Multiple Hypotheses Testing Based on Ordered p ValuesA Historical Survey with Applications to Medical Research

作者：Hommel Gerhard^*; Bretz Frank; Maurer Willi

来源：Journal of Biopharmaceutical Statistics, 2011, 21(4): 595-609.

DOI：10.1080/10543406.2011.552879

• Cutoff tests
• False discovery rate
• Familywise error rate
• Global test
• Multiple test procedure
• Weighted test procedure

Global tests and multiple test procedures are often based on ordered p values. Such procedures are available for arbitrary dependence structures as well as for specific dependence assumptions of the test statistics. Most of these procedures have been considered as global tests. Multiple test procedures can be obtained by applying the closure principle in order to control the familywise error rate, or by using the false discovery rate as a criterion for type I error rate control. We provide an overview and present examples showing the importance of these procedures in medical research. Finally, we discuss modifications when different weights for the hypotheses of interest are chosen.

• 出版日期2011
• 单位河北医科大学