Inadmissibility of some tests for order-restricted alternatives

Arthur Cohen, H. B. Sackrowitz

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Lee (1987) proposes four test statistics for testing homogeneity of multinomial parameters against an order-restricted alternative. We show that two of the four tests are often not monotone in some direction dictated by the ordered alternative. In such cases, oftentimes the tests based on these statistics are inadmissible. In fact, for the simple order alternative two of the four tests are inadmissible for most sample sizes and most test sizes.

Original languageEnglish (US)
Pages (from-to)153-156
Number of pages4
JournalStatistics and Probability Letters
Issue number2
StatePublished - Aug 1 1995

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


  • Complete classes
  • Cone order
  • Monotone
  • Projections
  • Simple order
  • Simple tree order
  • Umbrella order


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