15 57 7 88 36 54 81 21 96 14
[31,] 90 25 90 54 9 40 99 40 41 58 84 75
[32,] 13 86 27 69 44 17 65 90 48 33 65 22
[33,] 46 99 93 68 71 73 61 9 65 19 36 5
[34,] 53 69 88 7 95 55 67 97 34 32 28 80
[35,] 25 8 19 1 78 54 68 12 92 16 35 94
[36,] 88 5 82 48 85 71 18 67 49 35 50 67
[37,] 28 60 75 83 23 74 94 77 12 69 31 2
[38,] 65 84 81 10 44 38 66 39 65 67 55 79
[39,] 56 77 22 78 61 80 24 40 46 79 72 99
[40,] 53 98 61 24 45 77 95 93 55 81 48 97
[41,] 56 1 34 7 41 33 80 66 59 71 10 35
[42,] 33 43 53 57 21 73 22 67 90 78 10 32
[43,] 69 35 60 44 59 99 64 26 89 32 64 49
[44,] 63 86 60 60 14 52 98 44 84 82 65 77
[45,] 5 95 37 91 4 7 92 26 67 89 33 70
[46,] 60 40 11 40 6 45 95 42 81 78 16 77
[47,] 54 71 92 96 44 78 83 16 61 23 92 1
[48,] 77 59 8 94 69 27 17 68 20 31 51 54
[49,] 50 1 95 93 85 87 46 34 98 79 39 72
[50,] 74 98 5 56 8 22 41 4 1 100 60 60
[51,] 53 28 57 70 84 94 46 52 64 99 43 79
[52,] 5 85 59 73 3 39 10 55 19 60 62 33
[53,] 4 96 35 31 31 57 1 49 89 100 39 19
[54,] 17 84 57 97 60 78 80 48 24 92 30 74
[55,] 5 54 51 33 2 34 34 49 50 8 34 80
[56,] 23 93 5 12 74 28 94 53 8 23 75 93
[57,] 63 37 73 31 98 62 68 79 78 91 8 97
[58,] 96 67 59 28 50 22 75 1 72 74 29 81
[59,] 15 3 30 3 41 83 62 54 52 48 5 20
[60,] 41 36 65 9 26 20 15 76 49 27 95 100
[61,] 18 16 18 89 84 47 21 68 9 93 100 88
[62,] 4 86 27 13 10 2 74 15 97 63 97 41
[63,] 33 98 16 73 70 92 27 41 71 16 26 70
[64,] 64 97 16 62 55 99 98 9 90 70 73 73
[65,] 22 54 97 77 31 30 31 53 56 29 34 10
[66,] 75 53 32 1 49 56 16 89 92 28 30 93
[67,] 99 38 66 53 53 57 77 16 49 29 18 84
[68,] 37 1 27 73 30 46 59 51 46 75 55 63
[69,] 42 51 56 13 88 96 67 52 12 15 35 90
[70,] 42 95 83 67 21 9 8 64 31 20 20 17
[71,] 36 46 64 17 29 29 73 97 58 49 83 60
[72,] 33 16 56 61 38 93 28 33 96 47 67 54
[73,] 13 34 67 12 13 7 18 41 15 67 9 5
[74,] 53 67 24 16 30 89 52 41 54 5 8 97
[75,] 63 16 71 72 76 42 30 54 4 60 8 67
[76,] 24 30 89 25 43 63 51 87 98 44 46 77
[77,] 57 49 58 29 54 40 76 27 51 15 90 34
[78,] 53 98 36 34 91 91 65 41 46 26 37 85
[79,] 60 22 43 44 53 46 90 44 78 5 92 40
[80,] 34 15 100 93 55 1 71 82 72 35 93 84
[81,] 99 83 64 54 47 51 97 74 39 40 20 49
[82,] 67 85 3 85 96 90 73 11 33 50 96 100
[83,] 17 87 12 97 29 53 37 7 35 60 79 69
[84,] 56 97 23 52 6 12 30 14 87 96 94 36
[85,] 81 97 64 18 2 12 82 38 8 15 74 67
[86,] 7 66 50 1 78 4 5 73 79 46 16 92
[87,] 54 70 12 96 36 95 47 18 85 52 79 86
[88,] 98 99 71 40 28 33 27 16 4 5 35 19
[89,] 61 21 61 68 67 18 60 36 73 76 27 49
[90,] 85 77 61 24 39 11 67 71 91 66 39 7
[91,] 65 61 45 38 87 1 16 60 68 9 55 25
[92,] 48 77 35 4 42 66 18 81 9 62 12 6
[93,] 97 8 3 45 97 51 91 70 19 10 16 2
[94,] 82 29 6 98 65 64 92 53 52 3 30 59
[95,] 3 92 94 4 51 47 91 39 10 93 6 87
[96,] 47 94 82 97 19 48 59 92 15 39 70 76
[97,] 52 8 87 78 48 33 55 37 29 34 5 98
[98,] 48 12 62 24 97 88 45 31 75 33 34 93
[99,] 64 73 72 21 59 61 14 87 5 33 70 52
[,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
[1,] 53 99 81 56 6 61 49 85 32 20 22 52
[2,] 51 86 100 5 15 37 93 54 60 22 81 100
[3,] 15 38 40 92 54 59 27 20 41 69 40 18
[4,] 4 26 24 48 20 23 50 8 62 72 19 100
[5,] 29 79 97 59 48 31 47 52 23 80 10 29
[6,] 71 62 72 67 47 44 7 65 94 61 52 100
[7,] 79 6 30 67 78 18 59 5 91 95 44 34
[8,] 33 27 88 37 76 96 90 14 81 16 60 95
[9,] 84 8 18 46 67 69 99 1 98 14 57 65
[10,] 71 6 38 49 25 7 62 45 27 85 92 88
[11,] 60 43 1 81 73 100 27 23 90 27 88 15
[12,] 8 63 35 76 54 2 46 83 96 55 12 54
[13,] 80 91 95 49 95 36 60 38 44 34 36 17
[14,] 74 11 63 99 25 88 31 48 95 39 90 1
[15,] 47 18 19 91 100 77 20 24 76 12 1 22
[16,] 82 13 65 84 20 45 86 98 49 23 60 95
[17,] 83 65 5 60 87 77 54 23 88 9 7 26
[18,] 62 6 1 91 22 57 13 54 31 5 66 45
[19,] 73 61 22 10 78 47 44 62 15 11 94 13
[20,] 67 66 79 33 80 26 39 41 76 42 32 9
[21,] 82 15 75 35 98 68 45 94 69 37 57 95
[22,] 50 14 28 80 30 5 84 48 55 82 12 97
[23,] 19 15 54 45 63 93 71 9 26 16 32 7
[24,] 66 50 17 12 63 36 46 41 64 99 65 53
[25,] 51 7 88 49 25 1 77 9 74 77 48 4
[26,] 37 98 61 97 17 34 31 64 24 98 96 80
[27,] 85 3 62 15 98 32 88 31 98 56 78 12
[28,] 27 89 87 71 4 80 15 29 26 78 30 84
[29,] 77 60 59 29 84 43 28 40 91 19 8 17
[30,] 43 65 98 78 74 1 1 60 13 5 40 78
[31,] 98 79 19 27 44 80 70 30 53 70 2 76
[32,] 69 52 87 10 82 27 37 3 47 69 47 48
[33,] 54 100 17 13 98 26 90 78 5 12 27 46
[34,] 16 6 15 64 42 70 7 5 2 17 36 77
[35,] 39 95 58 73 9 91 60 88 12 9 62 66
[36,] 24 41 22 23 4 67 28 1 38 19 58 70
[37,] 87 24 23 28 89 75 75 11 74 40 9 28
[38,] 35 49 1 57 26 4 21 62 2 9 97 68
[39,] 45 61 89 80 90 16 79 36 72 45 27 14
[40,] 15 33 27 61 86 88 20 40 87 84 43 85
[41,] 43 38 68 6 74 100 93 87 91 24 32 11
[42,] 83 42 12 67 7 60 65 31 89 56 17 87
[43,] 98 43 20 55 64 31 99 95 29 16 99 64
[44,] 55 1 13 54 63 46 15 32 67 28 31 82
[45,] 48 64 44 40 98 86 75 1 89 86 94 81
[46,] 2 80 47 13 25 83 37 47 6 3 74 56
[47,] 62 47 9 18 52 36 77 44 18 84 98 38
[48,] 89 7 16 7 61 93 9 69 60 87 37 83
[49,] 74 86 36 78 24 97 71 80 64 19 38 15
[50,] 55 79 43 82 12 69 25 77 65 44 24 52
[51,] 58 43 15 39 74 93 65 54 65 31 77 100
[52,] 75 35 84 42 80 39 53 81 40 13 43 96
[53,] 77 7 54 14 65 37 91 61 68 42 10 41
[54,] 10 31 41 25 85 60 23 3 84 70 2 75
[55,] 93 90 85 66 92 64 83 8 49 66 54 27
[56,] 64 58 85 42 50 5 44 73 44 71 33 63
[57,] 57 16 48 77 20 27 2 45 72 25 89 27
[58,] 94 7 49 31 51 88 41 14 69 25 7 58
[59,] 38 59 96 75 77 84 1 80 7 91 28 66
[60,] 44 25 8 84 34 94 60 47 98 70 18 11
[61,] 14 78 54 39 5 25 91 44 91 98 73 77
[62,] 41 93 32 86 26 15 31 30 66 60 56 26
[63,] 1 18 66 66 48 51 52 64 30 85 75 24
[64,] 74 42 63 60 49 46 18 19 59 98 41 52
[65,] 9 12 97 87 68 67 32 57 90 36 99 70
[66,] 24 89 70 72 17 74 99 77 70 47 11 49
[67,] 50 43 9 41 88 92 38 3 84 86 48 64
[68,] 93 89 96 58 78 17 8 24 28 29 15 94
[69,] 87 66 21 93 16 27 62 92 12 58 91 98
[70,] 53 15 19 71 91 89 51 82 82 98 33 73
[71,] 37 40 78 20 31 77 30 99 64 38 62 76
[72,] 33 41 71 85 66 78 100 93 77 93 92 77
[73,] 17 53 13 90 40 56 1 33 39 38 60 84
[74,] 6 38 93 58 93 81 25 4 67 47 32 86
[75,] 6 68 46 70 65 96 93 20 26 14 97 43
[76,] 99 78 54 38 87 88 2 55 39 63 30 80
[77,] 82 22 25 80 87 32 87 24 9 48 62 52
[78,] 82 26 82 94 34 50 54 77 100 17 40 2
[79,] 18 12 15 36 84 54 48 78 51 2 68 30
[80,] 23 36 82 59 61 3 90 6 97 2 84 55
[81,] 62 71 66 51 28 47 56 48 35 72 47 23
[82,] 64 39 12 43 38 45 92 1 88 24 49 28
[83,] 39 64 18 34 39 86 10 83 64 45 95 83
[84,] 30 7 97 97 30 16 17 56 56 75 3 60
[85,] 91 27 53 62 54 50 3 59 24 94 56 17
[86,] 41 36 69 49 5 10 84 83 32 45 98 67
[87,] 61 34 41 34 33 67 48 24 20 45 77 97
[88,] 21 76 71 35 68 3 54 80 60 46 19 97
[89,] 6 82 85 94 99 34 50 88 22 89 64 25
[90,] 45 7 77 27 85 41 73 61 24 54 9 43
[91,] 19 99 33 22 47 79 26 87 25 72 49 49
[92,] 53 85 14 33 17 94 34 56 17 2 36 96
[93,] 42 64 38 4 12 92 76 2 26 39 76 35
[94,] 85 70 60 19 100 19 52 48 51 27 51 46
[95,] 45 79 79 73 6 5 9 13 71 84 19 100
[96,] 10 54 16 94 15 6 38 49 83 37 30 43
[97,] 52 36 73 53 5 72 70 40 6 88 100 22
[98,] 1 46 34 21 39 81 41 99 46 91 51 34
[99,] 98 60 11 11 39 26 51 73 34 17 34 94
[,74] [,75] [,76] [,77] [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85]
[1,] 79 42 44 87 41 33 81 47 87 72 93 93
[2,] 65 25 78 52 9 10 3 74 97 47 6 15
[3,] 19 1 15 90 23 12 70 89 42 21 76 81
[4,] 19 49 88 33 56 48 62 86 55 13 83 59
[5,] 86 74 12 69 90 93 7 54 95 12 42 71
[6,] 69 52 98 16 64 66 10 87 79 100 50 74
[7,] 21 14 33 25 46 95 5 60 42 67 58 18
[8,] 20 13 5 12 37 81 95 39 48 27 67 36
[9,] 41 50 89 60 57 41 13 90 15 14 99 77
[10,] 41 97 10 5 75 94 47 93 54 90 13 82
[11,] 38 28 74 66 91 57 45 70 81 2 20 11
[12,] 4 32 2 8 4 26 16 94 89 100 84 64
[13,] 20 10 11 17 81 37 40 43 73 33 95 51
[14,] 58 19 28 48 55 31 53 48 90 32 22 51
[15,] 6 98 6 56 19 17 93 78 2 66 36 53
[16,] 12 89 47 31 60 78 34 99 58 1 8 76
[17,] 30 25 78 44 36 16 42 29 38 59 63 79
[18,] 61 23 49 95 94 95 73 44 45 68 98 29
[19,] 82 47 72 98 59 50 90 83 65 55 95 9
[20,] 84 73 77 72 81 28 2 89 13 77 3 19
[21,] 52 26 82 45 60 82 30 44 1 99 88 20
[22,] 94 30 13 37 81 12 73 86 86 60 79 36
[23,] 85 27 92 46 4 32 92 32 60 60 17 15
[24,] 42 27 11 15 78 17 31 87 22 49 44 70
[25,] 37 6 61 96 53 48 68 17 100 82 73 22
[26,] 86 98 58 55 94 69 1 56 19 29 63 55
[27,] 90 39 24 88 72 13 100 79 47 47 97 25
[28,] 39 72 31 35 74 73 62 23 52 81 64 100
[29,] 50 72 71 84 56 92 4 74 88 80 60 12
[30,] 2 14 43 54 89 1 22 88 52 45 39 98
[31,] 78 57 87 4 71 13 30 28 100 5 97 53
[32,] 67 6 7 79 62 98 73 11 39 68 47 15
[33,] 45 87 9 6 71 73 68 34 80 31 61 18
[34,] 29 56 85 20 97 85 7 79 37 29 61 79
[35,] 54 65 81 16 26 67 7 23 93 68 13 63
[36,] 50 3 7 86 12 16 59 97 85 45 96 98
[37,] 100 44 70 23 91 85 10 96 51 16 58 35
[38,] 57 67 16 55 18 49 78 38 54 28 46 59
[39,] 67 62 88 5 57 43 33 69 30 54 89 76
[40,] 67 75 20 99 65 27 17 6 94 91 14 95
[41,] 73 92 100 32 73 84 15 39 8 26 43 94
[42,] 87 94 2 74 55 9 89 68 5 17 79 10
[43,] 1 97 61 61 11 33 23 57 25 22 29 71
[44,] 16 4 5 68 10 58 16 19 62 25 51 37
[45,] 11 41 90 66 56 9 61 2 64 13 37 34
[46,] 54 66 37 64 52 41 99 88 45 8 93 31
[47,] 95 39 66 54 81 86 79 1 11 67 64 1
[48,] 90 26 6 96 89 21 39 90 52 27 48 25
[49,] 40 27 63 9 42 89 31 60 53 59 96 20
[50,] 18 42 31 70 66 7 77 100 46 90 4 100
[51,] 36 38 92 76 94 80 92 65 8 29 50 56
[52,] 30 9 39 69 99 37 74 29 29 98 25 60
[53,] 26 81 62 12 82 55 58 13 55 6 91 70
[54,] 100 88 5 88 11 82 68 48 29 71 38 64
[55,] 36 34 1 31 62 80 8 62 50 46 41 7
[56,] 39 48 24 90 100 36 99 65 95 1 45 29
[57,] 26 17 72 6 90 2 19 41 82 9 5 12
[58,] 63 30 12 78 41 29 53 11 97 33 48 58
[59,] 43 90 66 73 10 88 71 47 8 61 65 78
[60,] 17 100 22 39 89 77 25 71 4 75 17 16
[61,] 76 95 38 31 51 65 7 87 59 45 95 65
[62,] 27 94 11 85 30 6 40 62 99 21 29 80
[63,] 79 36 9 96 4 71 26 39 65 47 4 91
[64,] 80 6 17 63 76 12 52 32 46 44 74 54
[65,] 55 35 43 86 96 99 48 81 42 97 3 22
[66,] 91 73 61 92 17 22 65 96 22 9 24 31
[67,] 38 10 100 22 7 23 8 77 21 70 69 16
[68,] 98 25 32 44 59 65 41 53 68 3 80 32
[69,] 52 27 73 95 61 37 26 98 61 86 17 24
[70,] 56 12 68 4 9 41 46 15 30 21 92 18
[71,] 24 27 73 58 42 41 16 66 26 65 52 81
[72,] 72 30 38 78 97 96 23 8 2 14 45 84
[73,] 51 87 94 29 39 82 100 37 55 15 67 34
[74,] 4 14 67 5 90 32 72 50 60 56 56 83
[75,] 19 1 71 86 82 22 42 80 21 78 16 82
[76,] 25 59 70 55 23 9 23 68 9 17 74 57
[77,] 46 71 96 51 71 33 58 79 65 33 26 9
[78,] 69 99 15 39 67 65 48 29 9 36 14 90
[79,] 87 10 31 2 5 68 18 81 71 69 78 84
[80,] 20 34 71 8 93 64 19 86 67 10 27 20
[81,] 24 75 14 59 64 29 49 75 45 76 2 36
[82,] 99 74 9 74 73 19 34 13 64 82 58 7
[83,] 33 50 67 40 75 17 16 93 11 6 71 56
[84,] 71 61 62 71 98 17 30 49 85 72 29 13
[85,] 68 38 74 79 84 91 94 48 49 73 52 15
[86,] 14 48 60 15 70 78 51 66 28 22 82 12
[87,] 54 34 45 36 39 55 43 45 96 26 76 99
[88,] 95 81 31 14 27 90 4 45 53 34 44 60
[89,] 2 82 25 99 11 99 40 12 71 84 33 97
[90,] 95 30 9 33 87 27 72 60 19 35 26 91
[91,] 85 94 3 67 62 65 27 100 67 65 14 84
[92,] 79 80 100 88 35 61 90 75 75 64 33 53
[93,] 28 81 84 22 8 51 83 78 34 43 75 96
[94,] 84 60 59 28 93 75 44 10 20 75 72 90
[95,] 58 52 88 41 80 48 17 96 11 47 18 85
[96,] 49 98 34 31 91 74 97 79 37 7 94 96
[97,] 49 79 21 35 23 89 58 28 93 38 49 7
[98,] 27 31 38 80 14 87 34 23 65 4 82 58
[99,] 35 88 2 71 4 74 38 5 29 93 11 82
[,86] [,87] [,88] [,89] [,90] [,91] [,92] [,93] [,94] [,95] [,96] [,97]
[1,] 8 9 45 76 56 53 59 3 16 52 11 3
[2,] 81 91 52 8 77 41 31 97 9 57 56 93
[3,] 95 62 97 93 83 80 52 46 64 86 60 81
[4,] 55 71 92 100 24 14 39 5 76 91 21 90
[5,] 42 48 15 32 1 97 39 23 78 33 45 21
[6,] 19 44 38 11 50 28 16 11 58 96 49 98
[7,] 13 53 5 13 21 75 90 7 45 31 44 41
[8,] 64 59 51 22 21 63 62 1 55 80 87 62
[9,] 8 1 87 31 25 76 55 8 77 3 16 42
[10,] 34 43 34 51 30 100 70 35 21 4 22 47
[11,] 13 8 7 49 37 2 20 27 91 22 6 15
[12,] 24 1 50 70 9 39 66 64 58 36 28 26
[13,] 71 36 6 20 60 21 83 10 63 85 92 38
[14,] 31 79 93 49 43 98 11 48 49 7 13 21
[15,] 24 6 45 80 4 43 27 3 63 91 34 94
[16,] 99 23 11 1 52 86 73 54 70 67 68 58
[17,] 49 41 45 82 34 75 60 71 36 97 80 41
[18,] 64 82 22 18 96 16 24 31 2 59 3 91
[19,] 42 41 58 36 3 76 87 16 39 59 31 81
[20,] 87 63 7 24 41 72 100 23 5 47 9 45
[21,] 59 100 98 60 92 22 56 75 99 11 15 18
[22,] 75 41 86 100 26 32 18 13 38 32 14 56
[23,] 59 89 39 99 70 52 44 52 11 24 34 85
[24,] 71 76 3 47 50 64 98 77 45 68 75 74
[25,] 84 66 60 13 75 27 93 79 11 40 99 23
[26,] 16 9 33 81 47 37 61 33 75 30 75 51
[27,] 95 72 20 34 29 60 24 52 86 91 59 45
[28,] 4 24 98 83 84 91 87 29 1 72 66 99
[29,] 30 47 69 26 58 47 32 23 82 24 7 67
[30,] 99 89 36 66 7 97 40 61 74 4 85 36
[31,] 77 74 16 31 25 97 81 83 56 38 100 9
[32,] 35 78 76 5 38 94 88 23 67 98 79 100
[33,] 60 86 79 98 53 12 81 89 5 30 72 78
[34,] 19 12 7 85 77 71 27 74 1 31 21 98
[35,] 76 19 45 6 61 32 91 7 96 31 6 9
[36,] 43 7 14 15 27 6 19 58 11 92 7 6
[37,] 1 39 89 24 66 83 91 54 45 66 62 55
[38,] 84 30 19 49 77 11 95 22 87 100 18 35
[39,] 71 21 59 88 97 58 56 63 2 60 21 39
[40,] 55 92 39 77 60 3 38 88 6 45 79 41
[41,] 88 69 28 75 100 82 32 90 16 71 23 64
[42,] 29 79 78 88 75 29 32 47 1 67 14 69
[43,] 95 75 42 60 71 30 74 75 79 89 17 43
[44,] 97 83 42 38 11 40 47 71 60 49 34 67
[45,] 8 22 5 44 55 93 68 8 50 80 67 70
[46,] 1 13 63 90 33 56 5 93 55 70 39 3
[47,] 68 71 52 55 64 78 71 80 74 21 79 94
[48,] 24 47 43 3 34 55 52 18 22 50 2 80
[49,] 3 27 83 45 95 73 97 50 93 86 69 2
[50,] 10 100 67 30 30 50 75 74 36 54 31 16
[51,] 92 66 63 39 72 30 61 95 88 1 49 32
[52,] 80 20 84 1 58 79 75 99 47 11 40 44
[53,] 97 59 4 29 5 16 41 93 65 17 84 36
[54,] 1 19 88 22 45 99 10 60 69 23 91 36
[55,] 95 58 47 61 6 9 51 40 81 72 63 36
[56,] 90 7 81 2 93 92 74 70 91 6 91 86
[57,] 2 26 48 74 14 96 31 7 46 51 45 27
[58,] 69 48 43 69 51 59 40 6 68 90 39 21
[59,] 73 9 56 56 14 23 40 63 96 5 22 30
[60,] 78 11 45 33 12 2 98 46 93 51 79 34
[61,] 34 91 66 76 32 87 18 19 85 32 11 21
[62,] 40 42 37 54 55 30 31 56 70 46 7 43
[63,] 32 44 8 77 10 64 30 43 10 43 37 83
[64,] 23 64 74 20 41 13 4 85 61 68 24 6
[65,] 87 2 100 62 13 7 25 27 44 13 12 2
[66,] 18 25 39 31 35 96 39 85 82 58 72 34
[67,] 70 6 22 68 96 79 78 96 18 66 53 15
[68,] 62 8 93 15 95 13 31 30 90 41 56 51
[69,] 51 50 76 49 16 71 38 62 23 86 86 45
[70,] 97 3 90 82 20 88 87 93 95 16 69 50
[71,] 99 64 67 37 39 59 85 59 56 97 18 89
[72,] 5 56 68 66 52 81 42 8 50 95 92 82
[73,] 24 11 59 26 43 99 95 47 73 75 20 14
[74,] 9 88 32 98 60 47 37 30 83 27 96 28
[75,] 76 46 96 86 82 21 91 91 48 27 83 52
[76,] 54 66 74 3 49 75 45 50 66 97 13 77
[77,] 9 72 91 34 22 40 74 100 53 30 99 39
[78,] 8 64 72 94 85 51 77 68 45 35 9 75
[79,] 98 35 51 86 26 27 79 65 4 39 10 16
[80,] 41 51 89 69 84 46 16 91 91 21 26 12
[81,] 24 36 12 74 39 6 19 32 96 30 4 57
[82,] 26 95 88 7 2 89 33 72 62 58 92 13
[83,] 32 44 79 31 65 97 35 45 73 82 62 74
[84,] 44 65 75 45 12 41 46 84 56 63 76 86
[85,] 63 30 82 90 2 97 94 71 81 29 27 86
[86,] 28 36 40 59 13 38 5 58 55 18 51 15
[87,] 51 33 41 1 87 37 33 22 3 10 58 35
[88,] 28 50 96 40 15 93 97 28 12 47 40 33
[89,] 14 26 17 68 14 41 30 85 88 51 23 90
[90,] 60 64 65 38 90 36 5 3 8 32 25 25
[91,] 72 80 25 57 3 88 54 1 96 72 93 32
[92,] 95 61 34 67 68 31 83 96 4 97 54 71
[93,] 47 8 15 42 54 15 31 72 56 45 53 37
[94,] 79 32 67 48 63 65 22 23 49 69 100 37
[95,] 41 15 77 32 39 5 88 79 13 97 63 19
[96,] 16 35 60 46 13 92 84 27 28 22 44 37
[97,] 53 83 2 35 58 10 53 4 83 33 14 62
[98,] 62 72 7 66 71 44 85 6 69 36 98 90
[99,] 49 13 28 82 51 25 25 12 25 20 60 21
[,98] [,99] [,100]
[1,] 60 11 28
[2,] 41 30 14
[3,] 48 72 61
[4,] 85 56 49
[5,] 38 42 83
[6,] 100 30 38
[7,] 46 29 31
[8,] 10 91 83
[9,] 80 61 90
[10,] 67 44 18
[11,] 11 14 81
[12,] 20 20 88
[13,] 81 43 71
[14,] 95 75 60
[15,] 39 35 86
[16,] 3 91 36
[17,] 88 45 96
[18,] 89 63 100
[19,] 38 7 64
[20,] 40 71 3
[21,] 64 99 48
[22,] 73 41 95
[23,] 82 26 43
[24,] 33 2 83
[25,] 52 20 48
[26,] 51 39 37
[27,] 65 1 81
[28,] 84 8 63
[29,] 59 9 26
[30,] 78 60 25
[31,] 3 77 73
[32,] 35 41 42
[33,] 6 75 83
[34,] 66 37 60
[35,] 51 49 78
[36,] 78 68 19
[37,] 91 50 86
[38,] 97 60 19
[39,] 90 90 96
[40,] 84 37 81
[41,] 63 64 50
[42,] 47 16 44
[43,] 92 47 30
[44,] 55 74 28
[45,] 21 76 1
[46,] 30 5 73
[47,] 8 87 92
[48,] 99 17 75
[49,] 96 56 97
[50,] 74 7 71
[51,] 14 35 22
[52,] 27 7 19
[53,] 74 85 53
[54,] 38 75 63
[55,] 9 49 17
[56,] 15 90 57
[57,] 2 16 53
[58,] 21 50 80
[59,] 78 99 37
[60,] 89 87 63
[61,] 82 17 86
[62,] 12 51 54
[63,] 46 69 14
[64,] 35 17 54
[65,] 83 81 12
[66,] 14 63 75
[67,] 21 35 100
[68,] 25 22 73
[69,] 96 74 91
[70,] 45 44 42
[71,] 59 100 53
[72,] 5 29 55
[73,] 46 78 80
[74,] 36 7 52
[75,] 51 93 95
[76,] 89 92 95
[77,] 83 59 63
[78,] 51 93 16
[79,] 86 28 23
[80,] 45 78 79
[81,] 9 30 47
[82,] 46 23 92
[83,] 95 97 3
[84,] 86 18 90
[85,] 63 11 43
[86,] 71 76 20
[87,] 61 15 75
[88,] 19 9 55
[89,] 62 43 88
[90,] 37 28 87
[91,] 21 88 69
[92,] 81 28 58
[93,] 36 81 17
[94,] 95 80 44
[95,] 74 13 40
[96,] 43 83 49
[97,] 44 68 25
[98,] 23 15 65
[99,] 10 45 28
$P
[1] 0.65 0.60 1.00 0.95 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
[16] 0.85 0.75 1.00 1.00 0.85 1.00 1.00 1.00 1.00 1.00 1.00 0.90 0.95 0.55 1.00
[31] 1.00 1.00 1.00 1.00 1.00 1.00 0.95 1.00 0.80 1.00 1.00 1.00 0.70 0.80 1.00
[46] 1.00 1.00 0.70 1.00 0.85 1.00 1.00 1.00 0.90 0.55 1.00 1.00 1.00 1.00 1.00
[61] 1.00 0.65 1.00 0.90 1.00 0.75 0.60 1.00 1.00 0.45 1.00 0.85 0.95 1.00 0.60
[76] 1.00 0.85 0.85 1.00 0.95 1.00 1.00 0.65 0.80 0.80 1.00 1.00 1.00 1.00 0.60
[91] 1.00 0.95 1.00 1.00 1.00 1.00 1.00 1.00 0.65
plaqr documentation built on May 2, 2019, 3:32 p.m.
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
Description Usage Arguments Value Author(s) References Examples
Description
Returns the estimated transformation parameter for the one-parameter symmetric transformation (Geraci and Jones, 2015). Confidence intervals for the transformation parameter can also be created using the bootstrap. The response variable must be strictly positive; a constant can be added to the variable to ensure that all values are positive.
Usage
1 2 3 |
Arguments
formula |
a formula object, with the response on the left of a |
nonlinVars |
a one-sided formula object, with a |
tau |
the quantile to be estimated, this is a number strictly between 0 and 1 (for now). |
data |
a data.frame in which to interpret the variables named in the formula, or in the subset and the weights argument. If this is missing, then the variables in the formula should be on the search list. This may also be a single number to handle some special cases – see below for details. |
lambda |
a real-valued sequence of possible transformation parameters. 0 corresponds to the log transformation and 1 corresponds to the identity. The transformation is symmetric so a negative transformation parameter is redundant and can be avoided. See Geraci and Jones (2015) for more information on the one-parameter, symmetric transformation. |
confint |
a |
B |
the number of bootstrap replications for the confidence interval. If no confidence interval is being created, this argument is ignored. |
subset |
an optional vector specifying a subset of observations to be used in the fitting process. |
weights |
vector of observation weights; if supplied, the algorithm fits to minimize the sum of the weights multiplied into the absolute residuals. The length of weights must be the same as the number of observations. The weights must be nonnegative and it is strongly recommended that they be strictly positive, since zero weights are ambiguous. |
na.action |
a function to filter missing data.
This is applied to the model.frame after any subset argument has been used.
The default (with |
method |
the algorithmic method used to compute the fit. There are several
options: The default method is the modified version of the
Barrodale and Roberts algorithm for l1-regression,
used by |
contrasts |
a list giving contrasts for some or all of the factors
default = |
splinesettings |
a list of length equal to the number of nonlinear effects containing arguments to pass to the |
Value
Returns the following:
parameter |
The transformation parameter |
Y |
The values of the transformed response |
confint |
If a confidence interval is created, this is the confidence interval for the transformation parameter. Otherwise, |
U |
If a confidence interval is created, a |
P |
If a confidence interval is created, a |
Author(s)
Adam Maidman
References
Geraci, M. and Jones, M. (2015). Improved transformation-based quantile regression. Canadian Journal of Statistics 43, 118-132.
Maidman, A., Wang, L. (2017). New Semiparametric Method for Predicting High-Cost Patients. Preprint.
Examples
1 2 3 4 5 6 7 |
Example output
Loading required package: quantreg
Loading required package: SparseM
Attaching package: 'SparseM'
The following object is masked from 'package:base':
backsolve
Loading required package: splines
$parameter
[1] 0
$Y
-6.00414004 -0.62981298 11.17991665 8.10634589 13.62118440 -6.48979313
1.68314641 2.41759661 -2.67056685 3.93952281 0.06965395 1.05872154
-1.36784815 1.98457009 -3.87123402 1.08639804 -4.59193304 7.78601496
3.46639016 10.64906278 10.82237444 5.00654793 7.52541893 -4.62510296
6.69044497 0.38419368 -9.63732279 -2.65411679 -4.58544317 4.47903659
5.05133211 4.67376482 6.05740531 -1.74791325 -3.50864411 -4.76095866
-4.29910065 3.58502844 2.14688005 2.96135062 -4.31184739 -1.54539424
2.58154977 -3.92961616 5.70924385 5.32222762 4.43764641 1.33372846
2.19041689 8.82355918 7.88973860 -3.44993789 -0.35613383 5.96264266
-3.97763001 5.38913451 3.37097116 4.22997542 8.14327175 7.31667107
8.05811776 -1.68019335 6.03062785 11.28360654 6.29689448 5.45291172
-1.21389807 -3.19281473 9.97982138 -2.32987854 -2.42046405 -0.16484999
5.34860363 -2.59057868 2.67356682 5.40830226 -4.65730755 -0.63024157
-3.79200301 -4.38691775 -0.83296646 16.67238599 -0.55140393 1.82023768
-4.72674306 1.62288761 6.60608304 0.49475738 -7.04977608 5.95438314
2.19842614 -0.99444826 5.97097246 5.40876595 5.67653088 -1.55040495
4.33533753 0.40038255 1.42445929 1.34655782
$confint
NULL
$U
NULL
$P
NULL
$parameter
[1] 0
$Y
-6.00414004 -0.62981298 11.17991665 8.10634589 13.62118440 -6.48979313
1.68314641 2.41759661 -2.67056685 3.93952281 0.06965395 1.05872154
-1.36784815 1.98457009 -3.87123402 1.08639804 -4.59193304 7.78601496
3.46639016 10.64906278 10.82237444 5.00654793 7.52541893 -4.62510296
6.69044497 0.38419368 -9.63732279 -2.65411679 -4.58544317 4.47903659
5.05133211 4.67376482 6.05740531 -1.74791325 -3.50864411 -4.76095866
-4.29910065 3.58502844 2.14688005 2.96135062 -4.31184739 -1.54539424
2.58154977 -3.92961616 5.70924385 5.32222762 4.43764641 1.33372846
2.19041689 8.82355918 7.88973860 -3.44993789 -0.35613383 5.96264266
-3.97763001 5.38913451 3.37097116 4.22997542 8.14327175 7.31667107
8.05811776 -1.68019335 6.03062785 11.28360654 6.29689448 5.45291172
-1.21389807 -3.19281473 9.97982138 -2.32987854 -2.42046405 -0.16484999
5.34860363 -2.59057868 2.67356682 5.40830226 -4.65730755 -0.63024157
-3.79200301 -4.38691775 -0.83296646 16.67238599 -0.55140393 1.82023768
-4.72674306 1.62288761 6.60608304 0.49475738 -7.04977608 5.95438314
2.19842614 -0.99444826 5.97097246 5.40876595 5.67653088 -1.55040495
4.33533753 0.40038255 1.42445929 1.34655782
$confint
2.5% 97.5%
0.5725 1.0000
$U
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
[1,] 38 29 100 52 84 64 35 47 25 53 88 1 15
[2,] 51 7 14 70 75 91 68 2 75 78 81 18 32
[3,] 62 70 35 88 65 93 70 14 25 36 14 34 39
[4,] 51 77 34 38 70 2 91 16 86 37 10 17 67
[5,] 22 41 23 51 15 27 18 30 56 38 11 14 28
[6,] 70 81 36 60 3 47 9 61 95 26 99 53 44
[7,] 27 33 95 46 63 89 41 95 58 83 98 45 40
[8,] 25 69 88 8 71 6 53 5 60 62 92 49 63
[9,] 80 13 61 85 46 46 67 85 82 40 69 63 16
[10,] 68 14 100 61 74 65 20 2 19 27 91 32 39
[11,] 95 27 51 42 90 61 40 20 8 67 38 94 63
[12,] 61 27 61 97 52 55 42 21 56 41 85 41 27
[13,] 46 100 50 89 18 66 77 50 5 73 13 46 56
[14,] 38 81 97 36 19 10 11 45 94 42 47 68 54
[15,] 81 47 89 44 1 78 7 79 60 3 95 95 34
[16,] 94 83 9 45 69 47 28 88 3 29 4 66 40
[17,] 63 82 91 32 35 56 3 74 18 78 89 88 62
[18,] 66 91 18 21 67 8 94 14 95 13 95 67 83
[19,] 17 92 23 13 87 46 75 63 39 51 86 96 32
[20,] 39 34 96 22 43 47 47 13 40 35 68 58 21
[21,] 21 91 94 54 30 78 49 59 51 30 38 70 79
[22,] 40 17 63 78 6 92 6 28 37 21 64 16 5
[23,] 39 71 43 12 61 64 66 1 22 75 40 50 21
[24,] 86 90 64 2 87 6 27 52 23 20 80 46 93
[25,] 29 11 93 69 67 86 11 60 12 19 95 15 50
[26,] 76 99 50 94 52 34 100 72 56 57 81 19 61
[27,] 55 70 15 20 62 71 71 20 33 52 72 37 29
[28,] 63 81 28 93 70 59 13 32 40 52 26 16 23
[29,] 94 82 5 87 91 13 96 60 45 35 54 89 66
[30,] 24 90 40 100 40 62 26 75 78 53 36 2 32
[31,] 55 26 11 21 39 96 25 41 31 51 26 44 70
[32,] 38 65 65 53 54 62 56 31 91 70 68 52 56
[33,] 26 8 99 83 92 41 6 29 81 62 67 84 53
[34,] 97 55 44 72 25 68 55 27 12 53 12 100 35
[35,] 77 10 94 24 77 100 22 94 75 64 58 11 29
[36,] 90 63 48 40 55 99 63 89 33 71 41 4 100
[37,] 16 7 19 86 56 19 7 16 10 35 17 54 98
[38,] 48 19 74 38 38 3 82 18 36 17 70 94 100
[39,] 6 22 34 66 14 67 92 15 16 75 54 61 79
[40,] 54 13 91 27 36 67 18 21 98 66 45 97 23
[41,] 92 92 24 82 94 92 86 34 26 54 34 45 3
[42,] 28 36 98 97 72 28 13 15 67 43 95 32 44
[43,] 29 42 38 13 39 29 71 18 59 90 85 50 80
[44,] 77 69 37 95 3 19 70 90 49 100 47 24 47
[45,] 32 45 52 26 92 88 15 64 80 97 93 18 80
[46,] 32 3 80 85 6 1 100 44 31 31 32 41 70
[47,] 55 26 61 44 42 43 33 69 96 33 77 30 9
[48,] 65 96 23 52 90 97 4 36 2 88 8 15 15
[49,] 43 6 21 80 16 40 65 24 25 84 70 45 37
[50,] 17 29 29 88 13 5 8 32 80 36 88 33 52
[51,] 72 84 52 87 73 37 28 4 56 30 74 33 11
[52,] 56 32 40 87 27 9 96 33 79 90 84 93 84
[53,] 94 70 94 35 67 66 74 18 47 54 77 66 2
[54,] 79 7 47 95 45 26 99 63 7 17 59 43 4
[55,] 14 53 83 100 40 6 6 12 20 59 62 36 43
[56,] 4 45 80 80 7 55 10 30 82 92 73 55 57
[57,] 37 94 29 64 57 68 13 50 53 93 30 81 50
[58,] 57 49 10 68 44 91 84 98 63 61 46 70 47
[59,] 35 54 73 3 51 18 76 75 56 47 96 100 85
[60,] 89 40 78 42 45 84 32 89 92 60 19 23 68
[61,] 96 89 11 11 56 99 38 69 54 38 34 95 99
[62,] 44 77 75 46 73 18 22 4 44 88 85 42 99
[63,] 91 100 99 54 49 23 17 38 77 1 97 77 73
[64,] 58 70 64 21 76 82 33 65 80 24 91 61 50
[65,] 74 80 32 22 89 58 31 13 16 98 99 51 81
[66,] 38 32 27 74 18 33 94 85 83 63 63 33 9
[67,] 50 1 24 36 84 72 74 19 21 8 20 67 19
[68,] 74 24 82 38 63 7 39 99 4 67 51 11 64
[69,] 86 35 25 43 76 99 54 7 79 82 41 28 61
[70,] 69 18 30 5 33 67 72 72 35 6 80 57 18
[71,] 10 71 93 27 53 11 1 49 37 65 79 92 2
[72,] 39 61 16 96 8 88 53 64 37 64 76 33 92
[73,] 16 23 8 43 89 57 9 12 53 24 64 97 72
[74,] 39 56 9 100 46 94 45 44 88 13 65 88 37
[75,] 84 60 51 64 42 75 33 71 75 39 52 19 52
[76,] 37 45 73 100 9 2 66 82 88 83 86 92 11
[77,] 16 96 58 20 8 12 62 73 95 85 78 68 7
[78,] 30 17 82 36 17 27 77 57 73 52 44 59 88
[79,] 83 65 46 59 11 99 63 57 72 97 24 15 96
[80,] 19 90 66 42 53 63 70 28 67 80 61 29 68
[81,] 67 91 76 91 43 82 31 32 64 11 4 64 7
[82,] 6 49 28 48 57 17 5 49 92 69 42 59 73
[83,] 81 58 61 63 36 45 3 30 16 3 11 64 35
[84,] 49 14 43 70 43 14 10 4 17 32 97 65 47
[85,] 47 28 97 70 56 6 75 99 76 38 21 60 66
[86,] 8 24 78 22 12 22 13 53 90 69 93 13 29
[87,] 23 8 34 99 73 9 8 50 64 89 3 85 75
[88,] 62 6 69 31 83 88 25 42 61 51 24 100 14
[89,] 50 47 44 26 28 37 92 51 94 68 49 16 54
[90,] 52 11 53 25 81 3 35 29 4 79 84 98 88
[91,] 70 83 67 60 40 81 72 58 87 47 54 34 74
[92,] 4 16 99 48 6 14 84 16 71 63 84 10 24
[93,] 58 74 91 78 65 63 38 66 35 90 85 31 93
[94,] 39 29 30 26 36 99 94 52 7 80 47 97 49
[95,] 50 52 82 84 32 42 20 3 43 8 78 88 72
[96,] 12 21 78 3 96 6 71 91 1 32 85 48 97
[97,] 52 78 80 93 50 78 74 56 24 51 82 89 6
[98,] 25 25 34 76 39 95 95 92 16 17 65 1 20
[99,] 71 81 82 51 3 27 88 42 31 36 4 49 45
[,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
[1,] 42 6 26 52 96 33 86 90 94 11 26 63
[2,] 59 28 14 100 41 70 83 37 26 90 41 68
[3,] 92 15 31 88 48 55 80 48 79 19 73 59
[4,] 20 19 95 59 50 70 29 92 33 94 79 69
[5,] 39 31 23 24 9 18 92 50 34 20 51 96
[6,] 31 71 97 97 21 37 46 66 74 98 42 23
[7,] 26 75 98 38 53 40 84 14 95 79 73 48
[8,] 89 47 17 59 35 29 26 78 18 58 2 5
[9,] 46 39 10 58 59 49 67 70 76 4 68 43
[10,] 70 62 44 24 14 82 82 85 18 59 20 94
[11,] 30 88 57 88 18 60 22 26 37 91 73 47
[12,] 91 11 24 72 5 41 64 48 55 68 97 57
[13,] 54 56 75 66 3 46 53 98 36 84 18 28
[14,] 82 90 53 80 2 37 49 9 69 77 47 72
[15,] 12 65 82 42 52 1 58 38 26 53 83 72
[16,] 85 71 35 47 83 10 93 81 59 73 31 21
[17,] 68 56 33 40 23 40 48 58 29 57 8 97
[18,] 91 52 17 87 70 76 27 87 44 60 28 81
[19,] 38 85 33 93 62 34 48 2 34 48 80 8
[20,] 65 48 39 26 86 64 21 56 16 37 63 36
[21,] 24 85 81 56 56 76 32 21 31 58 37 38
[22,] 3 20 12 71 42 80 17 39 67 39 4 60
[23,] 29 69 97 52 13 63 31 2 31 16 19 98
[24,] 73 31 64 17 6 29 46 34 50 2 23 80
[25,] 41 49 30 23 52 20 75 2 6 70 10 90
[26,] 13 43 83 6 38 10 21 87 36 64 22 3
[27,] 77 9 76 94 65 50 60 61 32 65 48 19
[28,] 31 14 19 27 20 62 9 98 1 35 19 53
[29,] 23 73 14 14 38 40 70 94 91 12 79 89
[30,] 55 47 5 29 13 43 75 6 88 37 83 50
[31,] 56 28 74 21 68 25 83 40 22 4 96 74
[32,] 29 22 62 56 82 32 52 59 77 67 67 100
[33,] 12 68 36 44 94 55 17 21 29 25 63 14
[34,] 36 10 28 55 12 73 48 72 87 55 89 22
[35,] 31 38 75 1 62 88 61 72 35 58 63 93
[36,] 46 84 43 73 5 85 52 68 11 60 96 16
[37,] 83 23 74 95 60 87 87 46 12 57 89 18
[38,] 79 60 55 67 45 76 92 37 2 83 19 9
[39,] 89 5 91 96 47 11 18 5 56 95 9 66
[40,] 59 97 57 46 21 56 99 90 68 91 27 43
[41,] 5 86 44 43 88 2 5 71 28 50 79 18
[42,] 45 73 67 44 10 17 32 92 34 53 66 44
[43,] 34 26 50 13 96 26 50 6 88 27 50 40
[44,] 63 48 71 55 19 58 39 44 67 22 29 30
[45,] 54 26 13 59 74 40 73 8 59 88 94 30
[46,] 66 14 93 30 69 29 36 54 38 83 56 41
[47,] 65 59 53 5 7 86 25 97 49 15 39 97
[48,] 21 10 62 59 86 1 62 45 32 18 53 23
[49,] 81 30 43 49 57 40 17 62 98 6 84 84
[50,] 49 64 13 15 98 4 22 30 94 2 11 51
[51,] 100 88 51 36 37 40 4 63 77 55 66 50
[52,] 7 93 51 63 69 22 27 34 19 86 48 3
[53,] 41 98 39 14 33 68 62 73 71 85 75 71
[54,] 27 28 27 27 40 97 15 63 72 1 32 61
[55,] 60 94 26 66 2 10 96 15 50 74 32 40
[56,] 11 49 47 31 95 97 57 100 90 78 82 33
[57,] 87 5 8 19 88 43 26 86 95 3 33 81
[58,] 40 35 2 8 13 40 51 69 72 74 27 8
[59,] 97 17 98 38 91 27 8 20 96 62 31 38
[60,] 17 2 85 12 45 24 48 24 57 44 74 29
[61,] 40 97 64 19 90 68 68 36 22 43 40 90
[62,] 60 39 47 90 68 36 72 17 90 36 73 55
[63,] 63 61 85 94 48 3 59 93 94 41 87 12
[64,] 4 80 53 97 64 82 77 12 22 42 41 75
[65,] 30 82 86 57 33 44 38 43 33 88 11 79
[66,] 38 82 6 1 15 67 8 18 97 25 81 58
[67,] 41 59 47 22 28 3 76 37 79 96 15 21
[68,] 16 25 20 9 24 47 32 72 53 20 17 96
[69,] 9 82 58 66 60 74 91 2 62 9 79 10
[70,] 8 23 48 12 23 95 58 59 10 91 74 84
[71,] 62 21 49 18 51 11 30 74 51 26 65 21
[72,] 15 100 90 22 55 97 26 19 75 91 33 39
[73,] 42 10 37 80 12 33 1 62 77 29 39 99
[74,] 83 94 61 1 85 40 95 56 23 2 29 88
[75,] 37 26 93 36 40 11 20 25 40 99 7 69
[76,] 70 53 20 97 27 94 83 84 35 8 31 77
[77,] 64 30 49 96 79 95 45 45 53 64 94 42
[78,] 73 37 63 89 82 98 42 70 26 50 11 21
[79,] 37 20 94 26 86 37 70 6 75 97 52 2
[80,] 85 4 30 73 46 23 11 53 29 30 61 48
[81,] 61 53 16 55 8 15 51 9 9 31 73 57
[82,] 82 25 16 23 67 12 7 42 61 49 29 47
[83,] 54 96 71 62 50 79 1 26 50 45 5 78
[84,] 54 86 82 6 89 36 64 19 29 4 17 36
[85,] 69 77 71 43 73 72 85 81 83 78 28 16
[86,] 4 54 1 37 21 42 52 80 88 91 29 80
[87,] 88 59 65 93 13 30 65 99 98 38 89 62
[88,] 26 100 73 11 88 77 22 37 4 82 25 76
[89,] 62 19 13 56 54 45 71 9 71 38 73 85
[90,] 40 13 69 62 96 80 32 83 23 33 43 34
[91,] 8 91 27 92 7 33 33 21 27 41 38 43
[92,] 48 7 58 88 43 12 50 43 90 88 68 61
[93,] 70 25 79 69 63 70 28 63 90 99 66 10
[94,] 83 69 96 59 94 86 72 28 62 67 80 95
[95,] 31 92 21 95 99 43 23 81 57 16 56 19
[96,] 93 43 14 68 13 85 17 83 45 79 7 15
[97,] 83 15 3 2 24 12 55 90 55 97 20 81
[98,] 2 65 90 80 62 6 43 54 67 1 100 31
[99,] 69 34 34 29 64 87 82 85 60 4 83 26
[,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
[1,] 11 85 21 58 67 70 52 99 44 98 39 57
[2,] 72 1 92 88 22 54 42 73 85 13 90 43
[3,] 80 7 34 16 73 16 6 99 23 22 69 22
[4,] 50 7 86 32 100 50 44 94 7 21 55 8
[5,] 98 8 37 45 45 57 3 48 71 93 91 53
[6,] 5 47 18 17 67 14 63 45 10 34 8 79
[7,] 94 75 37 4 77 92 49 7 26 93 65 90
[8,] 100 38 46 41 17 56 91 21 91 89 78 46
[9,] 5 74 83 13 23 9 72 18 39 6 93 40
[10,] 67 81 27 79 71 60 59 25 27 21 60 99
[11,] 18 90 82 83 83 59 79 62 60 55 44 51
[12,] 68 43 63 44 96 57 61 8 100 18 44 89
[13,] 64 21 46 17 52 7 80 32 56 60 48 60
[14,] 24 56 9 77 71 10 52 29 87 51 27 25
[15,] 66 53 95 81 87 77 62 97 88 73 47 31
[16,] 76 53 98 67 94 80 31 26 62 13 35 25
[17,] 99 24 45 90 4 92 78 19 98 68 94 96
[18,] 18 18 21 44 56 97 7 69 53 24 63 48
[19,] 24 59 36 49 59 33 34 13 64 51 98 38
[20,] 59 13 84 24 36 68 77 49 10 16 46 74
[21,] 79 1 70 86 85 34 17 66 54 71 69 38
[22,] 34 88 7 28 47 4 80 66 83 97 39 87
[23,] 76 23 7 82 48 100 11 5 51 71 40 15
[24,] 36 11 88 10 16 38 28 12 20 60 99 2
[25,] 18 82 48 27 45 83 74 47 24 76 100 53
[26,] 47 50 79 95 20 60 7 52 25 72 37 75
[27,] 40 99 50 85 14 82 68 55 98 58 44 87
[28,] 59 100 13 100 11 37 11 21 4 70 43 24
[29,] 73 51 100 33 10 69 41 97 80 79 90 71
[30,] 73 56 76 94 44 18 10 98 55 94 75 47
[31,] 13 90 9 53 5 13 39 51 30 17 58 30
[32,] 88 7 98 23 92 52 18 96 30 39 20 12
[33,] 39 12 46 56 86 87 49 100 22 4 99 97
[34,] 18 82 95 20 46 60 8 4 40 35 32 24
[35,] 23 64 66 26 36 13 30 39 21 3 49 49
[36,] 61 58 20 76 88 90 91 59 80 28 12 16
[37,] 15 25 10 87 18 9 97 29 66 83 46 73
[38,] 87 14 66 20 68 31 48 12 43 81 49 55
[39,] 26 97 88 100 27 49 53 71 69 79 74 46
[40,] 96 61 98 63 19 29 34 73 29 45 31 11
[41,] 35 49 88 37 12 71 68 5 34 34 57 36
[42,] 45 8 66 94 5 85 42 34 3 83 75 34
[43,] 54 96 42 30 69 35 55 53 63 89 73 20
[44,] 30 78 2 57 37 69 61 53 76 35 86 26
[45,] 65 38 28 89 80 74 94 33 44 76 65 33
[46,] 97 81 43 60 71 44 53 61 84 38 12 84
[47,] 22 9 8 33 92 94 7 74 62 32 87 12
[48,] 9 46 59 85 1 13 95 81 60 29 31 56
[49,] 49 78 28 81 11 32 49 15 71 91 63 32
[50,] 82 11 39 1 96 48 90 97 72 92 94 72
[51,] 12 93 24 69 79 43 13 18 36 42 89 65
[52,] 4 89 79 38 94 10 19 70 54 71 92 34
[53,] 76 41 69 31 4 14 99 43 57 13 82 76
[54,] 92 38 74 94 34 83 83 76 68 25 69 9
[55,] 92 31 82 22 21 35 38 19 50 88 78 92
[56,] 21 98 73 36 15 13 72 14 83 18 72 88
[57,] 94 85 66 21 41 33 87 46 85 94 57 70
[58,] 81 80 97 82 11 19 2 17 26 63 27 47
[59,] 86 34 27 65 61 47 71 24 39 34 42 59
[60,] 53 14 10 77 20 66 76 22 94 7 22 81
[61,] 41 79 1 90 10 72 1 92 18 1 79 32
[62,] 17 30 20 10 73 21 66 4 6 75 72 65
[63,] 94 78 58 69 67 90 71 27 95 68 4 68
[64,] 21 63 44 46 47 8 77 70 12 10 93 6
[65,] 95 95 87 86 22 52 72 25 38 27 68 77
[66,] 76 64 46 86 4 28 54 47 26 33 49 36
[67,] 20 14 89 21 24 26 55 37 26 16 63 25
[68,] 1 67 14 95 67 18 16 88 64 66 19 97
[69,] 9 87 35 87 36 63 75 11 31 12 42 38
[70,] 25 32 73 38 29 5 89 1 39 53 25 47
[71,] 41 38 62 6 28 54 39 36 7 54 2 19
[72,] 38 8 18 75 42 9 91 13 15 55 11 18
[73,] 33 51 57 38 66 33 58 7 30 96 28 38
[74,] 72 40 95 27 11 16 77 88 46 90 34 88
[75,] 9 24 67 100 39 97 44 64 60 57 93 31
[76,] 42 16 3 61 57 52 73 57 16 14 18 88
[77,] 62 75 76 42 45 33 98 68 70 8 98 66
[78,] 47 20 65 45 46 26 72 42 46 40 95 60
[79,] 5 86 14 8 2 47 93 39 70 85 86 59
[80,] 62 91 53 25 95 58 51 1 47 77 26 6
[81,] 55 6 80 40 61 40 97 46 46 64 31 24
[82,] 13 48 76 17 3 57 81 96 36 42 38 52
[83,] 9 80 28 21 9 46 7 24 59 32 52 9
[84,] 47 14 51 86 44 69 55 37 31 36 91 85
[85,] 19 44 36 8 90 42 19 66 1 13 67 94
[86,] 9 44 12 78 36 7 88 23 88 42 14 10
[87,] 14 39 5 57 33 21 4 78 28 31 73 98
[88,] 89 17 67 60 5 26 67 93 7 90 60 56
[89,] 81 67 69 1 87 94 64 24 75 11 69 91
[90,] 26 29 38 14 26 5 14 59 8 73 69 31
[91,] 41 51 71 96 57 90 30 84 28 32 2 73
[92,] 75 37 35 80 92 77 70 70 98 59 83 23
[93,] 67 7 86 43 63 19 75 30 47 11 94 82
[94,] 75 64 19 51 13 81 27 47 13 5 9 53
[95,] 21 85 5 55 1 61 88 16 13 30 7 95
[96,] 17 81 91 11 34 31 97 46 16 92 61 99
[97,] 18 6 41 67 92 63 60 28 9 76 57 58
[98,] 84 64 2 89 8 75 28 29 34 76 78 52
[99,] 10 88 47 34 2 86 37 66 2 45 25 70
[,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
[1,] 29 24 94 98 41 83 12 62 43 32 26 68
[2,] 34 78 4 93 27 27 83 3 29 54 26 67
[3,] 77 45 2 8 94 10 42 79 17 55 96 15
[4,] 33 36 25 57 96 50 35 10 59 92 39 12
[5,] 24 4 80 45 66 51 37 54 26 47 93 68
[6,] 79 16 37 27 79 33 65 17 86 18 70 95
[7,] 41 81 4 12 76 37 65 20 15 15 38 12
[8,] 33 30 79 64 93 83 31 10 63 25 47 23
[9,] 52 80 71 15 75 16 82 49 47 97 24 29
[10,] 99 48 76 76 36 12 38 58 6 46 82 37
[11,] 14 35 95 2 8 9 31 90 21 98 86 28
[12,] 12 14 74 5 19 59 43 45 80 97 4 70
[13,] 65 98 76 74 62 96 92 13 91 48 73 3
[14,] 81 36 4 59 75 22 82 11 87 11 38 37
[15,] 77 87 96 89 72 55 91 86 63 90 21 21
[16,] 40 31 55 77 93 26 67 61 40 18 70 42
[17,] 52 16 11 22 42 9 56 56 65 75 12 90
[18,] 85 98 86 62 99 29 16 68 87 98 7 17
[19,] 69 54 77 43 7 75 51 9 52 21 76 50
[20,] 88 80 68 49 31 7 85 58 63 67 32 42
[21,] 63 86 55 41 14 5 86 30 75 31 79 50
[22,] 68 41 55 64 43 76 84 55 52 40 91 17
[23,] 87 74 86 23 68 62 11 8 3 51 7 11
[24,] 25 36 23 94 18 34 97 91 50 5 27 58
[25,] 60 92 93 17 59 9 32 93 95 81 35 5
[26,] 15 28 63 43 76 70 74 100 62 75 39 18
[27,] 97 37 52 79 64 50 36 42 78 21 43 92
[28,] 12 31 1 72 64 14 64 98 29 72 30 30
[29,] 8 42 99 27 9 27 65 78 16 83 17 30
[30,] 3 63 64 73 28 23 11 97 6 25 18 38
[31,] 30 13 7 87 42 90 96 67 30 97 41 9
[32,] 53 82 47 24 17 39 48 59 20 44 14 12
[33,] 91 77 25 88 28 21 39 9 54 93 61 76
[34,] 97 45 20 25 18 15 22 28 41 14 22 8
[35,] 39 8 46 74 29 75 31 32 5 95 54 15
[36,] 17 70 73 7 63 11 99 32 23 78 45 93
[37,] 57 65 91 74 6 71 83 58 63 97 5 52
[38,] 82 36 75 60 9 74 99 19 69 55 30 5
[39,] 24 11 46 30 6 47 24 32 26 50 90 99
[40,] 1 86 74 3 18 96 96 9 53 39 48 13
[41,] 49 100 2 31 51 22 36 84 94 23 10 34
[42,] 43 68 75 96 69 15 83 70 23 5 41 30
[43,] 99 85 69 32 93 15 89 97 11 22 42 13
[44,] 89 42 78 98 50 10 2 77 88 73 75 43
[45,] 25 97 50 75 4 62 28 94 34 99 35 55
[46,] 69 38 38 21 74 22 67 85 94 52 45 100
[47,] 73 51 95 11 65 84 31 9 40 76 72 50
[48,] 43 37 87 72 73 71 9 44 58 60 76 18
[49,] 77 81 24 79 54 98 97 81 70 46 66 19
[50,] 54 68 59 5 40 84 20 50 39 2 98 15
[51,] 21 72 41 92 71 56 46 74 12 43 29 91
[52,] 12 10 1 40 75 74 44 99 30 6 10 94
[53,] 50 81 34 28 5 47 80 97 60 10 96 75
[54,] 71 100 49 49 60 82 56 51 63 41 86 71
[55,] 69 66 30 21 99 61 73 70 61 5 41 2
[56,] 78 53 98 76 42 64 3 27 53 67 64 83
[57,] 84 46 24 14 36 57 65 41 22 33 22 9
[58,] 40 61 84 45 7 31 93 81 64 92 71 97
[59,] 84 83 74 46 23 44 80 80 71 21 79 58
[60,] 52 50 48 35 86 43 3 48 74 89 23 63
[61,] 79 98 60 98 83 82 34 68 5 55 94 78
[62,] 78 67 48 14 51 59 84 17 65 80 10 94
[63,] 41 49 68 51 86 77 16 73 56 21 45 92
[64,] 42 6 18 64 32 82 63 52 24 42 94 20
[65,] 70 13 44 66 60 64 100 88 43 13 22 92
[66,] 75 30 25 92 46 20 70 61 81 93 74 29
[67,] 24 16 92 85 28 43 12 60 30 55 11 97
[68,] 57 89 43 74 46 29 21 23 53 75 54 24
[69,] 73 20 40 77 1 54 100 2 67 43 100 49
[70,] 71 43 43 98 95 17 85 67 12 31 47 51
[71,] 33 73 85 96 7 18 57 57 60 56 85 67
[72,] 81 73 86 48 14 35 14 68 84 5 59 45
[73,] 43 61 81 79 51 14 79 56 41 100 87 70
[74,] 85 34 3 50 70 11 19 8 28 61 52 43
[75,] 28 13 43 32 88 50 9 6 3 43 69 44
[76,] 36 83 14 61 24 43 41 17 64 62 32 13
[77,] 96 2 46 17 97 44 83 26 40 12 48 72
[78,] 94 77 65 93 21 79 70 69 18 75 29 59
[79,] 62 22 6 94 91 78 57 68 65 33 89 10
[80,] 21 9 13 25 84 22 40 34 10 31 23 82
[81,] 7 48 36 12 80 32 93 54 98 46 29 17
[82,] 2 71 76 82 100 54 82 57 88 34 99 19
[83,] 21 43 93 33 19 8 5 83 4 27 29 54
[84,] 96 90 44 5 28 78 67 76 71 10 98 57
[85,] 55 55 99 8 93 60 96 32 30 54 1 16
[86,] 24 36 69 65 18 56 51 78 80 39 78 35
[87,] 9 1 67 56 41 1 61 86 4 18 29 87
[88,] 94 42 5 56 93 4 74 62 98 37 94 77
[89,] 50 72 76 95 57 28 87 64 89 12 30 68
[90,] 55 6 26 35 16 37 27 83 40 91 29 79
[91,] 27 57 38 96 65 67 54 20 24 82 30 95
[92,] 50 67 57 38 77 77 81 100 87 8 12 93
[93,] 13 15 14 96 94 61 83 48 78 6 69 32
[94,] 35 66 14 68 98 38 49 85 16 26 88 12
[95,] 89 58 53 31 20 87 17 7 25 15 60 18
[96,] 64 20 48 24 70 46 88 76 38 74 79 57
[97,] 96 63 78 39 27 39 61 72 47 74 69 57
[98,] 22 16 24 2 30 52 48 3 43 46 88 98
[99,] 13 21 72 61 70 6 31 47 12 99 74 72
[,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
[1,] 9 47 67 6 51 38 20 76 95 75 22 92
[2,] 41 25 90 14 91 58 11 73 31 99 22 99
[3,] 78 65 64 80 13 93 98 63 55 18 89 63
[4,] 87 10 100 52 82 40 3 75 61 93 71 56
[5,] 30 34 68 1 8 19 4 36 69 73 38 41
[6,] 61 50 65 14 83 42 5 93 26 63 99 18
[7,] 47 58 72 59 99 85 60 94 73 86 25 35
[8,] 80 83 41 74 93 52 46 73 18 8 84 95
[9,] 36 82 69 46 9 71 6 42 79 62 35 42
[10,] 56 4 39 83 76 5 77 20 94 79 12 12
[11,] 20 21 53 11 10 10 26 3 8 33 66 59
[12,] 38 37 77 66 23 97 100 96 9 41 72 62
[13,] 86 8 72 73 57 56 53 3 89 12 70 47
[14,] 58 75 30 78 45 67 76 26 51 78 78 72
[15,] 70 94 12 95 93 33 45 22 17 98 39 58
[16,] 77 11 31 16 50 81 36 75 65 89 41 29
[17,] 41 17 35 80 23 80 59 39 69 63 6 24
[18,] 77 91 21 94 2 23 34 36 84 42 65 97
[19,] 78 69 45 40 27 23 32 22 46 17 26 9
[20,] 18 83 74 93 50 100 100 36 27 13 13 89
[21,] 47 2 17 34 36 33 89 50 4 94 18 43
[22,] 87 2 11 3 61 72 99 84 87 87 64 60
[23,] 33 29 49 84 61 61 76 77 45 81 100 98
[24,] 30 56 42 75 15 59 46 47 48 19 4 82
[25,] 91 68 59 42 52 80 58 71 29 5 80 28
[26,] 46 70 34 61 93 95 69 16 87 10 32 65
[27,] 13 23 79 44 50 63 89 11 90 1 4 77
[28,] 54 89 14 92 23 21 49 41 84 46 69 62
[29,] 83 4 63 22 13 33 79 93 20 4 87 71
[30,] 21 83 15 57 7 88 36 54 81 21 96 14
[31,] 90 25 90 54 9 40 99 40 41 58 84 75
[32,] 13 86 27 69 44 17 65 90 48 33 65 22
[33,] 46 99 93 68 71 73 61 9 65 19 36 5
[34,] 53 69 88 7 95 55 67 97 34 32 28 80
[35,] 25 8 19 1 78 54 68 12 92 16 35 94
[36,] 88 5 82 48 85 71 18 67 49 35 50 67
[37,] 28 60 75 83 23 74 94 77 12 69 31 2
[38,] 65 84 81 10 44 38 66 39 65 67 55 79
[39,] 56 77 22 78 61 80 24 40 46 79 72 99
[40,] 53 98 61 24 45 77 95 93 55 81 48 97
[41,] 56 1 34 7 41 33 80 66 59 71 10 35
[42,] 33 43 53 57 21 73 22 67 90 78 10 32
[43,] 69 35 60 44 59 99 64 26 89 32 64 49
[44,] 63 86 60 60 14 52 98 44 84 82 65 77
[45,] 5 95 37 91 4 7 92 26 67 89 33 70
[46,] 60 40 11 40 6 45 95 42 81 78 16 77
[47,] 54 71 92 96 44 78 83 16 61 23 92 1
[48,] 77 59 8 94 69 27 17 68 20 31 51 54
[49,] 50 1 95 93 85 87 46 34 98 79 39 72
[50,] 74 98 5 56 8 22 41 4 1 100 60 60
[51,] 53 28 57 70 84 94 46 52 64 99 43 79
[52,] 5 85 59 73 3 39 10 55 19 60 62 33
[53,] 4 96 35 31 31 57 1 49 89 100 39 19
[54,] 17 84 57 97 60 78 80 48 24 92 30 74
[55,] 5 54 51 33 2 34 34 49 50 8 34 80
[56,] 23 93 5 12 74 28 94 53 8 23 75 93
[57,] 63 37 73 31 98 62 68 79 78 91 8 97
[58,] 96 67 59 28 50 22 75 1 72 74 29 81
[59,] 15 3 30 3 41 83 62 54 52 48 5 20
[60,] 41 36 65 9 26 20 15 76 49 27 95 100
[61,] 18 16 18 89 84 47 21 68 9 93 100 88
[62,] 4 86 27 13 10 2 74 15 97 63 97 41
[63,] 33 98 16 73 70 92 27 41 71 16 26 70
[64,] 64 97 16 62 55 99 98 9 90 70 73 73
[65,] 22 54 97 77 31 30 31 53 56 29 34 10
[66,] 75 53 32 1 49 56 16 89 92 28 30 93
[67,] 99 38 66 53 53 57 77 16 49 29 18 84
[68,] 37 1 27 73 30 46 59 51 46 75 55 63
[69,] 42 51 56 13 88 96 67 52 12 15 35 90
[70,] 42 95 83 67 21 9 8 64 31 20 20 17
[71,] 36 46 64 17 29 29 73 97 58 49 83 60
[72,] 33 16 56 61 38 93 28 33 96 47 67 54
[73,] 13 34 67 12 13 7 18 41 15 67 9 5
[74,] 53 67 24 16 30 89 52 41 54 5 8 97
[75,] 63 16 71 72 76 42 30 54 4 60 8 67
[76,] 24 30 89 25 43 63 51 87 98 44 46 77
[77,] 57 49 58 29 54 40 76 27 51 15 90 34
[78,] 53 98 36 34 91 91 65 41 46 26 37 85
[79,] 60 22 43 44 53 46 90 44 78 5 92 40
[80,] 34 15 100 93 55 1 71 82 72 35 93 84
[81,] 99 83 64 54 47 51 97 74 39 40 20 49
[82,] 67 85 3 85 96 90 73 11 33 50 96 100
[83,] 17 87 12 97 29 53 37 7 35 60 79 69
[84,] 56 97 23 52 6 12 30 14 87 96 94 36
[85,] 81 97 64 18 2 12 82 38 8 15 74 67
[86,] 7 66 50 1 78 4 5 73 79 46 16 92
[87,] 54 70 12 96 36 95 47 18 85 52 79 86
[88,] 98 99 71 40 28 33 27 16 4 5 35 19
[89,] 61 21 61 68 67 18 60 36 73 76 27 49
[90,] 85 77 61 24 39 11 67 71 91 66 39 7
[91,] 65 61 45 38 87 1 16 60 68 9 55 25
[92,] 48 77 35 4 42 66 18 81 9 62 12 6
[93,] 97 8 3 45 97 51 91 70 19 10 16 2
[94,] 82 29 6 98 65 64 92 53 52 3 30 59
[95,] 3 92 94 4 51 47 91 39 10 93 6 87
[96,] 47 94 82 97 19 48 59 92 15 39 70 76
[97,] 52 8 87 78 48 33 55 37 29 34 5 98
[98,] 48 12 62 24 97 88 45 31 75 33 34 93
[99,] 64 73 72 21 59 61 14 87 5 33 70 52
[,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
[1,] 53 99 81 56 6 61 49 85 32 20 22 52
[2,] 51 86 100 5 15 37 93 54 60 22 81 100
[3,] 15 38 40 92 54 59 27 20 41 69 40 18
[4,] 4 26 24 48 20 23 50 8 62 72 19 100
[5,] 29 79 97 59 48 31 47 52 23 80 10 29
[6,] 71 62 72 67 47 44 7 65 94 61 52 100
[7,] 79 6 30 67 78 18 59 5 91 95 44 34
[8,] 33 27 88 37 76 96 90 14 81 16 60 95
[9,] 84 8 18 46 67 69 99 1 98 14 57 65
[10,] 71 6 38 49 25 7 62 45 27 85 92 88
[11,] 60 43 1 81 73 100 27 23 90 27 88 15
[12,] 8 63 35 76 54 2 46 83 96 55 12 54
[13,] 80 91 95 49 95 36 60 38 44 34 36 17
[14,] 74 11 63 99 25 88 31 48 95 39 90 1
[15,] 47 18 19 91 100 77 20 24 76 12 1 22
[16,] 82 13 65 84 20 45 86 98 49 23 60 95
[17,] 83 65 5 60 87 77 54 23 88 9 7 26
[18,] 62 6 1 91 22 57 13 54 31 5 66 45
[19,] 73 61 22 10 78 47 44 62 15 11 94 13
[20,] 67 66 79 33 80 26 39 41 76 42 32 9
[21,] 82 15 75 35 98 68 45 94 69 37 57 95
[22,] 50 14 28 80 30 5 84 48 55 82 12 97
[23,] 19 15 54 45 63 93 71 9 26 16 32 7
[24,] 66 50 17 12 63 36 46 41 64 99 65 53
[25,] 51 7 88 49 25 1 77 9 74 77 48 4
[26,] 37 98 61 97 17 34 31 64 24 98 96 80
[27,] 85 3 62 15 98 32 88 31 98 56 78 12
[28,] 27 89 87 71 4 80 15 29 26 78 30 84
[29,] 77 60 59 29 84 43 28 40 91 19 8 17
[30,] 43 65 98 78 74 1 1 60 13 5 40 78
[31,] 98 79 19 27 44 80 70 30 53 70 2 76
[32,] 69 52 87 10 82 27 37 3 47 69 47 48
[33,] 54 100 17 13 98 26 90 78 5 12 27 46
[34,] 16 6 15 64 42 70 7 5 2 17 36 77
[35,] 39 95 58 73 9 91 60 88 12 9 62 66
[36,] 24 41 22 23 4 67 28 1 38 19 58 70
[37,] 87 24 23 28 89 75 75 11 74 40 9 28
[38,] 35 49 1 57 26 4 21 62 2 9 97 68
[39,] 45 61 89 80 90 16 79 36 72 45 27 14
[40,] 15 33 27 61 86 88 20 40 87 84 43 85
[41,] 43 38 68 6 74 100 93 87 91 24 32 11
[42,] 83 42 12 67 7 60 65 31 89 56 17 87
[43,] 98 43 20 55 64 31 99 95 29 16 99 64
[44,] 55 1 13 54 63 46 15 32 67 28 31 82
[45,] 48 64 44 40 98 86 75 1 89 86 94 81
[46,] 2 80 47 13 25 83 37 47 6 3 74 56
[47,] 62 47 9 18 52 36 77 44 18 84 98 38
[48,] 89 7 16 7 61 93 9 69 60 87 37 83
[49,] 74 86 36 78 24 97 71 80 64 19 38 15
[50,] 55 79 43 82 12 69 25 77 65 44 24 52
[51,] 58 43 15 39 74 93 65 54 65 31 77 100
[52,] 75 35 84 42 80 39 53 81 40 13 43 96
[53,] 77 7 54 14 65 37 91 61 68 42 10 41
[54,] 10 31 41 25 85 60 23 3 84 70 2 75
[55,] 93 90 85 66 92 64 83 8 49 66 54 27
[56,] 64 58 85 42 50 5 44 73 44 71 33 63
[57,] 57 16 48 77 20 27 2 45 72 25 89 27
[58,] 94 7 49 31 51 88 41 14 69 25 7 58
[59,] 38 59 96 75 77 84 1 80 7 91 28 66
[60,] 44 25 8 84 34 94 60 47 98 70 18 11
[61,] 14 78 54 39 5 25 91 44 91 98 73 77
[62,] 41 93 32 86 26 15 31 30 66 60 56 26
[63,] 1 18 66 66 48 51 52 64 30 85 75 24
[64,] 74 42 63 60 49 46 18 19 59 98 41 52
[65,] 9 12 97 87 68 67 32 57 90 36 99 70
[66,] 24 89 70 72 17 74 99 77 70 47 11 49
[67,] 50 43 9 41 88 92 38 3 84 86 48 64
[68,] 93 89 96 58 78 17 8 24 28 29 15 94
[69,] 87 66 21 93 16 27 62 92 12 58 91 98
[70,] 53 15 19 71 91 89 51 82 82 98 33 73
[71,] 37 40 78 20 31 77 30 99 64 38 62 76
[72,] 33 41 71 85 66 78 100 93 77 93 92 77
[73,] 17 53 13 90 40 56 1 33 39 38 60 84
[74,] 6 38 93 58 93 81 25 4 67 47 32 86
[75,] 6 68 46 70 65 96 93 20 26 14 97 43
[76,] 99 78 54 38 87 88 2 55 39 63 30 80
[77,] 82 22 25 80 87 32 87 24 9 48 62 52
[78,] 82 26 82 94 34 50 54 77 100 17 40 2
[79,] 18 12 15 36 84 54 48 78 51 2 68 30
[80,] 23 36 82 59 61 3 90 6 97 2 84 55
[81,] 62 71 66 51 28 47 56 48 35 72 47 23
[82,] 64 39 12 43 38 45 92 1 88 24 49 28
[83,] 39 64 18 34 39 86 10 83 64 45 95 83
[84,] 30 7 97 97 30 16 17 56 56 75 3 60
[85,] 91 27 53 62 54 50 3 59 24 94 56 17
[86,] 41 36 69 49 5 10 84 83 32 45 98 67
[87,] 61 34 41 34 33 67 48 24 20 45 77 97
[88,] 21 76 71 35 68 3 54 80 60 46 19 97
[89,] 6 82 85 94 99 34 50 88 22 89 64 25
[90,] 45 7 77 27 85 41 73 61 24 54 9 43
[91,] 19 99 33 22 47 79 26 87 25 72 49 49
[92,] 53 85 14 33 17 94 34 56 17 2 36 96
[93,] 42 64 38 4 12 92 76 2 26 39 76 35
[94,] 85 70 60 19 100 19 52 48 51 27 51 46
[95,] 45 79 79 73 6 5 9 13 71 84 19 100
[96,] 10 54 16 94 15 6 38 49 83 37 30 43
[97,] 52 36 73 53 5 72 70 40 6 88 100 22
[98,] 1 46 34 21 39 81 41 99 46 91 51 34
[99,] 98 60 11 11 39 26 51 73 34 17 34 94
[,74] [,75] [,76] [,77] [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85]
[1,] 79 42 44 87 41 33 81 47 87 72 93 93
[2,] 65 25 78 52 9 10 3 74 97 47 6 15
[3,] 19 1 15 90 23 12 70 89 42 21 76 81
[4,] 19 49 88 33 56 48 62 86 55 13 83 59
[5,] 86 74 12 69 90 93 7 54 95 12 42 71
[6,] 69 52 98 16 64 66 10 87 79 100 50 74
[7,] 21 14 33 25 46 95 5 60 42 67 58 18
[8,] 20 13 5 12 37 81 95 39 48 27 67 36
[9,] 41 50 89 60 57 41 13 90 15 14 99 77
[10,] 41 97 10 5 75 94 47 93 54 90 13 82
[11,] 38 28 74 66 91 57 45 70 81 2 20 11
[12,] 4 32 2 8 4 26 16 94 89 100 84 64
[13,] 20 10 11 17 81 37 40 43 73 33 95 51
[14,] 58 19 28 48 55 31 53 48 90 32 22 51
[15,] 6 98 6 56 19 17 93 78 2 66 36 53
[16,] 12 89 47 31 60 78 34 99 58 1 8 76
[17,] 30 25 78 44 36 16 42 29 38 59 63 79
[18,] 61 23 49 95 94 95 73 44 45 68 98 29
[19,] 82 47 72 98 59 50 90 83 65 55 95 9
[20,] 84 73 77 72 81 28 2 89 13 77 3 19
[21,] 52 26 82 45 60 82 30 44 1 99 88 20
[22,] 94 30 13 37 81 12 73 86 86 60 79 36
[23,] 85 27 92 46 4 32 92 32 60 60 17 15
[24,] 42 27 11 15 78 17 31 87 22 49 44 70
[25,] 37 6 61 96 53 48 68 17 100 82 73 22
[26,] 86 98 58 55 94 69 1 56 19 29 63 55
[27,] 90 39 24 88 72 13 100 79 47 47 97 25
[28,] 39 72 31 35 74 73 62 23 52 81 64 100
[29,] 50 72 71 84 56 92 4 74 88 80 60 12
[30,] 2 14 43 54 89 1 22 88 52 45 39 98
[31,] 78 57 87 4 71 13 30 28 100 5 97 53
[32,] 67 6 7 79 62 98 73 11 39 68 47 15
[33,] 45 87 9 6 71 73 68 34 80 31 61 18
[34,] 29 56 85 20 97 85 7 79 37 29 61 79
[35,] 54 65 81 16 26 67 7 23 93 68 13 63
[36,] 50 3 7 86 12 16 59 97 85 45 96 98
[37,] 100 44 70 23 91 85 10 96 51 16 58 35
[38,] 57 67 16 55 18 49 78 38 54 28 46 59
[39,] 67 62 88 5 57 43 33 69 30 54 89 76
[40,] 67 75 20 99 65 27 17 6 94 91 14 95
[41,] 73 92 100 32 73 84 15 39 8 26 43 94
[42,] 87 94 2 74 55 9 89 68 5 17 79 10
[43,] 1 97 61 61 11 33 23 57 25 22 29 71
[44,] 16 4 5 68 10 58 16 19 62 25 51 37
[45,] 11 41 90 66 56 9 61 2 64 13 37 34
[46,] 54 66 37 64 52 41 99 88 45 8 93 31
[47,] 95 39 66 54 81 86 79 1 11 67 64 1
[48,] 90 26 6 96 89 21 39 90 52 27 48 25
[49,] 40 27 63 9 42 89 31 60 53 59 96 20
[50,] 18 42 31 70 66 7 77 100 46 90 4 100
[51,] 36 38 92 76 94 80 92 65 8 29 50 56
[52,] 30 9 39 69 99 37 74 29 29 98 25 60
[53,] 26 81 62 12 82 55 58 13 55 6 91 70
[54,] 100 88 5 88 11 82 68 48 29 71 38 64
[55,] 36 34 1 31 62 80 8 62 50 46 41 7
[56,] 39 48 24 90 100 36 99 65 95 1 45 29
[57,] 26 17 72 6 90 2 19 41 82 9 5 12
[58,] 63 30 12 78 41 29 53 11 97 33 48 58
[59,] 43 90 66 73 10 88 71 47 8 61 65 78
[60,] 17 100 22 39 89 77 25 71 4 75 17 16
[61,] 76 95 38 31 51 65 7 87 59 45 95 65
[62,] 27 94 11 85 30 6 40 62 99 21 29 80
[63,] 79 36 9 96 4 71 26 39 65 47 4 91
[64,] 80 6 17 63 76 12 52 32 46 44 74 54
[65,] 55 35 43 86 96 99 48 81 42 97 3 22
[66,] 91 73 61 92 17 22 65 96 22 9 24 31
[67,] 38 10 100 22 7 23 8 77 21 70 69 16
[68,] 98 25 32 44 59 65 41 53 68 3 80 32
[69,] 52 27 73 95 61 37 26 98 61 86 17 24
[70,] 56 12 68 4 9 41 46 15 30 21 92 18
[71,] 24 27 73 58 42 41 16 66 26 65 52 81
[72,] 72 30 38 78 97 96 23 8 2 14 45 84
[73,] 51 87 94 29 39 82 100 37 55 15 67 34
[74,] 4 14 67 5 90 32 72 50 60 56 56 83
[75,] 19 1 71 86 82 22 42 80 21 78 16 82
[76,] 25 59 70 55 23 9 23 68 9 17 74 57
[77,] 46 71 96 51 71 33 58 79 65 33 26 9
[78,] 69 99 15 39 67 65 48 29 9 36 14 90
[79,] 87 10 31 2 5 68 18 81 71 69 78 84
[80,] 20 34 71 8 93 64 19 86 67 10 27 20
[81,] 24 75 14 59 64 29 49 75 45 76 2 36
[82,] 99 74 9 74 73 19 34 13 64 82 58 7
[83,] 33 50 67 40 75 17 16 93 11 6 71 56
[84,] 71 61 62 71 98 17 30 49 85 72 29 13
[85,] 68 38 74 79 84 91 94 48 49 73 52 15
[86,] 14 48 60 15 70 78 51 66 28 22 82 12
[87,] 54 34 45 36 39 55 43 45 96 26 76 99
[88,] 95 81 31 14 27 90 4 45 53 34 44 60
[89,] 2 82 25 99 11 99 40 12 71 84 33 97
[90,] 95 30 9 33 87 27 72 60 19 35 26 91
[91,] 85 94 3 67 62 65 27 100 67 65 14 84
[92,] 79 80 100 88 35 61 90 75 75 64 33 53
[93,] 28 81 84 22 8 51 83 78 34 43 75 96
[94,] 84 60 59 28 93 75 44 10 20 75 72 90
[95,] 58 52 88 41 80 48 17 96 11 47 18 85
[96,] 49 98 34 31 91 74 97 79 37 7 94 96
[97,] 49 79 21 35 23 89 58 28 93 38 49 7
[98,] 27 31 38 80 14 87 34 23 65 4 82 58
[99,] 35 88 2 71 4 74 38 5 29 93 11 82
[,86] [,87] [,88] [,89] [,90] [,91] [,92] [,93] [,94] [,95] [,96] [,97]
[1,] 8 9 45 76 56 53 59 3 16 52 11 3
[2,] 81 91 52 8 77 41 31 97 9 57 56 93
[3,] 95 62 97 93 83 80 52 46 64 86 60 81
[4,] 55 71 92 100 24 14 39 5 76 91 21 90
[5,] 42 48 15 32 1 97 39 23 78 33 45 21
[6,] 19 44 38 11 50 28 16 11 58 96 49 98
[7,] 13 53 5 13 21 75 90 7 45 31 44 41
[8,] 64 59 51 22 21 63 62 1 55 80 87 62
[9,] 8 1 87 31 25 76 55 8 77 3 16 42
[10,] 34 43 34 51 30 100 70 35 21 4 22 47
[11,] 13 8 7 49 37 2 20 27 91 22 6 15
[12,] 24 1 50 70 9 39 66 64 58 36 28 26
[13,] 71 36 6 20 60 21 83 10 63 85 92 38
[14,] 31 79 93 49 43 98 11 48 49 7 13 21
[15,] 24 6 45 80 4 43 27 3 63 91 34 94
[16,] 99 23 11 1 52 86 73 54 70 67 68 58
[17,] 49 41 45 82 34 75 60 71 36 97 80 41
[18,] 64 82 22 18 96 16 24 31 2 59 3 91
[19,] 42 41 58 36 3 76 87 16 39 59 31 81
[20,] 87 63 7 24 41 72 100 23 5 47 9 45
[21,] 59 100 98 60 92 22 56 75 99 11 15 18
[22,] 75 41 86 100 26 32 18 13 38 32 14 56
[23,] 59 89 39 99 70 52 44 52 11 24 34 85
[24,] 71 76 3 47 50 64 98 77 45 68 75 74
[25,] 84 66 60 13 75 27 93 79 11 40 99 23
[26,] 16 9 33 81 47 37 61 33 75 30 75 51
[27,] 95 72 20 34 29 60 24 52 86 91 59 45
[28,] 4 24 98 83 84 91 87 29 1 72 66 99
[29,] 30 47 69 26 58 47 32 23 82 24 7 67
[30,] 99 89 36 66 7 97 40 61 74 4 85 36
[31,] 77 74 16 31 25 97 81 83 56 38 100 9
[32,] 35 78 76 5 38 94 88 23 67 98 79 100
[33,] 60 86 79 98 53 12 81 89 5 30 72 78
[34,] 19 12 7 85 77 71 27 74 1 31 21 98
[35,] 76 19 45 6 61 32 91 7 96 31 6 9
[36,] 43 7 14 15 27 6 19 58 11 92 7 6
[37,] 1 39 89 24 66 83 91 54 45 66 62 55
[38,] 84 30 19 49 77 11 95 22 87 100 18 35
[39,] 71 21 59 88 97 58 56 63 2 60 21 39
[40,] 55 92 39 77 60 3 38 88 6 45 79 41
[41,] 88 69 28 75 100 82 32 90 16 71 23 64
[42,] 29 79 78 88 75 29 32 47 1 67 14 69
[43,] 95 75 42 60 71 30 74 75 79 89 17 43
[44,] 97 83 42 38 11 40 47 71 60 49 34 67
[45,] 8 22 5 44 55 93 68 8 50 80 67 70
[46,] 1 13 63 90 33 56 5 93 55 70 39 3
[47,] 68 71 52 55 64 78 71 80 74 21 79 94
[48,] 24 47 43 3 34 55 52 18 22 50 2 80
[49,] 3 27 83 45 95 73 97 50 93 86 69 2
[50,] 10 100 67 30 30 50 75 74 36 54 31 16
[51,] 92 66 63 39 72 30 61 95 88 1 49 32
[52,] 80 20 84 1 58 79 75 99 47 11 40 44
[53,] 97 59 4 29 5 16 41 93 65 17 84 36
[54,] 1 19 88 22 45 99 10 60 69 23 91 36
[55,] 95 58 47 61 6 9 51 40 81 72 63 36
[56,] 90 7 81 2 93 92 74 70 91 6 91 86
[57,] 2 26 48 74 14 96 31 7 46 51 45 27
[58,] 69 48 43 69 51 59 40 6 68 90 39 21
[59,] 73 9 56 56 14 23 40 63 96 5 22 30
[60,] 78 11 45 33 12 2 98 46 93 51 79 34
[61,] 34 91 66 76 32 87 18 19 85 32 11 21
[62,] 40 42 37 54 55 30 31 56 70 46 7 43
[63,] 32 44 8 77 10 64 30 43 10 43 37 83
[64,] 23 64 74 20 41 13 4 85 61 68 24 6
[65,] 87 2 100 62 13 7 25 27 44 13 12 2
[66,] 18 25 39 31 35 96 39 85 82 58 72 34
[67,] 70 6 22 68 96 79 78 96 18 66 53 15
[68,] 62 8 93 15 95 13 31 30 90 41 56 51
[69,] 51 50 76 49 16 71 38 62 23 86 86 45
[70,] 97 3 90 82 20 88 87 93 95 16 69 50
[71,] 99 64 67 37 39 59 85 59 56 97 18 89
[72,] 5 56 68 66 52 81 42 8 50 95 92 82
[73,] 24 11 59 26 43 99 95 47 73 75 20 14
[74,] 9 88 32 98 60 47 37 30 83 27 96 28
[75,] 76 46 96 86 82 21 91 91 48 27 83 52
[76,] 54 66 74 3 49 75 45 50 66 97 13 77
[77,] 9 72 91 34 22 40 74 100 53 30 99 39
[78,] 8 64 72 94 85 51 77 68 45 35 9 75
[79,] 98 35 51 86 26 27 79 65 4 39 10 16
[80,] 41 51 89 69 84 46 16 91 91 21 26 12
[81,] 24 36 12 74 39 6 19 32 96 30 4 57
[82,] 26 95 88 7 2 89 33 72 62 58 92 13
[83,] 32 44 79 31 65 97 35 45 73 82 62 74
[84,] 44 65 75 45 12 41 46 84 56 63 76 86
[85,] 63 30 82 90 2 97 94 71 81 29 27 86
[86,] 28 36 40 59 13 38 5 58 55 18 51 15
[87,] 51 33 41 1 87 37 33 22 3 10 58 35
[88,] 28 50 96 40 15 93 97 28 12 47 40 33
[89,] 14 26 17 68 14 41 30 85 88 51 23 90
[90,] 60 64 65 38 90 36 5 3 8 32 25 25
[91,] 72 80 25 57 3 88 54 1 96 72 93 32
[92,] 95 61 34 67 68 31 83 96 4 97 54 71
[93,] 47 8 15 42 54 15 31 72 56 45 53 37
[94,] 79 32 67 48 63 65 22 23 49 69 100 37
[95,] 41 15 77 32 39 5 88 79 13 97 63 19
[96,] 16 35 60 46 13 92 84 27 28 22 44 37
[97,] 53 83 2 35 58 10 53 4 83 33 14 62
[98,] 62 72 7 66 71 44 85 6 69 36 98 90
[99,] 49 13 28 82 51 25 25 12 25 20 60 21
[,98] [,99] [,100]
[1,] 60 11 28
[2,] 41 30 14
[3,] 48 72 61
[4,] 85 56 49
[5,] 38 42 83
[6,] 100 30 38
[7,] 46 29 31
[8,] 10 91 83
[9,] 80 61 90
[10,] 67 44 18
[11,] 11 14 81
[12,] 20 20 88
[13,] 81 43 71
[14,] 95 75 60
[15,] 39 35 86
[16,] 3 91 36
[17,] 88 45 96
[18,] 89 63 100
[19,] 38 7 64
[20,] 40 71 3
[21,] 64 99 48
[22,] 73 41 95
[23,] 82 26 43
[24,] 33 2 83
[25,] 52 20 48
[26,] 51 39 37
[27,] 65 1 81
[28,] 84 8 63
[29,] 59 9 26
[30,] 78 60 25
[31,] 3 77 73
[32,] 35 41 42
[33,] 6 75 83
[34,] 66 37 60
[35,] 51 49 78
[36,] 78 68 19
[37,] 91 50 86
[38,] 97 60 19
[39,] 90 90 96
[40,] 84 37 81
[41,] 63 64 50
[42,] 47 16 44
[43,] 92 47 30
[44,] 55 74 28
[45,] 21 76 1
[46,] 30 5 73
[47,] 8 87 92
[48,] 99 17 75
[49,] 96 56 97
[50,] 74 7 71
[51,] 14 35 22
[52,] 27 7 19
[53,] 74 85 53
[54,] 38 75 63
[55,] 9 49 17
[56,] 15 90 57
[57,] 2 16 53
[58,] 21 50 80
[59,] 78 99 37
[60,] 89 87 63
[61,] 82 17 86
[62,] 12 51 54
[63,] 46 69 14
[64,] 35 17 54
[65,] 83 81 12
[66,] 14 63 75
[67,] 21 35 100
[68,] 25 22 73
[69,] 96 74 91
[70,] 45 44 42
[71,] 59 100 53
[72,] 5 29 55
[73,] 46 78 80
[74,] 36 7 52
[75,] 51 93 95
[76,] 89 92 95
[77,] 83 59 63
[78,] 51 93 16
[79,] 86 28 23
[80,] 45 78 79
[81,] 9 30 47
[82,] 46 23 92
[83,] 95 97 3
[84,] 86 18 90
[85,] 63 11 43
[86,] 71 76 20
[87,] 61 15 75
[88,] 19 9 55
[89,] 62 43 88
[90,] 37 28 87
[91,] 21 88 69
[92,] 81 28 58
[93,] 36 81 17
[94,] 95 80 44
[95,] 74 13 40
[96,] 43 83 49
[97,] 44 68 25
[98,] 23 15 65
[99,] 10 45 28
$P
[1] 0.65 0.60 1.00 0.95 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
[16] 0.85 0.75 1.00 1.00 0.85 1.00 1.00 1.00 1.00 1.00 1.00 0.90 0.95 0.55 1.00
[31] 1.00 1.00 1.00 1.00 1.00 1.00 0.95 1.00 0.80 1.00 1.00 1.00 0.70 0.80 1.00
[46] 1.00 1.00 0.70 1.00 0.85 1.00 1.00 1.00 0.90 0.55 1.00 1.00 1.00 1.00 1.00
[61] 1.00 0.65 1.00 0.90 1.00 0.75 0.60 1.00 1.00 0.45 1.00 0.85 0.95 1.00 0.60
[76] 1.00 0.85 0.85 1.00 0.95 1.00 1.00 0.65 0.80 0.80 1.00 1.00 1.00 1.00 0.60
[91] 1.00 0.95 1.00 1.00 1.00 1.00 1.00 1.00 0.65
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
Embedding an R snippet on your website
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.