A rapid algorithm and a computer program for multiple test procedures using logical structures of hypotheses.
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.
Institut für Medizinische Statistik und Dokumentation, Universität Mainz, Germany.
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D000465:Algorithms; D003198:Computer Simulation; D008128:Logic; D015233:Models, Statistical; D011336:Probability; D012984:Software; D013598:Systems Theory