We consider the analysis of multiple 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], Fisher's method for combining p-values, the minimum p-value approach, a Fourier transform based approach recently suggested by Wang and Elston [2007] and a Bayesian score statistic proposed for microarray data by Goeman et al. [2005]. 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] 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.