Journal
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
Volume 106, Issue 493, Pages 260-274Publisher
AMER STATISTICAL ASSOC
DOI: 10.1198/jasa.2011.tm10284
Keywords
Gene-set test; Large p, small n; U-statistics
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Funding
- NSF [SES-0518904, DMS-0604563, DMS-0714978]
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We propose simultaneous tests for coefficients in high-dimensional linear regression models with factorial designs. The proposed tests are designed for the large p, small n situations where the conventional F-test is no longer applicable. We derive the asymptotic distribution of the proposed test statistic under the high-dimensional null hypothesis and various scenarios of the alternatives, which allow power evaluations. We also evaluate the power of the F-test for models of moderate dimension. The proposed tests are employed to analyze a microarray data on Yorkshire Gilts to find significant gene ontology terms which are significantly associated with the thyroid hormone after accounting for the designs of the experiment.
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