A rapid algorithm and a computer program for multiple test procedures using logical structures of hypotheses
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Published on: February 26, 2014
1Institut für Medizinische Statistik und Dokumentation, Universität Mainz, Germany.
Abstract:
It is demonstrated how improvements of general multiple test procedures can be obtained using information about the logical structures among the hypotheses. Based on a procedure of Bergmann and Hommel (B. Bergmann and G. Hommel, Improvements of general multiple test procedures for redundant systems of hypotheses, in Multiple Hypothesenprüfung--Multiple Hypotheses Testing, Eds. P. Bauer, G. Hommel and E. Sonnemann, pp. 100-115 (Springer-Verlag, Berlin, 1988)), a computer program was written by Bernhard (G. Bernhard, Computerunterstützte Durchführung von multiplen Testprozeduren--Algorithmen und Powervergleich, Doctoral thesis (Mainz, 1992)) using this information. It is applicable for a general class of systems of hypotheses which can be expressed in a linear way. By means of a simulation study it is shown that the proposed procedure is often substantially more powerful than other usual multiple test procedures.
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