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Biostatistics. 2014 Jan;15(1):74-86. doi: 10.1093/biostatistics/kxt028. Epub 2013 Aug 22.

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

Author information

1
Department of Mathematics, RLM 10.144, University of Texas at Austin, 2515 Speedway, Austin, TX 78712, USA.

Abstract

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.

KEYWORDS:

Absolute discrepancies; Hardy–Weinberg equilibrium; Relative discrepancies; Root mean square

PMID:
23975799
DOI:
10.1093/biostatistics/kxt028
[Indexed for MEDLINE]

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