Evidence map›Paper›PMID 19459838›Full record

ArticleBiometrics2010

Bayesian methods for examining Hardy-Weinberg equilibrium.

Jon Wakefield

Abstract read
In one paragraph

Article in Biometrics, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers, 1 of them a synthesis that pooled it.

0numbers the graph read from it
0cells of the map it votes in
15citing papers in PubMed, 1 pooled it
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

15 citing papers in PubMed, 1 synthesis or guideline pooled it.

  1. Interleukin-8 Gene -251 A/T (rs4073) Polymorphism and Coronary Artery Disease Risk: A Meta-Analysis.Medical science monitor : international medical journal of experimental and clinical research · 2019
    Pooled it
  2. International journal of molecular sciences · 2026
    Article
  3. Tests for segregation distortion in tetraploid F1 populations.TAG. Theoretical and applied genetics. Theoretische und angewandte Genetik · 2025
    Article
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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

1 author.

Jon WakefieldDepartment of Statistics, University of Washington, Box 357232, Seattle, Washington 98195-7232, USA. jonno@u.washington.edu

Funding

Genome Wide Association Coordinating CenterU01HG004446 · NHGRI · UNIVERSITY OF WASHINGTON · PI WEIR, BRUCE S. · 2007 to 2011
$6.6M
NHGRI NIH HHS 1 U01-HG004446-01NHGRI NIH HHS U01 HG004446
6 · The paper itself

Abstract

Testing for Hardy-Weinberg equilibrium is ubiquitous and has traditionally been carried out via frequentist approaches. However, the discreteness of the sample space means that uniformity of p-values under the null cannot be assumed, with enumeration of all possible counts, conditional on the minor allele count, offering a computationally expensive way of p-value calibration. In addition, the interpretation of the subsequent p-values, and choice of significance threshold depends critically on sample size, because equilibrium will always be rejected at conventional levels with large sample sizes. We argue for a Bayesian approach using both Bayes factors, and the examination of posterior distributions. We describe simple conjugate approaches, and methods based on importance sampling Monte Carlo. The former are convenient because they yield closed-form expressions for Bayes factors, which allow their application to a large number of single nucleotide polymorphisms (SNPs), in particular in genome-wide contexts. We also describe straightforward direct sampling methods for examining posterior distributions of parameters of interest. For large numbers of alleles at a locus we resort to Markov chain Monte Carlo. We discuss a number of possibilities for prior specification, and apply the suggested methods to a number of real datasets.

Indexed as

AlgorithmsBayes TheoremData Interpretation, StatisticalModels, GeneticBiometryComputer SimulationEpidemiologic MethodsGenetic MarkersGenetic Predisposition to DiseaseHumansGenetic Markers

Identifiers

PMID19459838
PMCPMC4535922

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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.