A family of unbiased confidence intervals for a ratio of variance components

DOI10.1016/j.spl.2020.108965zbMath1455.62136OpenAlexW3092521112MaRDI QIDQ826715

Brent D. Burch

Publication date: 6 January 2021

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2020.108965

zbMATH Keywords

linear mixed modelsexpected lengthfalse coverage probability

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Linear regression; mixed models (62J05) Exact distribution theory in statistics (62E15)

Uses Software

• nleqslv

Cites Work

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• Comparing pivotal and REML-based confidence intervals for heritability
• Closed-Form Approximations to the REML Estimator of a Variance Ratio (or Heritability) in a Mixed Linear Model
• Length of Confidence Intervals
• Confidence Intervals for a Variance Ratio, or for Heritability, in an Unbalanced Mixed Linear Model
• A Simple Method for Computing the Inverse of a Numerator Relationship Matrix Used in Prediction of Breeding Values
• An Exact Test for the Presence of Random Walk Coefficients in a Linear Regression Model
• Exact Confidence Intervals for a Variance Ratio (or Heritability) in a Mixed Linear Model
• Models and Confidence Intervals for True Values in Interlaboratory Trials
• Comparing Equal-Tail Probability and Unbiased Confidence Intervals for the Intraclass Correlation Coefficient
• On the Relation Among Shortest Confidence Intervals of Different Types
• Numerical inversion of a characteristic function

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