Multiple testing of pairs of one-sided hypotheses

Peter Bauer; Peter Hackl; Gerhard Hommel; Eckart Sonnemann

Multiple testing of pairs of one-sided hypotheses

Peter Bauer
, Peter Hackl
, Gerhard Hommel
, Eckart Sonnemann

Institute for Statistics and Mathematics

Publication: Scientific journal › Journal article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	121-127
Number of pages	8
Journal	Metrika
Volume	33
Publication status	Published - 1987

Cite this

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title = "Multiple testing of pairs of one-sided hypotheses",

abstract = "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.",

author = "Peter Bauer and Peter Hackl and Gerhard Hommel and Eckart Sonnemann",

year = "1987",

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AU - Bauer, Peter

AU - Hackl, Peter

AU - Hommel, Gerhard

AU - Sonnemann, Eckart

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N2 - 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.

AB - 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.

M3 - Journal article

SN - 0026-1335

VL - 33

SP - 121

EP - 127

JO - Metrika

JF - Metrika

ER -