2-POPULATION SEQUENTIAL TESTS WITH 3 HYPOTHESES
成果类型：
Article
署名作者：
HAYRE, LS
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
发表日期：
1979
页码：
465474
关键词：
摘要：
A sequential procedure is proposed for choosing 1 of 3 hypotheses concerning the difference between the means of 2 normal populations. Error probabilities are approximately independent of the sampling rule for a wide class of sampling rules, and approximate expressions are derived for these probabilities. A data-dependent sampling rule is given for minimizing any weighted average of the average sample numbers on the 2 populations, with the weights being allowed to depend on the difference between the means. The rule is asymptotically optimal for the procedure, and simulation results indicate that it is nearly optimal for small sample sizes.