Development of Adaptive Group Sequential Procedure for Changing Sample Size |
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Authors: | Tomohiro Nakamura Hideyuki Douke |
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Institution: | 1. Faculty of Medicine , Yamagata University , Yamagata, Japan tnakamura@med.id.yamagata-u.ac.jp;3. Department of Mathematical Sciences , Tokai University , Hiratsuka, Kanagawa, Japan |
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Abstract: | In this study, we propose a group sequential procedure that allows the change of necessary sample size at intermediary stage in sequential test. In the procedure, we formulate the conditional power to judge the necessity of the change of sample size in decision rules. Furthermore, we present an integral formula of the power of the test and show how to change the necessary sample size by using the power of the test. In simulation studies, we investigate the characteristics of the change of sample size and the pattern of decision across all stages based on generated normal random numbers. |
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Keywords: | Calculating of necessary sample size Conditional power Cui's weighted statistic Formulation of the power of test |
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