We consider the analysis of multiple single nucleotide polymorphisms (SNPs) within a gene or region. The simplest analysis of such data is based on a series of single SNP hypothesis tests, followed by correction for multiple testing, but it is intuitively plausible that a joint analysis of the SNPs will have higher power, particularly when the causal locus may not have been observed. However, standard tests, such as a likelihood ratio test based on an unrestricted alternative hypothesis, tend to have large numbers of degrees of freedom and hence low power. This has motivated a number of alternative test statistics. Here we compare several of the competing methods, including the multivariate score test (Hotelling's test) of Chapman et al. ([ 2003 ] Hum. Hered. 56:18–31), Fisher's method for combining P‐values, the minimum P‐value approach, a Fourier‐transform‐based approach recently suggested by Wang and Elston ([ 2007 ] Am. J. Human Genet. 80:353–360) and a Bayesian score statistic proposed for microarray data by Goeman et al. ([ 2005 ] J. R. Stat. Soc. B 68:477–493). Some relationships between these methods are pointed out, and simulation results given to show that the minimum P‐value and the Goeman et al. ([ 2005 ] J. R. Stat. Soc. B 68:477–493) approaches work well over a range of scenarios. The Wang and Elston approach often performs poorly; we explain why, and show how its performance can be substantially improved. Genet. Epidemiol. 2008. © 2008 Wiley‐Liss, Inc.
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