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Updated: Jul 5, 2026

Large-Scale Multi-Omics Genome-Wide Association Studies (Mo-GWAS): Guidelines for Sample Preparation and Normalization
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Published on: July 27, 2021

Linkage disequilibrium and association mapping.

B S Weir1

  • 1Department of Biostatistics, University of Washington Seattle, WA 98195-7232, USA.

Annual Review of Genomics and Human Genetics
|May 29, 2008
PubMed
Summary
This summary is machine-generated.

Linkage disequilibrium quantifies allele associations at different genetic loci. The correlation coefficient (rho) influences genetic association tests, with additive variance components modified by rho squared and nonadditive by rho to the fourth power.

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A Pathway Association Study Tool for GWAS Analyses of Metabolic Pathway Information
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A Pathway Association Study Tool for GWAS Analyses of Metabolic Pathway Information

Published on: July 1, 2020

Area of Science:

  • Population Genetics
  • Statistical Genetics
  • Genetic Epidemiology

Background:

  • Linkage disequilibrium (LD) describes the non-random association of alleles at different loci within a population.
  • Understanding LD is crucial for genetic association studies, particularly in identifying disease-related genetic variants.
  • The correlation coefficient (rho) is a key parameter in quantifying LD and its impact on statistical tests.

Purpose of the Study:

  • To explore the mathematical relationship between linkage disequilibrium and association tests for genetic diseases.
  • To elucidate the role of the correlation coefficient (rho) in modifying variance components within association analyses.
  • To assess the relative influence of additive and nonadditive genetic effects on the power of association tests.

Main Methods:

  • Defined linkage disequilibrium as the covariance of indicator variables for allele states at two loci.
  • Derived the correlation coefficient (rho) as a measure of pairwise allele association.
  • Analyzed the mathematical expressions for association tests, incorporating additive and nonadditive genetic variance components.

Main Results:

  • The correlation coefficient (rho) naturally arises in the context of association tests between genetic markers and diseases.
  • Additive variance components in association tests are modified by rho squared (rho^2).
  • Nonadditive variance components are modified by rho to the fourth power (rho^4), indicating a diminished influence compared to additive effects.

Conclusions:

  • The correlation coefficient (rho) plays a significant role in the statistical framework of genetic association studies.
  • Nonadditive genetic effects have a proportionally smaller impact on association test outcomes than additive effects due to the rho^4 modification.
  • This quantitative understanding of LD's influence refines the interpretation of genetic association study results.