Testing Hardy–Weinberg equilibrium with a simple root-mean-square statistic Academic Article uri icon


  • We provide evidence that, in certain circumstances, a root-mean-square test of goodness of fit can be significantly more powerful than state-of-the-art tests in detecting deviations from Hardy-Weinberg equilibrium. Unlike Pearson's $chi ^2$ test, the log-likelihood-ratio test, and Fisher's exact test, which are sensitive to relative discrepancies between genotypic frequencies, the root-mean-square test is sensitive to absolute discrepancies. This can increase statistical power, as we demonstrate using benchmark data sets and simulations, and through asymptotic analysis.

altmetric score

  • 0.5

author list (cited authors)

  • Ward, R., & Carroll, R. J.

citation count

  • 5

publication date

  • January 2014