Math @ Duke
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Publications [#351377] of Jichun Xie
Papers Published
- Xie, J; Cai, TT; Li, H, Sample size and power analysis for sparse signal recovery in genome-wide association studies.,
Biometrika, vol. 98 no. 2
(June, 2011),
pp. 273-290 [doi]
(last updated on 2024/04/19)
Abstract: Genome-wide association studies have successfully identified hundreds of novel genetic variants associated with many complex human diseases. However, there is a lack of rigorous work on evaluating the statistical power for identifying these variants. In this paper, we consider sparse signal identification in genome-wide association studies and present two analytical frameworks for detailed analysis of the statistical power for detecting and identifying the disease-associated variants. We present an explicit sample size formula for achieving a given false non-discovery rate while controlling the false discovery rate based on an optimal procedure. Sparse genetic variant recovery is also considered and a boundary condition is established in terms of sparsity and signal strength for almost exact recovery of both disease-associated variants and nondisease-associated variants. A data-adaptive procedure is proposed to achieve this bound. The analytical results are illustrated with a genome-wide association study of neuroblastoma.
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