overall.corr.mat {BinNonNor} R Documentation

## Computes the final correlation matrix

### Description

This function computes the final correlation matrix by combining tetrachoric correlation for binary-binary combinations, biserial correlations for binary-continuous combinations, and intermediate correlation matrix for continuous-continuous combinations.

### Usage

overall.corr.mat(n.BB, n.NN, prop.vec = NULL, corr.vec = NULL, corr.mat = NULL,
coef.mat = NULL)

### Arguments

 n.BB Number of binary variables. n.NN Number of continuous non-normal variables. prop.vec Probability vector for binary variables. corr.vec Vector of elements below the diagonal of correlation matrix ordered columnwise. corr.mat Specified correlation matrix. coef.mat Matrix of coefficients produced from fleishman.coef.

### Value

A matrix of size (n.BB+n.NN)*(n.BB+n.NN).

### References

Demirtas, H., Hedeker, D., and Mermelstein, R.J. (2012). Simulation of massive public health data by power polynomials. Statistics in Medicine, 31(27), 3337-3346.

fleishman.coef, Tetra.Corr.BB, Int.Corr.NN, Biserial.Corr.BN

### Examples

n.BB=2
n.NN=4
prop.vec=c(0.4,0.7)
corr.vec=NULL
corr.mat=matrix(c(1.0,-0.3,-0.3,-0.3,-0.3,-0.3,
-0.3,1.0,-0.3,-0.3,-0.3,-0.3,
-0.3,-0.3,1.0,0.4,0.5,0.6,
-0.3,-0.3,0.4,1.0,0.7,0.8,
-0.3,-0.3,0.5,0.7,1.0,0.9,
-0.3,-0.3,0.6,0.8,0.9,1.0),6,byrow=TRUE)

coef.mat=matrix(c(
-0.31375,  0.00000,  0.10045, -0.10448,
0.82632,  1.08574,  1.10502,  0.98085,
0.31375,  0.00000, -0.10045,  0.10448,
0.02271, -0.02945, -0.04001,  0.00272),4,byrow=TRUE)

final.corr.mat=overall.corr.mat(n.BB,n.NN,prop.vec,corr.vec=NULL,corr.mat,
coef.mat)

corr.mat.BB=corr.mat[1:2,1:2]
final.corr.mat=overall.corr.mat(n.BB,n.NN=0,prop.vec,corr.vec=NULL,
corr.mat=corr.mat.BB,coef.mat=NULL)

corr.mat.NN=corr.mat[3:6,3:6]
final.corr.mat=overall.corr.mat(n.BB=0,n.NN,prop.vec=NULL,corr.vec=NULL,
corr.mat=corr.mat.NN,coef.mat)

n.BB=1
n.NN=1
prop.vec=0.6
corr.vec=NULL
corr.mat=matrix(c(1,-0.3,-0.3,1),2,2)
coef.mat=matrix(c(-0.31375,0.82632,0.31375,0.02271),4,1)
final.corr.mat=overall.corr.mat(n.BB,n.NN,prop.vec,corr.vec=NULL,corr.mat,
coef.mat)


[Package BinNonNor version 1.5.3 Index]