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

Samuel S. Wu; Weizhen Wang

doi:10.1214/009053606000001136

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

Statistics Theory 2009-09-29 v1 Statistics Theory

Authors: Samuel S. Wu , Weizhen Wang

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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.

Keywords

false discovery rate hypothesis testing stochastic processes

Cite

@article{arxiv.0708.0715,
  title  = {Step-up simultaneous tests for identifying active effects in orthogonal saturated designs},
  author = {Samuel S. Wu and Weizhen Wang},
  journal= {arXiv preprint arXiv:0708.0715},
  year   = {2009}
}

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Published at http://dx.doi.org/10.1214/009053606000001136 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)

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

Abstract

Keywords

Cite

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