Closed-Form Approximations to the REML Estimator of a Variance Ratio (or Heritability) in a Mixed Linear Model

DOI10.1111/j.0006-341X.2001.01148.xzbMath1209.62154WikidataQ52049319 ScholiaQ52049319MaRDI QIDQ3078877

Ian R. Harris, Brent D. Burch

Publication date: 1 March 2011

Published in: Biometrics (Search for Journal in Brave)

zbMATH Keywords

asymptotic relative efficiencyvariance componentsintraclass correlation coefficient

Mathematics Subject Classification ID

Related Items (8)

A family of unbiased confidence intervals for a ratio of variance components ⋮ Approximate ML and REML estimation for regression models with spatial or time series AR(1) noise. ⋮ Assessing the performance of normal-based and REML-based confidence intervals for the intraclass correlation coefficient ⋮ Optimal One-Way Random Effects Designs for the Intraclass Correlation Based on Confidence Intervals ⋮ Nonparametric bootstrap confidence intervals for variance components applied to interlaboratory comparisons ⋮ Comparing pivotal and REML-based confidence intervals for heritability ⋮ Confidence intervals for variance components in unbalanced one-way random effects model using non-normal distributions ⋮ Interval estimation of variance ratio in non-normal unbalanced one-way random models

Cites Work

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• Confidence Intervals for a Variance Ratio, or for Heritability, in an Unbalanced Mixed Linear Model
• The Problem of Negative Estimates of Variance Components
• A Simple Method for Computing the Inverse of a Numerator Relationship Matrix Used in Prediction of Breeding Values
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• Invariant Quadratic Estimators in the Random, One-Way ANOVA Model
• Bayesian estimators of the intraclass correlation coefficient in the one-way random effects model
• Exact Confidence Intervals for a Variance Ratio (or Heritability) in a Mixed Linear Model
• Bayesian inference for variance components using only error contrasts
• Recovery of inter-block information when block sizes are unequal

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