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Biometrika 1976 63(3):655-660; doi:10.1093/biomet/63.3.655
© 1976 by Biometrika Trust
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On closed testing procedures with special reference to ordered analysis of variance

RUTH MARCUS, PERITZ ERIC and K. R. GABRIEL

Department of Statistics, Tel-Aviv University
Department of Statistics, Hebrew University of Jerusalem
Department of Statistics, University of Rochester New York

A method of devising stepwise multiple testing procedures with fixed experimentwise error is presented. The method requires the set of hypotheses tested to be closed under intersection. The method is applied to the problem of comparing many treatments to one control and to ordered analysis of variance.

Key Words: Closed testing procedures • Multiple comparisons • Multiple testing procedure • Oneway analysis of variance • Ordered alternatives


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