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Related Concept Videos

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Related Experiment Video

Updated: Jul 6, 2026

An Allele-specific Gene Expression Assay to Test the Functional Basis of Genetic Associations
10:17

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Published on: November 3, 2010

A note on allelic tests in case-control association studies.

M Guedj1, G Nuel, B Prum

  • 1Statistics and Genome laboratory, CNRS UMR 8071, INRA U 1152, University of Evry, France. guedj@genopole.cnrs.fr

Annals of Human Genetics
|March 22, 2008
PubMed
Summary

This study clarifies the bias in allele-based tests for genetic association studies when populations deviate from Hardy-Weinberg equilibrium. It proves the asymptotic equivalence of chi-square and Cochran-Armitage trend tests, offering alternatives to the widely used biased allelic test.

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Area of Science:

  • Genetics
  • Statistical Genetics
  • Bioinformatics

Background:

  • Allele-based tests are common in genetic association studies.
  • The classical chi-square test for allelic contingency tables can be biased if the population is not in Hardy-Weinberg equilibrium.
  • Sasieni highlighted this bias and suggested the Cochran-Armitage trend test as an alternative.

Purpose of the Study:

  • To rigorously prove the asymptotic equivalence between allele-based chi-square tests and the Cochran-Armitage trend test.
  • To address the limitations in Sasieni's original argument regarding asymptotic behavior.
  • To discuss alternatives to the biased allelic test in genetic association studies.

Main Methods:

  • Mathematical proof of asymptotic equivalence between allelic and trend statistics.
  • Analysis of statistical tests under conditions of Hardy-Weinberg disequilibrium.
  • Review of subsequent alternative statistical methods.

Main Results:

  • Formal proof demonstrating the asymptotic equivalence of allele-based and trend statistics under specified conditions.
  • Confirmation that the chi-square test is indeed biased when Hardy-Weinberg equilibrium is not met.
  • Validation of the Cochran-Armitage test's utility as a more robust alternative.

Conclusions:

  • The study provides a formal proof for the asymptotic equivalence of key statistical tests in genetic association studies.
  • It reinforces the need to address Hardy-Weinberg disequilibrium when selecting statistical tests.
  • It contributes to the ongoing development of accurate methods for genetic association analysis.