A locally most powerful test for homogeneity with many strata

Kung Yee Liang

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


A locally most powerful test is proposed for homogeneity of nuisance parameters from many strata in the mixed model setting. The test is based on the difference between the square of the score and the observed information about the nuisance parameters, all evaluated at the null hypothesis. Several examples including constant normal mean with possibly different variances and matched case-control studies are presented in detail. The relative efficiencies of the unstratified estimator of parameter of interest versus the stratified one are calculated. Two data sets on matched case-control studies are used for illustration.

Original languageEnglish (US)
Pages (from-to)259-264
Number of pages6
Issue number2
StatePublished - Jun 1 1987


  • Locally most powerful
  • Matched case-control study
  • Mixed model
  • Stratification
  • Test for homogeneity

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Agricultural and Biological Sciences (miscellaneous)
  • Agricultural and Biological Sciences(all)
  • Statistics, Probability and Uncertainty
  • Applied Mathematics


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