This dissertation addresses statistical issues that arise in a multiple testing framework when each of m hypotheses is tested via permutation methods. A standard error rate to control in multiple testing situations (especially when m ∼ 104) is the false discovery rate which describes the expected ratio of type I errors to the total number of rejections. An adaptive approach to controlling the false discovery rate is to estimate the number of type I errors using a data-based estimate of m0, the number of true null hypotheses. Estimation of m0 has received much interest in recent years. Existing methods assume each of the m p-values has a continuous uniform (0,1) null distribution. This dissertation discusses numerous ways in which p-values may not have continuous uniform (0,1) null distributions and proposes how to estimate m0 and the false discovery rate in these scenarios. The first scenario involves a sequential permutation testing procedure that can substantially reduce computational expense when the test statistic is computationally intensive. The method is demonstrated via an application involving the genetic mapping of expression quantitative trait loci (eQTL). Other scenarios are motivated by problems that arise in genomics and proteomics.
|Commitee:||Maitra, Ranjan, Nordman, Dan, Vardeman, Stephen, Wise, Roger|
|School:||Iowa State University|
|School Location:||United States -- Iowa|
|Source:||DAI-B 71/01, Dissertation Abstracts International|
|Keywords:||Discrete p-values, False discovery rate, Multiple testing, Permutation testing, Sequential analysis|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be