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Multiple testing of pairs of one-sided hypotheses

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Summary

Two-sided test procedures fork real parameters should point out in the case of rejection whether the left or the right alternative can be assumed. This sets up a multiple testing problem fork pairs of one-sided hypotheses. Holm's (1979, Scandinavian Journal of Statistics 6:65–70) sequentially rejective test provides a solution the critical levels of which are slightly improved. Considerable improvement is obtained when the hypotheses are redefined to be disjoint in pairs.

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References

  • Holm S (1977) Sequentially rejective multiple test procedures. Statistical Research Report 1977-1, University of Umea, Sweden

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  • Holm S (1979) A simple sequentially rejective multiple test procedure. Scand J Statist 6:65–70

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  • Marcus R, Peritz E, Gabriel KR (1976) On closed testing procedures with special reference to ordered analysis of variance. Biometrika 63:655–660

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  • Shaffer J (1980) Control of directional errors with stagewise multiple test procedures. Ann Statist 8:1342–1347

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  • Sonnemann E (1982) Allgemeine Lösungen multipler Testprobleme. EDV in Med u Biol 13:120–128

    Google Scholar 

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Authors and Affiliations

  1. Inst. f. Med. Statistik und Dokumentation, Universität Wien, Schwarzspanierstr. 17, 1090, Wien, Austria

    P. Bauer

  2. Inst. f. Statistik, Wirtschaftsuniversität Wien, Aug. 2–6, 1090, Wien, Austria

    P. Hackl

  3. Klinikum der Johannes-Gutenberg-Universität, Inst. f. Med. Statistik und Dokumentation, Postfach 3960, 6500, Mainz, FRG

    G. Hommel

  4. FBIV-Ang. Math./Statistik, Universität Trier, Postfach 3825, 5500, Trier, FRG

    E. Sonnemann

Authors
  1. P. Bauer
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  2. P. Hackl
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  3. G. Hommel
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  4. E. Sonnemann
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Bauer, P., Hackl, P., Hommel, G. et al. Multiple testing of pairs of one-sided hypotheses. Metrika 33, 121–127 (1986). https://doi.org/10.1007/BF01894737

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  • DOI: https://doi.org/10.1007/BF01894737

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