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Genetic Relationship Matrix (GRM)

Definition
AI-generated

The genetic relationship matrix (GRM) is an n×n symmetric matrix whose (i,j) entry is twice the kinship coefficient between individuals i and j in many conventions (so unrelated pairs are near 0 and the diagonal reflects self-relatedness).

Why it matters in GWAS

The GRM lets LMMs account for population structure and cryptic relatedness jointly; it is also used in SNP-heritability estimation (GREML) and can be eigendecomposed for related PCA approaches.

Example usage

"We computed the GCTA GRM with a 0.05 MAF filter and used it in GEMMA for association testing."

References

  • Yang J, et al. (2011). GCTA: a tool for genome-wide complex trait analysis. Am J Hum Genet.
  • GWASTutorial: Sample PCA.

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