Step-Up Simultaneous Tests for Identifying Active Effects in Orthogonal Saturated Designs

Authors

Samuel S. Wu
Weizhen Wang, Wright State University - Main CampusFollow

Document Type

Article

Publication Date

2-2007

Abstract

A sequence of null hypotheses regarding the number of negligible effects (zero effects) in orthogonal saturated designs is formulated. Two step-up simultaneous testing procedures are proposed to identify active effects (nonzero effects) under the commonly used assumption of effect sparsity. It is shown that each procedure controls the experimentwise error rate at a given alpha level in the strong sense.

Comments

Original publication is available at http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.aos/1181100194

Repository Citation

Wu, S. S., & Wang, W. (2007). Step-Up Simultaneous Tests for Identifying Active Effects in Orthogonal Saturated Designs. Annals of Statistics, 35 (1), 449-463.
https://corescholar.libraries.wright.edu/math/7

DOI

10.1214/009053606000001136