用于Benjamini-Hochberg程序的平均功效的精确计算。
Exact calculations of average power for the Benjamini-Hochberg procedure.
作者信息
Glueck Deborah H, Mandel Jan, Karimpour-Fard Anis, Hunter Lawrence, Muller Keith E
机构信息
University of Colorado Denver,
出版信息
Int J Biostat. 2008;4(1):Article 11. doi: 10.2202/1557-4679.1103.
Abstract
Exact analytic expressions are developed for the average power of the Benjamini and Hochberg false discovery control procedure. The result is based on explicit computation of the joint probability distribution of the total number of rejections and the number of false rejections, and expressed in terms of the cumulative distribution functions of the p-values of the hypotheses. An example of analytic evaluation of the average power is given. The result is confirmed by numerical experiments and applied to a meta-analysis of three clinical studies in mammography.
摘要
针对本雅明尼和霍赫贝格错误发现控制程序的平均功效，推导出了精确的解析表达式。该结果基于对拒绝总数和错误拒绝数的联合概率分布的显式计算，并根据假设的p值的累积分布函数来表示。给出了平均功效的解析评估示例。通过数值实验对结果进行了验证，并将其应用于三项乳腺X线摄影临床研究的荟萃分析。
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