Multigroup Equivalence Analysis for High-Dimensional Expression Data. Yang, C., Bartolucci, A. A., & Cui, X. Cancer Informatics, 14s2:CIN.S17304, January, 2015.
Multigroup Equivalence Analysis for High-Dimensional Expression Data [link]Paper  doi  abstract   bibtex   
Hypothesis tests of equivalence are typically known for their application in bioequivalence studies and acceptance sampling. Their application to gene expression data, in particular high-dimensional gene expression data, has only recently been studied. In this paper, we examine how two multigroup equivalence tests, the F-test and the range test, perform when applied to microarray expression data. We adapted these tests to a well-known equivalence criterion, the difference ratio. Our simulation results showed that both tests can achieve moderate power while controlling the type I error at nominal level for typical expression microarray studies with the benefit of easy-to-interpret equivalence limits. For the range of parameters simulated in this paper, the F-test is more powerful than the range test. However, for comparing three groups, their powers are similar. Finally, the two multigroup tests were applied to a prostate cancer microarray dataset to identify genes whose expression follows a prespecified trajectory across five prostate cancer stages.
@article{yang_multigroup_2015,
	title = {Multigroup {Equivalence} {Analysis} for {High}-{Dimensional} {Expression} {Data}},
	volume = {14s2},
	issn = {1176-9351, 1176-9351},
	url = {http://journals.sagepub.com/doi/10.4137/CIN.S17304},
	doi = {10.4137/CIN.S17304},
	abstract = {Hypothesis tests of equivalence are typically known for their application in bioequivalence studies and acceptance sampling. Their application to gene expression data, in particular high-dimensional gene expression data, has only recently been studied. In this paper, we examine how two multigroup equivalence tests, the F-test and the range test, perform when applied to microarray expression data. We adapted these tests to a well-known equivalence criterion, the difference ratio. Our simulation results showed that both tests can achieve moderate power while controlling the type I error at nominal level for typical expression microarray studies with the benefit of easy-to-interpret equivalence limits. For the range of parameters simulated in this paper, the F-test is more powerful than the range test. However, for comparing three groups, their powers are similar. Finally, the two multigroup tests were applied to a prostate cancer microarray dataset to identify genes whose expression follows a prespecified trajectory across five prostate cancer stages.},
	language = {en},
	urldate = {2019-08-13},
	journal = {Cancer Informatics},
	author = {Yang, Celeste and Bartolucci, Alfred A. and Cui, Xiangqin},
	month = jan,
	year = {2015},
	pages = {CIN.S17304}
}

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