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

DOI10.1214/15-EJS984zbMath1308.62050arXiv1406.3521MaRDI QIDQ489166

Xu Gao, Qianshun Cheng, Ryan Martin

Publication date: 27 January 2015

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3521

zbMATH Keywords

differential equationvariance componentsinferential modelplausibilityunbalanced design

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Generalized linear models (logistic models) (62J12)

Related Items (3)

Confidence distribution inferences in one-way random effects model ⋮ Evolutionary State-Space Model and Its Application to Time-Frequency Analysis of Local Field Potentials ⋮ False confidence, non-additive beliefs, and valid statistical inference

Uses Software

• BayesDA

Cites Work

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• Generalized fiducial inference for normal linear mixed models
• Exact confidence sets for variance components in unbalanced mixed linear models
• Invariant quadratic unbiased estimation for two variance components
• Random sets and exact confidence regions
• The Dempster-Shafer calculus for statisticians
• Fiducial Intervals for Variance Components in an Unbalanced Two-Component Normal Mixed Linear Model
• Variance Components Analysis: A Selective Literature Survey
• Confidence Intervals for a Variance Ratio, or for Heritability, in an Unbalanced Mixed Linear Model
• Computing the Wald Interval for a Variance Ratio
• Exact Confidence Intervals for a Variance Ratio (or Heritability) in a Mixed Linear Model
• Nonconjugate Bayesian Analysis of Variance Component Models
• Inferential Models: A Framework for Prior-Free Posterior Probabilistic Inference
• Generalized Fiducial Inference via Discretization
• Marginal Inferential Models: Prior-Free Probabilistic Inference on Interest Parameters
• Computation of a Multivariate F Distribution
• A Note on the Analysis of Variance with Unequal Class Frequencies
• Prior distributions for variance parameters in hierarchical models (Comment on article by Browne and Draper)

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