Step-up simultaneous tests for identifying active effects in orthogonal saturated designs

• 成果类型: Article
• 署名作者: Wu, Samuel S.; Wang, Weizhen
• 署名单位: State University System of Florida; University of Florida; University System of Ohio; Wright State University Dayton
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/009053606000001136
• 发表日期: 2007
• 页码: 449-463
• 关键词: factorials; error

摘要

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.