the default likelihood function for observed data of type=cov or cor multiplies
log(det(predictedCov)) + trace(observedCov %*% inverse(predictedCov))
by (numObs - 1). my understanding is that both the derivations from the multivariate normal pdf and the wishart pdf lead to this being multiplied by numObs and not (numObs - 1). (note that math/stat treatment of the wishart talks of "degrees of freedom" but the actual algebra defines this quantity as numObs).
i stand to be corrected here.
PS for most stuff in SEM, this is completely trivial. i am, however, in the process of writing an efficient algorithm for pedigree analysis in openmx (the genetic stuff) and want to know if i do or do not need to correct the likelihood function. also, if i am correct, the MLE will not be correct for the pedigree analysis.