# Testing Hardy-Weinberg equilibrium with a simple root-mean-square statistic.

Publisher:
Oxford University Press (OUP)
Publication Type:
Journal Article
Citation:
Biostatistics, 2014, 15 (1), pp. 74 - 86
Issue Date:
2014-01
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.