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Hypothesis Testing In Normal Admixture Models To Detect Heterogeneous Genetic Signals, Qian Fan, Richard Charnigo, Zohreh Talebizadeh, Hongying Dai

Manuscripts, Articles, Book Chapters and Other Papers

In this work we consider a three-component normal mixture model in which one component is known to have mean zero and the other two contaminating components have a nonnegative and a nonpositive mean respectively, while all three components share a common unknown variance parameter. One potential application of this model may be in prioritizing statistical scores obtained in biological experiments, including genetics data. Such a mixture model may be useful in describing the distribution of numerous Z test statistics corresponding to different genes or SNPs, such that a “significant” Z test statistic for a particular gene suggests its connection to …