Sequential Bonferroni Methods for Multiple Hypothesis Testing with Strong Control of Family-Wise Error Rates I and II

Sequential Bonferroni Methods for Multiple Hypothesis Testing with Strong Control of Family-Wise Error Rates I and II
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用于多重假设检验的序贯 Bonferroni 方法,对族错误率 I 和 II 进行强有力的控制

DOI:
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发表时间:
2012
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影响因子:
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通讯作者:
M. Baron
M. Baron
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作者:
Shyamal K. De;M. Baron

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摘要序贯程序是为了在序贯实验中同时检验多个假设而开发的。建议停止规则和决策规则实现了家庭明智的错误率I和II的强有力的控制。寻求最佳的程序,最大限度地减少预期的样本量在这些约束条件下。Bonferroni多重比较的方法扩展到顺序设置,并显示达到约50%的预期样本量减少与早期的方法相比。渐近最优的程序推导下皮特曼替代。
Abstract Sequential procedures are developed for simultaneous testing of multiple hypotheses in sequential experiments. Proposed stopping rules and decision rules achieve strong control of both family-wise error rates I and II. The optimal procedure is sought that minimizes the expected sample size under these constraints. Bonferroni methods for multiple comparisons are extended to sequential setting and are shown to attain an approximately 50% reduction in the expected sample size compared with the earlier approaches. Asymptotically optimal procedures are derived under Pitman alternative.
DOI: 10.1002/sim.4780121002
发表时间: 1993
影响因子: 2
作者:
Hughes,MD
通讯作者: Hughes,MD