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On optimality of stepdown and stepup multiple test procedures

  • Author(s): Lehmann, E L
  • Romano, J P
  • Shaffer, Juliet P
  • et al.
Abstract

Consider the multiple testing problem of testing k null hypotheses, where the unknown family of distributions is assumed to satisfy a certain monotonicity assumption. Attention is restricted to procedures that control the familywise error rate in the strong sense and which satisfy a monotonicity condition. Under these assumptions, we prove certain maximin optimality results for some well-known stepdown and stepup procedures.

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