Create a matrix with a specific correlation within a specific distribution

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Carlos Bosley
Carlos Bosley 2018-11-13
I am creating matrices of random variables within the normal, uniform, and chi square distributions. However, I need to be able to specify the correlation value of the matrices.
rowsize = 10;
columnsize = 3;
dg = 2;
correlation_value = 0.7;
matrix = zeros(rowsize, columnsize);
for row = 1:rowsize
for column = 1:columnsize
matrix(row, column) = chi2rnd(dg);
end
end
correlatedMatrix = SomeFunction(matrix, correlation_value);
result = corr(correlatedMatrix)
result =
1.0000 0.7000 0.7000
0.7000 1.0000 0.7000
0.7000 0.7000 1.0000
Is there a function or some code to replace
correlatedMatrix = SomeFunction(...)
or a function or code to replace the call to chi2rnd(dg) where result will still be within the chi square distribution?

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