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Using the partitioning principle to control generalized familywise error rate

Xu, Haiyan
http://rave.ohiolink.edu/etdc/view?acc_num=osu1127161016

Abstract Details

2005, Doctor of Philosophy, Ohio State University, Statistics.
In multiple testing, strong control of the familywise error rate (FWER) may be unnecessarily stringent in some situations such as bioinformatic studies. An alternative is to control the false discovery rate (FDR), the expected proportion of true null hypotheses among all rejected null hypotheses. However, in bioinformatic studies, the loss or cost of false discoveries often corresponds to the number rather than the proportion of false discoveries. Controlling the generalized familywise error rate (gFWER) controls the probability of incorrectly rejecting strictly more than m hypotheses. In this dissertation, we propose the generalized partitioning principle for constructing multiple tests that control gFWER. A set of sufficient conditions to shortcut generalized partitioning tests as step-down tests is provided. We show that, by being able to use information on the joint distribution of test statistics, step-down tests we propose can be more powerful than stepdown tests that ignore such information.
Jason Hsu (Advisor)
FWER; FDR; gFWER; partitioning principle; stepdown test

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Citations

  • Xu, H. (2005). Using the partitioning principle to control generalized familywise error rate [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1127161016

    APA Style (7th edition)

  • Xu, Haiyan. Using the partitioning principle to control generalized familywise error rate. 2005. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1127161016.

    MLA Style (8th edition)

  • Xu, Haiyan. "Using the partitioning principle to control generalized familywise error rate." Doctoral dissertation, Ohio State University, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=osu1127161016

    Chicago Manual of Style (17th edition)

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This open access ETD is published by The Ohio State University and OhioLINK.