Accurate and efficient estimation of local heritability using summary statistics and the linkage disequilibrium matrix

Abstract Existing SNP-heritability estimators that leverage summary statistics from genome-wide association studies (GWAS) are much less efficient (i.e., have larger standard errors) than the restricted maximum likelihood (REML) estimators which require access to individual-level data. We introduce...

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Main Authors: Hui Li, Rahul Mazumder, Xihong Lin
Format: Article
Language:English
Published: Nature Portfolio 2023-12-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-023-43565-9
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author Hui Li
Rahul Mazumder
Xihong Lin
author_facet Hui Li
Rahul Mazumder
Xihong Lin
author_sort Hui Li
collection DOAJ
description Abstract Existing SNP-heritability estimators that leverage summary statistics from genome-wide association studies (GWAS) are much less efficient (i.e., have larger standard errors) than the restricted maximum likelihood (REML) estimators which require access to individual-level data. We introduce a new method for local heritability estimation—Heritability Estimation with high Efficiency using LD and association Summary Statistics (HEELS)—that significantly improves the statistical efficiency of summary-statistics-based heritability estimator and attains comparable statistical efficiency as REML (with a relative statistical efficiency >92%). Moreover, we propose representing the empirical LD matrix as the sum of a low-rank matrix and a banded matrix. We show that this way of modeling the LD can not only reduce the storage and memory cost, but also improve the computational efficiency of heritability estimation. We demonstrate the statistical efficiency of HEELS and the advantages of our proposed LD approximation strategies both in simulations and through empirical analyses of the UK Biobank data.
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spelling doaj.art-7d80341d2a6e42138688ff62b3370b4e2023-12-03T12:28:46ZengNature PortfolioNature Communications2041-17232023-12-0114111310.1038/s41467-023-43565-9Accurate and efficient estimation of local heritability using summary statistics and the linkage disequilibrium matrixHui Li0Rahul Mazumder1Xihong Lin2Harvard T.H. Chan School of Public Health, Department of BiostatisticsMassachusetts Institute of Technology, Operations Research and Statistics groupHarvard T.H. Chan School of Public Health, Department of BiostatisticsAbstract Existing SNP-heritability estimators that leverage summary statistics from genome-wide association studies (GWAS) are much less efficient (i.e., have larger standard errors) than the restricted maximum likelihood (REML) estimators which require access to individual-level data. We introduce a new method for local heritability estimation—Heritability Estimation with high Efficiency using LD and association Summary Statistics (HEELS)—that significantly improves the statistical efficiency of summary-statistics-based heritability estimator and attains comparable statistical efficiency as REML (with a relative statistical efficiency >92%). Moreover, we propose representing the empirical LD matrix as the sum of a low-rank matrix and a banded matrix. We show that this way of modeling the LD can not only reduce the storage and memory cost, but also improve the computational efficiency of heritability estimation. We demonstrate the statistical efficiency of HEELS and the advantages of our proposed LD approximation strategies both in simulations and through empirical analyses of the UK Biobank data.https://doi.org/10.1038/s41467-023-43565-9
spellingShingle Hui Li
Rahul Mazumder
Xihong Lin
Accurate and efficient estimation of local heritability using summary statistics and the linkage disequilibrium matrix
Nature Communications
title Accurate and efficient estimation of local heritability using summary statistics and the linkage disequilibrium matrix
title_full Accurate and efficient estimation of local heritability using summary statistics and the linkage disequilibrium matrix
title_fullStr Accurate and efficient estimation of local heritability using summary statistics and the linkage disequilibrium matrix
title_full_unstemmed Accurate and efficient estimation of local heritability using summary statistics and the linkage disequilibrium matrix
title_short Accurate and efficient estimation of local heritability using summary statistics and the linkage disequilibrium matrix
title_sort accurate and efficient estimation of local heritability using summary statistics and the linkage disequilibrium matrix
url https://doi.org/10.1038/s41467-023-43565-9
work_keys_str_mv AT huili accurateandefficientestimationoflocalheritabilityusingsummarystatisticsandthelinkagedisequilibriummatrix
AT rahulmazumder accurateandefficientestimationoflocalheritabilityusingsummarystatisticsandthelinkagedisequilibriummatrix
AT xihonglin accurateandefficientestimationoflocalheritabilityusingsummarystatisticsandthelinkagedisequilibriummatrix