corMatrix.corStruct: Matrix of a corStruct Object

Description Usage Arguments Value Author(s) References See Also Examples

View source: R/corStruct.R

Description

This method function extracts the correlation matrix (or its transpose inverse square-root factor), or list of correlation matrices (or their transpose inverse square-root factors) corresponding to covariate and object. Letting S denote a correlation matrix, a square-root factor of S is any square matrix L such that S=L'L. When corr = FALSE, this method extracts L^(-t).

Usage

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## S3 method for class 'corStruct'
corMatrix(object, covariate, corr, ...)

Arguments

object

an object inheriting from class "corStruct" representing a correlation structure.

covariate

an optional covariate vector (matrix), or list of covariate vectors (matrices), at which values the correlation matrix, or list of correlation matrices, are to be evaluated. Defaults to getCovariate(object).

corr

a logical value. If TRUE the function returns the correlation matrix, or list of correlation matrices, represented by object. If FALSE the function returns a transpose inverse square-root of the correlation matrix, or a list of transpose inverse square-root factors of the correlation matrices.

...

some methods for this generic require additional arguments. None are used in this method.

Value

If covariate is a vector (matrix), the returned value will be an array with the corresponding correlation matrix (or its transpose inverse square-root factor). If the covariate is a list of vectors (matrices), the returned value will be a list with the correlation matrices (or their transpose inverse square-root factors) corresponding to each component of covariate.

Author(s)

Jos<c3><a9> Pinheiro and Douglas Bates [email protected]

References

Pinheiro, J.C., and Bates, D.M. (2000) "Mixed-Effects Models in S and S-PLUS", Springer.

See Also

corFactor.corStruct, Initialize.corStruct

Examples

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cs1 <- corAR1(0.3)
corMatrix(cs1, covariate = 1:4)
corMatrix(cs1, covariate = 1:4, corr = FALSE)

# Pinheiro and Bates, p. 225
cs1CompSymm <- corCompSymm(value = 0.3, form = ~ 1 | Subject)
cs1CompSymm <- Initialize(cs1CompSymm, data = Orthodont)
corMatrix(cs1CompSymm)

# Pinheiro and Bates, p. 226
cs1Symm <- corSymm(value = c(0.2, 0.1, -0.1, 0, 0.2, 0),
                   form = ~ 1 | Subject)
cs1Symm <- Initialize(cs1Symm, data = Orthodont)
corMatrix(cs1Symm)

# Pinheiro and Bates, p. 236 
cs1AR1 <- corAR1(0.8, form = ~ 1 | Subject)
cs1AR1 <- Initialize(cs1AR1, data = Orthodont)
corMatrix(cs1AR1)

# Pinheiro and Bates, p. 237 
cs1ARMA <- corARMA(0.4, form = ~ 1 | Subject, q = 1)
cs1ARMA <- Initialize(cs1ARMA, data = Orthodont)
corMatrix(cs1ARMA)

# Pinheiro and Bates, p. 238 
spatDat <- data.frame(x = (0:4)/4, y = (0:4)/4)
cs1Exp <- corExp(1, form = ~ x + y)
cs1Exp <- Initialize(cs1Exp, spatDat)
corMatrix(cs1Exp)

Example output

      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.30 0.09 0.027
[2,] 0.300 1.00 0.30 0.090
[3,] 0.090 0.30 1.00 0.300
[4,] 0.027 0.09 0.30 1.000
           [,1]       [,2]       [,3]     [,4]
[1,]  1.0000000  0.0000000  0.0000000 0.000000
[2,] -0.3144855  1.0482848  0.0000000 0.000000
[3,]  0.0000000 -0.3144855  1.0482848 0.000000
[4,]  0.0000000  0.0000000 -0.3144855 1.048285
attr(,"logDet")
[1] 0.141466
$M01
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M02
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M03
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M04
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M05
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M06
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M07
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M08
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M09
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M10
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M11
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M12
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M13
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M14
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M15
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M16
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$F01
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$F02
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$F03
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$F04
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$F05
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$F06
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$F07
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$F08
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$F09
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$F10
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$F11
     [,1] [,2] [,3] [,4]
[1,]  1.0  0.3  0.3  0.3
[2,]  0.3  1.0  0.3  0.3
[3,]  0.3  0.3  1.0  0.3
[4,]  0.3  0.3  0.3  1.0

$M01
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M02
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M03
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M04
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M05
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M06
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M07
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M08
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M09
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M10
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M11
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M12
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M13
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M14
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M15
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M16
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$F01
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$F02
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$F03
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$F04
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$F05
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$F06
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$F07
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$F08
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$F09
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$F10
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$F11
     [,1]         [,2]          [,3]          [,4]
[1,]  1.0 2.000000e-01  1.000000e-01 -1.000000e-01
[2,]  0.2 1.000000e+00  9.020562e-17  2.000000e-01
[3,]  0.1 9.020562e-17  1.000000e+00 -1.040834e-16
[4,] -0.1 2.000000e-01 -1.040834e-16  1.000000e+00

$M01
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M02
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M03
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M04
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M05
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M06
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M07
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M08
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M09
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M10
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M11
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M12
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M13
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M14
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M15
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M16
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$F01
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$F02
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$F03
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$F04
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$F05
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$F06
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$F07
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$F08
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$F09
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$F10
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$F11
      [,1] [,2] [,3]  [,4]
[1,] 1.000 0.80 0.64 0.512
[2,] 0.800 1.00 0.80 0.640
[3,] 0.640 0.80 1.00 0.800
[4,] 0.512 0.64 0.80 1.000

$M01
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M02
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M03
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M04
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M05
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M06
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M07
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M08
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M09
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M10
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M11
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M12
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M13
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M14
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M15
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$M16
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$F01
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$F02
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$F03
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$F04
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$F05
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$F06
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$F07
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$F08
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$F09
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$F10
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

$F11
          [,1]      [,2]      [,3]      [,4]
[1,] 1.0000000 0.3448276 0.0000000 0.0000000
[2,] 0.3448276 1.0000000 0.3448276 0.0000000
[3,] 0.0000000 0.3448276 1.0000000 0.3448276
[4,] 0.0000000 0.0000000 0.3448276 1.0000000

          [,1]      [,2]      [,3]      [,4]      [,5]
[1,] 1.0000000 0.7021885 0.4930687 0.3462272 0.2431167
[2,] 0.7021885 1.0000000 0.7021885 0.4930687 0.3462272
[3,] 0.4930687 0.7021885 1.0000000 0.7021885 0.4930687
[4,] 0.3462272 0.4930687 0.7021885 1.0000000 0.7021885
[5,] 0.2431167 0.3462272 0.4930687 0.7021885 1.0000000

nlme documentation built on May 30, 2017, 3:12 a.m.