Testing for one-sided group effects in repeated measures study

Dong Wan Shin, Chul Gyu Park, Taesung Park

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In repeated measures experiments, one-sided tests for group effects are developed using the likelihood ratio principle. The constrained maximum likelihood estimators under hypotheses of one-sided group effects are approximated by projecting unconstrained maximum likelihood estimators onto the first-quadrant. From these constrained maximum likelihood estimators, likelihood ratio tests are constructed. The limiting null distributions of the proposed test statistics are shown to be chi-bar square distributions. A simulation study shows that the proposed tests have improved power over the usual chi-square statistics for testing group effects. Two real data sets are analyzed to illustrate the proposed statistics.

Original languageEnglish
Pages (from-to)233-247
Number of pages15
JournalComputational Statistics and Data Analysis
Volume37
Issue number2
DOIs
StatePublished - 28 Aug 2001

Keywords

  • Chi-bar square distribution
  • Likelihood ratio statistics
  • Maximum likelihoodestimation
  • One-sided hypothesis
  • Repeated measurement

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