A simulation study of several tests of the equality of binomial probabilities against ordered alternatives

D. D.Sarath Kulatunga, Mikiko Asai, Syoichi Sasabuchi

研究成果: Contribution to journalArticle査読

5 被引用数 (Scopus)

抄録

Four test statistics, namely isotonic test based on arcsin transformation, isotonic test, likelihood ratio test and contrast test, which test the equality of binomial probabilities against ordered alternatives were compared with respect to size and power by extensive simulation. We found that the estimated sizes of the isotonic test based on arcsin transformation and the contrast test overstate the nominal test levels. However, the estimated sizes of the isotonic test and the likelihood ratio test are in close agreement with their corresponding nominal levels. Particularly, when sample sizes are as small as ten, the isotonic test is far better than the likelihood ratio test. For large sample sizes, the former holds little advantage over the latter.

本文言語英語
ページ(範囲)53-75
ページ数23
ジャーナルJournal of Statistical Computation and Simulation
56
1
DOI
出版ステータス出版済み - 1996
外部発表はい

All Science Journal Classification (ASJC) codes

  • 統計学および確率
  • モデリングとシミュレーション
  • 統計学、確率および不確実性
  • 応用数学

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