Use the drop-down menu to specify the estimation method to be used for Binary,
Nominal, or
Ordinal trait types and a
model that includes
random effects. PROC GLIMMIX is used to perform the estimation.
Pseudo-likelihood methods for generalized linear mixed models can be cast in terms of Taylor series expansions (linearizations) of the GLMM.
Residual methods account for the fixed effects in the construction of the objective function, which reduces the bias in
covariance parameter estimates. Estimation methods involving Taylor series create pseudo-data for each optimization. Those data are transformed to have zero mean in a residual method. While the covariance parameter estimates in a residual method are the maximum likelihood estimates for the transformed problem, the fixed-effects estimates are (estimated) generalized least squares estimates. In a likelihood method that is
not residual based, both the covariance parameters and the fixed-effects estimates are maximum likelihood estimates, but the former are known to have greater bias. In some problems, residual likelihood estimates of covariance parameters are unbiased.