Electronic Journal of Statistics

Exact prior-free probabilistic inference on the heritability coefficient in a linear mixed model

Qianshun Cheng, Xu Gao, and Ryan Martin

Full-text: Open access

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.

Article information

Source
Electron. J. Statist., Volume 8, Number 2 (2014), 3062-3076.

Dates
First available in Project Euclid: 15 January 2015

Permanent link to this document
https://projecteuclid.org/euclid.ejs/1421330630

Digital Object Identifier
doi:10.1214/15-EJS984

Mathematical Reviews number (MathSciNet)
MR3301301

Zentralblatt MATH identifier
1308.62050

Subjects
Primary: 62F25: Tolerance and confidence regions
Secondary: 62J99: None of the above, but in this section

Keywords
Differential equation inferential model plausibility unbalanced design variance components

Citation

Cheng, Qianshun; Gao, Xu; Martin, Ryan. Exact prior-free probabilistic inference on the heritability coefficient in a linear mixed model. Electron. J. Statist. 8 (2014), no. 2, 3062--3076. doi:10.1214/15-EJS984. https://projecteuclid.org/euclid.ejs/1421330630


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