  Mean plausible values can be computed when Bayesian structural equation
modeling (BSEM) is performed. As mean plausible values do not preserve the
inter-factor correlations, they yield path coefficients that are different from
the estimated path coefficients of the model. As it might be of interest to
perform exactly the same prediction on the level of plausible values that has
been estimated by BSEM, correlation-preserving mean plausible values were
proposed. An example for the computation of the correlation preserving mean
plausible values is given and the corresponding syntax is given in the
Appendix.
