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Understanding the causes of substitution rate variation is an important goal in the study of molecular evolution. It has been proposed that sperm competition intensity may affect genome-wide rates of substitution as a by-product of selection on sperm numbers. Here, I test this hypothesis by applying recently developed Bayesian methods to a data set consisting of approximately 35 kb of sequence data from 55 primate species. I find evidence for positive covariance between testes mass and the ratedoi:10.1093/molbev/msu091 pmid:24600053 fatcat:cctxhyk3xvhcha6n7mnrscc3gm