Generating Equations

From the factor loading matrix and the parameter means and standard deviations, equations can be constructed that will predict parameter values from independent factors. In matrix notation, these equations can be written

X = M + DVf

where

V = factor loadings matrix (n by m)

M = mean vector (n values)

D = diagonal matrix of standard deviations (n values), and

f = vector of independent factors (m values) with a mean of 0 and a variance of 1.