Closed Testing Procedures for Pairwise Comparisons in Multi-Sample Models

• Shiraishi Taka-aki

  Faculty of Information Sciences and Engineering, Nanzan University

Bibliographic Information

Other Title

• 多群モデルにおけるすべての平均相違に関する閉検定手順
• タグン モデル ニ オケル スベテ ノ ヘイキン ソウイ ニ カンスル ヘイケンテイ テジュン

Abstract

Under the assumptions of the continuous distribution and equality of variance, we consider multiple comparisons tests for the differences among mean responses in k samples. Closed testing procedures are superior to the Tukey-Kramar type multiple tests which are single-step procedures in many cases. The closed testing procedure more powerful than the Tukey-Welsch test and the REGW test is proposed under the usual normality. Furthermore the nonparametric closed testing procedure is discussed based on ranks. Last the proposed nonparametric closed testing procedure is illustrated with data regarding sarcoidosis from the assay of serum angiotensin-converting enzyme (SACE).

Journal

• Japanese Journal of Biometrics

  Japanese Journal of Biometrics 32 (1), 33-47, 2011

  The Biometric Society of Japan

Keywords

• Multiple comparisons tests
• Tukey-Kramar test
• Nonparametric rank tests
• Family-wise error rate
• Asymptotic theory

Details

• CRID: 1390001204370616448
• NII Article ID: 10029531708
• NII Book ID: AA11591618
• DOI: 10.5691/jjb.32.33
• ISSN: 21856494
• ISSN: 09184430
• NDL BIB ID: 11215732
• Web Site: http://id.ndl.go.jp/bib/11215732
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I11215732
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed