On generalized Simes critical constants

Biometrical Journal56(2014) 6, 1035 1054 DOI: generalized Simes critical constantsJiangtao Gou1andAjit C. Tamhane ,21 Department of Statistics, Northwestern University, 2006 Sheridan Road, Evanston, IL 60208, USA2 Department of Industrial Engineering and Management Sciences, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, USAR eceived 4 November 2013; revised 26 March 2014; accepted 18 April 2014We consider the problem treated by Simes of testing the overall null hypothesis formed by the intersectionof a set of elementary null hypotheses based on orderedp-values of the associated test statistics.

1036 J. Gou and A. C. Tamhane: On generalized Simes critical constants Cai and Sarkar (2008) defined generalized Simes critical constants as any set of c i (1 ≤ i ≤ n) that satisfy

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