Empirical Bayes estimators of the random intercept in multilevel analysis: Performance of the classical, Morris and Rao version

Computational Statistics and Data Analysis

Volumn 51, Issue 6, 2007, Pages 3027-3040

  Candel, Math J J M ^a  

^a MAASTRICHT UNIVERSITY   (Netherlands)

Author keywords

(Restricted) maximum likelihood; Bayes risk; Empirical Bayes estimator; Monte Carlo simulations

Indexed keywords

LINEAR SYSTEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; MAXIMUM LIKELIHOOD ESTIMATION; MONTE CARLO METHODS;

BAYES ESTIMATORS; BAYES RISK;

STATISTICAL METHODS;

EID: 33846626047     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.01.017     Document Type: Article

References (26)

1. Albert P.S. Tutorial in biostatistics: longitudinal data analysis (repeated measures) in clinical trials. Statist. Med. 18 (1999) 1707-1732
2. Bours G.J.J.W., Halfens R.J.G., Candel M.J.J.M., Grol R.T.P.M., Abu-Saad, and Huda Huijer. A pressure ulcer audit and feedback project across multi-hospital settings in the Netherlands. Internat. J. Quality Health Care 16 (2004) 211-218
3. Bryk A.S., and Raudenbush S.W. Hierarchical Linear Models: Applications and Data Analysis Methods (1992), Sage, Newbury Park
4. Candel M.J.J.M. Performance of empirical Bayes estimators of random coefficients in multilevel analysis: some results for the random intercept-only model. Statist. Neerlandica 58 (2004) 197-219
5. Candel M.J.J.M., and Winkens B. Performance of empirical Bayes estimators of level-2 random parameters in multilevel analysis: a Monte Carlo study for longitudinal designs. J. Educational Behav. Statist. 28 (2003) 169-194
6. Carlin B.P., and Louis T.A. Bayes and Empirical Bayes Methods for Data Analysis (2000), Chapman & Hall, Boca Raton
7. Casella G. An introduction to empirical Bayes data analysis. Amer. Statist. 39 (1985) 83-87
8. Cnaan A., Laird N.M., and Slasor P. Using the general linear mixed model to analyse unbalanced repeated measures and longitudinal data. Statist. Med. 16 (1997) 2349-2380
9. DeGroot M.H. Optimal Statistical Decisions (1970), McGraw-Hill, New York
10. Efron B., and Morris C. Data analysis using Stein's estimator and its generalizations. J. Amer. Statist. Assoc. 70 (1975) 311-319
11. Goldstein H., Rasbash J., Plewis I., Draper D., Browne W., Yang M., Woodhouse G., and Healy M. A User's Guide to MlwiN. Multilevel Models Project, Institute of Education (1998), University of London, London
12. Hedeker D., and Gibbons R.D. MIXREG: a computer program for mixed-effects regression analysis with autocorrelated errors. Comput. Methods Programs Biomed. 49 (1996) 229-252
13. Hedeker D., and Gibbons R.D. Application of random-effects pattern-mixture models for missing data in longitudinal studies. Psychol. Methods 2 (1997) 64-78
14. Maas C.J.M., and Hox J.J. Robustness issues in multilevel regression analysis. Statist. Neerlandica 58 (2004) 127-137
15. Maas C.J.M., and Hox J.J. The influence of violations of assumptions on multilevel parameter estimates and their standard errors. Comput. Statist. Data Anal. 46 (2004) 427-440
16. Maritz J.S., and Lwin T. Empirical Bayes Methods (1989), Chapman & Hall, London
17. Mood A.M., Graybill F.A., and Boes D.C. Introduction to the Theory of Statistics. third ed (1974), McGraw-Hill, Tokyo
18. Morris C.N. Parametric empirical Bayes inference: theory and applications. J. Amer. Statist. Assoc. 78 (1983) 47-55
19. Rao C.R. Simultaneous estimation of parameters in different linear models and applications to biometric problems. Biometrics 31 (1975) 545-554
20. Ronda G., Van Assema P., Candel M., Ruland E., Steenbakkers M., Van Ree J., and Brug J. The Dutch heart health community intervention "Hartslag Limburg": results of an effect study at individual level. Health Promotion Internat. 19 (2004) 21-31
21. Searle S.R. Linear Models for Unbalanced Data (1987), Wiley, New York
22. Searle S.R., Casella G., and McCulloch C.E. Variance Components (1992), Wiley, New York
23. Snijders T.A.B. Analysis of longitudinal data using the hierarchical linear model. Quality & Quantity 30 (1996) 405-426
24. Snijders T.A.B., and Bosker R.J. Multilevel Analysis: An Introduction to Basic and Advanced Multilevel Modeling (1999), Sage, London
25. Tate R.L., and Hokanson J.E. Analyzing individual status and change with hierarchical linear models: illustration with depression in college students. J. Personality 61 (1993) 181-206
26. Verbeke G., and Molenberghs G. Linear Mixed Models for Longitudinal Data (2000), Springer, New York