TY - JOUR
TI - A simulation-based goodness-of-fit test for random effects in generalized linear mixed models
LA - eng
AU - Waagepetersen, Rasmus
JF - Scandinavian Journal of Statistics
VL - 33
IS - 4
SP - 721
EP - 731
PY - 2006
SN - 14679469, 03036898
AB - The goodness-of-fit of the distribution of random effects in a generalized linear mixed model is assessed using a conditional simulation of the random effects conditional on the observations. Provided that the specified joint model for random effects and observations is correct, the marginal distribution of the simulated random effects coincides with the assumed random effects distribution. In practice, the specified model depends on some unknown parameter which is replaced by an estimate. We obtain a correction for this by deriving the asymptotic distribution of the empirical distribution function obtained from the conditional sample of the random effects. The approach is illustrated by simulation studies and data examples.
ER -