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Since the emergence of genome-wide association studies (GWASs), estimation of the narrow sense heritability explained by common single-nucleotide polymorphisms (SNPs) via linear mixed model approaches became widely used. As in most GWASs,…

Methodology · Statistics 2015-07-31 Najla Saad Elhezzani

Heritability is a central parameter in quantitative genetics, both from an evolutionary and a breeding perspective. For plant traits heritability is traditionally estimated by comparing within and between genotype variability. This approach…

In Genome-Wide Association Studies (GWAS), heritability is defined as the fraction of variance of an outcome explained by a large number of genetic predictors in a high-dimensional polygenic linear model. This work studies the asymptotic…

Statistics Theory · Mathematics 2025-02-27 David Azriel , Samuel Davenport , Armin Schwartzman

We construct genomic predictors for heritable and extremely complex human quantitative traits (height, heel bone density, and educational attainment) using modern methods in high dimensional statistics (i.e., machine learning). Replication…

Genomics · Quantitative Biology 2017-09-20 Louis Lello , Steven G. Avery , Laurent Tellier , Ana Vazquez , Gustavo de los Campos , Stephen D. H. Hsu

The broad sense genetic heritability, which quantifies the total proportion of phenotypic variation in a population due to genetic factors, is crucial for understanding trait inheritance. While many existing methods focus on estimating…

Methodology · Statistics 2024-11-04 Olivia Bley , Elizabeth Lei , Andy Zhou , Xiaoxi Shen

Genome-wide association studies (GWAS) have identified thousands of genetic variants associated with complex traits, and some variants are shown to be associated with multiple complex traits. Genetic covariance between two traits is defined…

Methodology · Statistics 2023-10-06 Jianqiao Wang , Sai Li , Hongzhe Li

For high-dimensional linear regression models, we review and compare several estimators of variances $\tau^2$ and $\sigma^2$ of the random slopes and errors, respectively. These variances relate directly to ridge regression penalty…

Computation · Statistics 2019-02-08 Jurre R. Veerman , Gwenael G. R. Leday , Mark A. van de Wiel

Genome-wide association studies (GWAS) are commonly employed to study the genetic basis of complex traits and diseases, and a key question is how much heritability could be explained by all variants in GWAS. One widely used approach that…

Genomics · Quantitative Biology 2023-06-27 Hon-Cheong So , Xiao Xue , Pak-Chung Sham

Motivated by applications in neuroanatomy, we propose a novel methodology for estimating the heritability which corresponds to the proportion of phenotypic variance which can be explained by genetic factors. Estimating this quantity for…

Statistics Theory · Mathematics 2016-06-09 Anna Bonnet , Céline Lévy-Leduc , Elisabeth Gassiat , Roberto Toro , Thomas Bourgeron

Traditionally, heritability has been estimated using family-based methods such as twin studies. Advancements in molecular genomics have facilitated the development of alternative methods that utilise large samples of unrelated or related…

Presented here is a simple method for cross-validated genome-wide association studies (cvGWAS). Focusing on phenotype prediction, the method is able to reveal a significant amount of missing heritability by properly selecting a small number…

Quantitative Methods · Quantitative Biology 2013-08-08 Xia Shen

Genome-wide association studies (GWAS) have been widely used to examine the association between single nucleotide polymorphisms (SNPs) and complex traits, where both the sample size n and the number of SNPs p can be very large. Recently,…

Methodology · Statistics 2019-03-05 Bingxin Zhao , Hongtu Zhu

GWAS in humans are revealing the genetic architecture of biomedical and anthropomorphic traits, i.e., the frequencies and effect sizes of variants that contribute to heritable variation in a trait. To interpret these findings, we need to…

Populations and Evolution · Quantitative Biology 2018-03-29 Yuval B. Simons , Kevin Bullaughey , Richard R. Hudson , Guy Sella

Motivation: Genome-Wide Association Studies (GWAS) seek to identify causal genomic variants associated with rare human diseases. The classical statistical approach for detecting these variants is based on univariate hypothesis testing, with…

Methodology · Statistics 2018-10-22 Florent Guinot , Marie Szafranski , Christophe Ambroise , Franck Samson

Genomic data arising from a genome-wide association study (GWAS) are often not only of large-scale, but also incomplete. A specific form of their incompleteness is missing values with non-ignorable missingness mechanism. The intrinsic…

Methodology · Statistics 2021-11-11 Siru Wang , Guoqi Qian

In genome-wide association studies (GWAS), hundreds of thousands of genetic markers (SNPs) are tested for association with a trait or phenotype. Reported effects tend to be larger in magnitude than the true effects of these markers, the…

Methodology · Statistics 2010-10-25 Michael E. Goddard , Naomi R. Wray , Klara Verbyla , Peter M. Visscher

In the analysis of complex traits, genetic effects are frequently modelled as either fixed or random effects. Such assumptions serve as a foundation of defining heritability and relatedness using genome-wide single nucleotide polymorphism…

Populations and Evolution · Quantitative Biology 2023-04-28 Hanbin Lee

To date, efforts to produce high-quality polygenic risk scores from genome-wide studies of common disease have focused on estimating and aggregating the effects of multiple SNPs. Here we propose a novel statistical approach for genetic risk…

Quantitative Methods · Quantitative Biology 2014-05-13 David Golan , Saharon Rosset

Background: Heritability is a central measure in genetics quantifying how much of the variability observed in a trait is attributable to genetic differences. Existing methods for estimating heritability are most often based on random-effect…

Applications · Statistics 2022-08-26 The Tien Mai , Paul Turner , Jukka Corander

Imaging genetic studies aim to find associations between genetic variants and imaging quantitative traits. Traditional genome-wide association studies (GWAS) are based on univariate statistical tests, but when multiple traits are analyzed…

Genomics · Quantitative Biology 2022-04-04 Muhammad Ammar Malik , Alexander S. Lundervold , Tom Michoel
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