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MAX-rank: a simple and robust genome-wide scan for case-control association studies
Authors:Qizhai Li  Kai Yu  Zhaohai Li  Gang Zheng
Affiliation:(1) Biostatistics Branch, National Cancer Institute, Bethesda, MD 20892, USA;(2) Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100080 Beijing, China;(3) Department of Statistics, George Washington University, Washington, DC 20052, USA;(4) Biometry and Mathematical Statistics Branch, National Institute of Child Health and Human Development, Rockville, MD 20852, USA;(5) Office of Biostatistics Research, National Heart, Lung and Blood Institute, 6701 Rockledge Drive, MSC 7913, Bethesda, MD 20892, USA;
Abstract:In genome-wide association studies (GWAS), single-marker analysis is usually employed to identify the most significant single nucleotide polymorphisms (SNPs). The trend test has been proposed for analysis of case-control association. Three trend tests, optimal for the recessive, additive and dominant models respectively, are available. When the underlying genetic model is unknown, the maximum of the three trend test results (MAX) has been shown to be robust against genetic model misspecification. Since the asymptotic distribution of MAX depends on the allele frequency of the SNP, using the P-value of MAX for ranking may be different from using the MAX statistic. Calculating the P-value of MAX for 300,000 (300 K) or more SNPs is computationally intensive and the software and program to obtain the P-value of MAX are not widely available. On the other hand, the MAX statistic is very easy to calculate without complex computer programs. Thus, we study whether or not one could use the MAX statistic instead of its P-value to rank SNPs in GWAS. The approaches using the MAX and its P-value to rank SNPs are referred to as MAX-rank and P-rank. By applying MAX-rank and P-rank to simulated and four real datasets from GWAS, we found the ranks of SNPs with true association are very similar using both approaches. Thus, we recommend to use MAX-rank for genome-wide scans. After the top-ranked SNPs are identified, their P-values based on MAX can be calculated and compared with the significance level. The work of Q. Li was partially supported by the Knowledge Innovation Program of the Chinese Academy of Sciences, No. 30465W0 and 30475V0. The research of Z Li was partially sponsored by NIH grant EY014478.
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