Comparing pivotal and REML-based confidence intervals for heritability

DOI10.1198/108571107X250526zbMath1306.62170OpenAlexW2078271811MaRDI QIDQ2259830

Brent D. Burch

Publication date: 5 March 2015

Published in: Journal of Agricultural, Biological, and Environmental Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1198/108571107x250526

zbMATH Keywords

variance componentslinear mixed modelsexact and asymptotic results

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Applications of statistics to biology and medical sciences; meta analysis (62P10) Generalized linear models (logistic models) (62J12) Genetics and epigenetics (92D10) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (3)

A family of unbiased confidence intervals for a ratio of variance components ⋮ Confidence distribution inferences in one-way random effects model ⋮ A confidence distribution approach to inferring the among-group variance component in one-way random effects model with unequal error variances

Cites Work

• REML estimation: Asymptotic behavior and related topics
• Closed-Form Approximations to the REML Estimator of a Variance Ratio (or Heritability) in a Mixed Linear Model
• Confidence Intervals for a Variance Ratio, or for Heritability, in an Unbalanced Mixed Linear Model
• A Comparison of Variance Component Estimates for Arbitrary Underlying Distributions
• A Simple Method for Computing the Inverse of a Numerator Relationship Matrix Used in Prediction of Breeding Values
• Exact Confidence Intervals for a Variance Ratio (or Heritability) in a Mixed Linear Model
• Likelihood inference for small variance components
• Models and Confidence Intervals for True Values in Interlaboratory Trials
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