IntermediateOO function

Computes intermediate correlations for ordinal-ordinal pairs before ordinalization

This function computes the correlation of normal-normal pairs before ordinalizing both components.

IntermediateOO(plist, OOCorrMat)

Arguments

• plist: A list of probability vectors corresponding to each ordinal variable. The i-th element of plist is a vector of the cumulative probabilities defining the marginal distribution of the i-th ordinal component of the multivariate variables. If the i-th ordinal variable has k categories, the i-th vector of the plist will contain k-1 probability values. The k-th element is implicitly 1.
• OOCorrMat: A matrix of pairwise target correlations between ordinal variables. It is a symmetric square matrix whose diagonal elements are 1.

Returns

A pairwise correlation matrix of intermediate correlations for ordinal variables.

See Also

IntermediateON, cmat.star

Examples

no.ord=3
        no.norm =4
        n = 200
        q=no.ord + no.norm
        set.seed(12345)
        
        Sigma = diag(q)
        Sigma[lower.tri(Sigma)] = runif( (q*(q-1)/2),-0.4,0.4 )
        Sigma = Sigma + t(Sigma)
        diag(Sigma)=1
        Sigma=as.matrix( nearPD(Sigma,corr = TRUE, keepDiag = TRUE)$mat )

        marginal = list( 0.3, cumsum( c(0.30, 0.40) ), cumsum(c(0.4, 0.2, 0.3) ) )
 
        OOCorrMat = Sigma[1:3, 1:3]
        IntermediateOO(marginal, OOCorrMat)