Bayesian Measures of Explained Variance and Pooling in Multilevel (Hierarchical) Models
- 1 May 2006
- journal article
- Published by Taylor & Francis in Technometrics
- Vol. 48 (2) , 241-251
- https://doi.org/10.1198/004017005000000517
Abstract
Explained variance (R2) is a familiar summary of the fit of a linear regression and has been generalized in various ways to multilevel (hierarchical) models. The multilevel models that we consider ...Keywords
All Related Versions
This publication has 14 references indexed in Scilit:
- Decomposing posterior varianceJournal of Statistical Planning and Inference, 2004
- Partitioning Variation in Multilevel ModelsUnderstanding Statistics, 2002
- Counting degrees of freedom in hierarchical and other richly-parameterised modelsBiometrika, 2001
- On measures of explained variance in nonrecursive structural equation models.Journal of Applied Psychology, 2000
- Analysis of Local Decisions Using Hierarchical Modeling, Applied to Home Radon Measurement and RemediationStatistical Science, 1999
- Some Algebra and Geometry for Hierarchical Models, Applied to DiagnosticsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1998
- Estimating a Population of Parameter Values Using Bayes and Empirical Bayes MethodsJournal of the American Statistical Association, 1984
- Parametric Empirical Bayes Inference: Theory and ApplicationsJournal of the American Statistical Association, 1983
- Data Analysis Using Stein's Estimator and its GeneralizationsJournal of the American Statistical Association, 1975
- The Coefficient of Determination-Some LimitationsThe American Statistician, 1974