Evidence map›Paper›PMID 24204578›Full record

ArticlePloS one2013

Correcting for population structure and kinship using the linear mixed model: theory and extensions.

Gabriel E Hoffman

Erratum issuedAbstract read
In one paragraph

Article in PloS one, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 62 papers.

0numbers the graph read from it
0cells of the map it votes in
62citing papers in PubMed
–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

62 citing papers in PubMed.

  1. Article
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  11. A Litmus Test for Confounding in Polygenic Scores.bioRxiv : the preprint server for biology · 2025
    Article
  12. Review
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  14. Review
  15. Article
  16. Detecting inbreeding depression in structured populations.Proceedings of the National Academy of Sciences of the United States of America · 2024
    Article
  17. Article
  18. Article
  19. Bayesian LASSO for population stratification correction in rare haplotype association studies.Statistical applications in genetics and molecular biology · 2024
    Article
  20. Article

2 more citing papers are in PubMed but not listed here.

4 · The record

Corrections and comments

5 · Who and what money

Authors and funding

1 author.

Gabriel E HoffmanDepartment of Biological Statistics and Computational Biology, Cornell University, Ithaca, New York, United States of America.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Population structure and kinship are widespread confounding factors in genome-wide association studies (GWAS). It has been standard practice to include principal components of the genotypes in a regression model in order to account for population structure. More recently, the linear mixed model (LMM) has emerged as a powerful method for simultaneously accounting for population structure and kinship. The statistical theory underlying the differences in empirical performance between modeling principal components as fixed versus random effects has not been thoroughly examined. We undertake an analysis to formalize the relationship between these widely used methods and elucidate the statistical properties of each. Moreover, we introduce a new statistic, effective degrees of freedom, that serves as a metric of model complexity and a novel low rank linear mixed model (LRLMM) to learn the dimensionality of the correction for population structure and kinship, and we assess its performance through simulations. A comparison of the results of LRLMM and a standard LMM analysis applied to GWAS data from the Multi-Ethnic Study of Atherosclerosis (MESA) illustrates how our theoretical results translate into empirical properties of the mixed model. Finally, the analysis demonstrates the ability of the LRLMM to substantially boost the strength of an association for HDL cholesterol in Europeans.

Indexed as

Models, GeneticModels, StatisticalAlgorithmsAtherosclerosisChromosomes, Human, Pair 8Computer SimulationEuropeGenetics, PopulationGenome-Wide Association StudyHumansLinkage DisequilibriumPopulation GroupsWhite People

Identifiers

PMID24204578
PMCPMC3810480

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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.