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Regression Analysis and Linear Models

An Empirical Study of Statistical Properties of Variance Partition Coefficients for Multi-Level Logistic Regression Models

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Pages 2010-2026 | Received 20 Nov 2007, Accepted 22 Jul 2008, Published online: 20 Oct 2008

References

  • Barndorff-Nielsen , O. E. , Cox , D. R. ( 1989 ). Asymptotic Techniques for Use in Statistics . London : Chapman & Hall , p. 5868 .
  • Bartholomew , D. J. , Knott , M. ( 1999 ). Latent Variable Models and Factor Analysis . London : Edward Arnold .
  • Bates , D. M. ( 2007 ). Theory and computational methods for mixed models. Manuscript available online at http://www.stat.wisc.edu/~bates .
  • Bates , D. M. , DebRoy , S. ( 2004 ). Linear mixed models and penalized least squares . Journal of Multivariate Analysis 91 : 1 – 17 .
  • Breslow , N. E. , Clayton , D. G. ( 1993 ). Approximate inference in generalized linear mixed models . Journal of the American Statistical Association 88 : 9 – 25 .
  • Browne , W. J. , Subramanian , S. V. , Jones , K. , Goldstein , H. ( 2005 ). Variance partitioning in multilevel logistic models that exhibit overdispersion . Journal of the Royal Statistical Society A 168 : 599 – 613 .
  • Bryk , A. S. , Raudenbush , S. W. ( 1992 ). Hierarchical Linear Models: Applications and Data Analysis Methods . Newbury Park : Sage .
  • Fitzmaurice , G. M. , Laird , N. M. , Ware , J. H. ( 2003 ). Applied Longitudinal Analysis . New York : John Wiley & Sons .
  • Gelman , A. ( 2006 ). Prior distributions for variance parameters in hierarchical models . Bayesian Analysis 1 : 515 – 533 .
  • Gelman , A. , Pardoe , I. ( 2006 ). Bayesian measures of explained variance and pooling in multilevel (hierarchical) models . Technometrics 48 : 241 – 251 .
  • Gelman , A. , Pardoe , I. ( 2007 ). Average predictive comparisons for models with nonlinearity, interactions, and variance components . To appear in Sociological Methodology .
  • Gelman , A. , Carlin , J. B. , Stern , H. S. , Rubin , D. B. ( 2003 ). Bayesian Data Analysis. 2nd ed . London : Chapman & Hall .
  • Goldstein , H. ( 1991 ). Nonlinear multilevel models with an application to discrete response data . Biometrika 78 : 45 – 51 .
  • Goldstein , H. ( 2003 ). Multilevel Statistical Models. 3rd ed . London : Edward Arnold .
  • Goldstein , H. , Rasbash , J. (1996). Improved approximations for multilevel models with binary responses. Journal of Royal Statistical Society, A 159:505–513.
  • Goldstein , H. , Browne , W. J. , Rasbash , J. ( 2002 ). Partitioning variation in multilevel models . Understanding Statistics 1 : 223 – 232 .
  • Hedeker , D. , Gibbons , R. D. ( 2006 ). Longitudinal Data Analysis . New York : Wiley .
  • Hosmer , D. W. , Lemeshow , S. ( 1989 ). Applied Logistic Regression . New York : Wiley .
  • Hox , J. ( 2002 ). Multilevel Analysis: Techniques and Applications . London : Lawrence Erlbaum Associates .
  • Leyland , A. H. , Goldstein , H. ( 2001 ). Multilevel Modelling of Health Statistics . Chichester, UK : Wiley .
  • Liang , K. Y. , Zeger , S. L. ( 1986 ). Longitudinal data analysis using generalized linear models . Biometrika 73 : 13 – 22 .
  • McCulloch , C. E. , Searle , S. R. ( 2001 ). Generalized, Linear, and Mixed Models . New York : John Wiley & Sons Inc .
  • Pardoe , I. , Weidner , R. R. ( 2006 ). Sentencing convicted felons in the United States: a Bayesian analysis using multilevel covariates (with discussion) . Journal of Statistical Planning and Inference 136 : 1433 – 1472 .
  • Rabe-Hesketh , S. , Skrondal , A. ( 2005 ). Multilevel and Longitudinal Modeling Using Stata . College Station , TX : StatCorp LP .
  • Rodriguez , G. , Goldman , N. ( 1995 ). An assessment of estimation procedures for multilevel models with binary responses . Journal of the Royal Statistical Society A 158 : 73 – 89 .
  • Rodriguez , G. , Goldman , N. ( 2001 ). Improved estimation procedures for multilevel models with binary response: a case-study . Journal of the Royal Statistical Society A 164 : 339 – 355 .
  • Snijders , T. A. B. , Bosker , R. J. ( 1999 ). Multilevel Analysis: An Introduction to Basic and Advanced Multilevel Modeling . London : Sage .
  • Tierney , L. , Kadane , J. B. ( 1986 ). Accurate approximations for posterior moments and marginal densities . Journal of the American Statistical Association 81 : 82 – 86 .
  • Wand , M. P. , Jones , M. C. ( 1995 ). Kernel Smoothing . London : Chapman and Hall .
  • Yin , Y. , Winkelman , J. S. , Langrehr , H. A. ( 2000 ). Long Term Resource Monitoring Program Procedures: Aquatic Vegetation Monitoring . U.S. Geological Survey, Upper Midwest Environmental Sciences Center, La Crosse, Wisconsin, April 2000. LTRMP 95-P002-7. 8pp. + Appendixes A–C .

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