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super.matrix

Form a super matrix from two sub matrices.


Description

Given the matrices nXm, and jYk, form the super matrix of dimensions (n+j) and (m+k) with with elements x and y along the super diagonal. Useful when considering structural equations. The measurement models x and y can be combined into a larger measurement model of all of the variables. If either x or y is a list of matrices, then recursively form a super matrix of all of those elements.

Usage

superMatrix(x,y)
super.matrix(x, y)  #Deprecated

Arguments

x

A n x m matrix or a list of such matrices

y

A j x k matrix or a list of such matrices

Details

Several functions, e.g., sim.structural,structure.graph, make.keys use matrices that can be thought of as formed from a set of submatrices. In particular, when using make.keys in order to score a set of items (scoreItems or scoreOverlap) or to form specified clusters (cluster.cor), it is convenient to define different sets of scoring keys for different sets of items and to combine these scoring keys into one super key.

Value

A (n+j) x (m +k) matrix with appropriate row and column names

Author(s)

William Revelle

See Also

Examples

mx <- matrix(c(.9,.8,.7,rep(0,4),.8,.7,.6),ncol=2)
my <- matrix(c(.6,.5,.4))

colnames(mx) <- paste("X",1:dim(mx)[2],sep="")
rownames(mx) <- paste("Xv",1:dim(mx)[1],sep="")
colnames(my) <- "Y"
rownames(my) <- paste("Yv",1:3,sep="")
mxy <- superMatrix(mx,my)
#show the use of a list to do this as well
key1 <- make.keys(6,list(first=c(1,-2,3),second=4:6,all=1:6))  #make a scoring key
key2 <- make.keys(4,list(EA=c(1,2),TA=c(3,4)))
superMatrix(list(key1,key2))

psych

Procedures for Psychological, Psychometric, and Personality Research

v2.1.3
GPL (>= 2)
Authors
William Revelle [aut, cre] (<https://orcid.org/0000-0003-4880-9610>)
Initial release
2021-03-21

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