# 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

 1 2 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

William Revelle

### Examples

 1 2 3 4 5 6 7 8 9 10 11 12 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))

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