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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

In the field of genetics, the concept of heritability refers to the proportion of variations of a biological trait or disease that can be explained by genetic factors. Quantifying the heritability of a disease is a fundamental challenge in…

Statistics Theory · Mathematics 2016-11-10 Anna Bonnet

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

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…

Estimating heritability remains a significant challenge in statistical genetics. Diverse approaches have emerged over the years that are broadly categorized as either random effects or fixed effects heritability methods. In this work, we…

Methodology · Statistics 2024-06-18 Yanke Song , Xihong Lin , Pragya Sur

Motivated by applications in genetic fields, we propose to estimate the heritability in high dimensional sparse linear mixed models. The heritability determines how the variance is shared between the different random components of a linear…

Statistics Theory · Mathematics 2015-05-07 Anna Bonnet , Elisabeth Gassiat , Céline Lévy-Leduc

Genome-Wide Association Studies (GWAS) explain only a small fraction of heritability for most complex human phenotypes. Genomic heritability estimates the variance explained by the SNPs on the whole genome using mixed models and accounts…

Heritability is a central concept in the long-standing debate about nature versus nurture in biological and social sciences. However, existing notions of heritability are based on strong assumptions and do not use explicit causal models. We…

Applications · Statistics 2026-05-26 Haochen Lei , Jieru Shi , Hongyuan Cao , Qingyuan Zhao

In genetic studies of complex diseases, the underlying mode of inheritance is often not known. Thus, the most powerful test or other optimal procedure for one model, e.g. recessive, may be quite inefficient if another model, e.g. dominant,…

Statistics Theory · Mathematics 2007-06-13 Gang Zheng , Boris Freidlin , Joseph L. Gastwirth

Genotyping errors are known to influence the power of both family-based and case-control studies in the genetics of complex disease. Estimating genotyping error rate in a given dataset can be complex, but when family information is…

Quantitative Methods · Quantitative Biology 2011-09-08 Luke Jostins

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

We propose a metric which can be used to compute the amount of heritable variation enabled by a given dynamical system. A distribution of selection pressures is used such that each pressure selects a particular fixed point via competitive…

Populations and Evolution · Quantitative Biology 2017-02-08 Nicholas Guttenberg , Matthieu Laneuville , Melissa Ilardo , Nathanael Aubert-Kato

Family studies provide an important tool for understanding etiology of diseases, with the key aim of discovering evidence of family aggregation and to determine if such aggregation can be attributed to genetic components. Heritability and…

Methodology · Statistics 2015-01-27 Klaus K. Holst , Thomas H. Scheike , Jacob B. Hjelmborg

The study of common heritability, or co-heritability, among multiple traits has been widely established in quantitative and molecular genetics. However, in bacteria, genome-based estimation of heritability has only been considered very…

Genomics · Quantitative Biology 2023-02-23 T. Tien Mai , Gerry Tonkin-Hill , John A. Lees , Jukka Corander

In the field of evolutionary robotics, choosing the correct encoding is very complicated, especially when robots evolve both behaviours and morphologies at the same time. With the objective of improving our understanding of the mapping…

Neural and Evolutionary Computing · Computer Science 2021-10-22 Matteo De Carlo , Eliseo Ferrante , Daan Zeeuwe , Jacintha Ellers , Gerben Meynen , A. E. Eiben

It is increasingly recognized that participation bias can pose problems for genetic studies. Recently, to overcome the challenge that genetic information of non-participants is unavailable, it is shown that by comparing the IBD (identity by…

Methodology · Statistics 2024-11-22 Shuang Song , Stefania Benonisdottir , Jun S. Liu , Augustine Kong

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

Diagnosing an inherited disease often requires identifying the pattern of inheritance in a patient's family. We represent family trees with genetic patterns of inheritance using hypergraphs and latent state space models to provide…

Machine Learning · Statistics 2018-12-06 Edmond Cunningham , Dana Schlegel , Andrew DeOrio

One of the major developments in recent years in the search for missing heritability of human phenotypes is the adoption of linear mixed-effects models (LMMs) to estimate heritability due to genetic variants which are not significantly…

Populations and Evolution · Quantitative Biology 2013-05-28 David Golan , Saharon Rosset

Observed differences in mean phenotypic values across human groups have attracted renewed interest with the rise of large-scale genomic studies and polygenic risk prediction. However, the genetic basis of these differences is far more…

Populations and Evolution · Quantitative Biology 2026-05-25 Nicole Kleman , Meng Lin , Christopher R. Gignoux , Arslan A. Zaidi
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