Directional Error Rates of Closed Testing Procedures

作者：Westfall Peter H^*; Bretz Frank; Tobias Randall D

来源：Statistics in Biopharmaceutical Research, 2013, 5(4): 345-355.

DOI：10.1080/19466315.2013.818575

• Closure principle
• Familywise error rate
• Logical constraints
• Multiple testing
• Type III errors

Closed multiple testing procedures are common in biopharmaceutical protocols. Whether their directional error rates are controlled is largely an open problem. In this article, directional error rates are investigated using analytical, numerical, and Monte Carlo methods. This article presents a Monte Carlo variance-reduction method amenable to this purpose. A factorial design is used to identify possible problem areas, and directional error rates are simulated. No cases of excess directional error are found for typical applications involving noncentral multivariate T distributions. However, directional error rates in excess of the nominal are found when using regression function tests with nearly collinear linear combinations, both for one-sided and two-sided tests.

• 出版日期2013-11