Bayesian estimators of the intraclass correlation coefficient in the one-way random effects model

DOI10.1080/03610929908832356zbMath0941.62029OpenAlexW2060764987MaRDI QIDQ4266707

Ian R. Harris, Brent D. Burch

Publication date: 10 August 2000

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929908832356

zbMATH Keywords

variance componentsreference priorspivotal quantityREML estimatorbeta likelihood approximation

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Bayesian inference (62F15) Analysis of variance and covariance (ANOVA) (62J10)

Related Items

Bayesian estimation of log odds ratios over two-way contingency tables with intraclass correlated cells, Comparison of three-level cluster randomized trials using quantile dispersion graphs, Closed-Form Approximations to the REML Estimator of a Variance Ratio (or Heritability) in a Mixed Linear Model

Cites Work

• Unnamed Item
• Unnamed Item
• Bayesian reference prior analysis on the ratio of variances for the balanced one-way random effect model
• Selection of the reference priors for a balanced random effects model
• Invariance of the reference prior under reparametrization
• Improved Estimators for Ratios of Variance Components
• Elimination of nuisance parameters with reference priors
• Accurate Approximations for Posterior Moments and Marginal Densities
• Ordered group reference priors with application to the multinomial problem
• Marginal and conditional sufficiency
• Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
• Minimum Variance Quadratic Unbiased Estimation (MIVQUE) of Variance Components
• Inference about Variance Components in the One-Way Model
• Bayesian analysis of a three-component hierarchical design model