Wediscusspropertiesofthescorestatisticsfortestingthenullhypothesis ofhomogeneityinaWeibullmixingmodelinwhichthegroupeffectismodelledas arandomvariableandsomeofthecovariatesaremeasuredwitherror.Thestatistics proposed are based on the corrected score approach and they require estimation onlyundertheconventionalWeibullmodelwithmeasurementerrorsanddoesnot require that the distribution of the random effect be specified. The results in this paperextendresultsinGimenez,Bolfarine,andColosimo(AnnalsoftheInstitute ofStatisticalMathematics,52,698–711,2000)forthecaseofindependentWeibull models.Asimulation study is provided.