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2014 Exact prior-free probabilistic inference on the heritability coefficient in a linear mixed model
Qianshun Cheng, Xu Gao, Ryan Martin
Electron. J. Statist. 8(2): 3062-3076 (2014). DOI: 10.1214/15-EJS984

Abstract

Linear mixed-effect models with two variance components are often used when variability comes from two sources. In genetics applications, variation in observed traits can be attributed to biological and environmental effects, and the heritability coefficient is a fundamental quantity that measures the proportion of total variability due to the biological effect. We propose a new inferential model approach which yields exact prior-free probabilistic inference on the heritability coefficient. In particular we construct exact confidence intervals and demonstrate numerically our method’s efficiency compared to that of existing methods.

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Qianshun Cheng. Xu Gao. Ryan Martin. "Exact prior-free probabilistic inference on the heritability coefficient in a linear mixed model." Electron. J. Statist. 8 (2) 3062 - 3076, 2014. https://doi.org/10.1214/15-EJS984

Information

Published: 2014
First available in Project Euclid: 15 January 2015

zbMATH: 1308.62050
MathSciNet: MR3301301
Digital Object Identifier: 10.1214/15-EJS984

Subjects:
Primary: 62F25
Secondary: 62J99

Rights: Copyright © 2014 The Institute of Mathematical Statistics and the Bernoulli Society

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Vol.8 • No. 2 • 2014
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