Journal
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Volume 47, Issue 8, Pages 2332-2342Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03610918.2017.1343837
Keywords
Binomial distribution; Cost structure of experiment; Group sequential test; Optimal design; Sequential analysis; 62L05; 62K05
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Funding
- National Natural Science Foundation of China [11561011]
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In this article, we systematically study the optimal truncated group sequential test on binomial proportions. Through analysis of the cost structure, average test cost is introduced as a new optimality criterion. According to the new criterion, the optimal tests on different design parameters including the boundaries, success discriminant value, stage sample vector, stage size, and the maximum sample size are defined. Since the computation time in finding optimal designs by exhaustive search is intolerably long, group sequential sample space sorting method and procedures are developed to find the near-optimal ones. In comparison with the international standard ISO2859-1, the truncated group sequential designs proposed in this article can reduce the average test costs around 20%.
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