Prediction in multilevel generalized linear models
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DOI: 10.1111/j.1467-985X.2009.00587.x
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- Duchateau, Luc & Janssen, Paul, 2005. "Understanding Heterogeneity in Generalized Mixed and Frailty Models," The American Statistician, American Statistical Association, vol. 59, pages 143-146, May.
- David Afshartous & Jan de Leeuw, 2005. "Prediction in Multilevel Models," Journal of Educational and Behavioral Statistics, , vol. 30(2), pages 109-139, June.
- David Afshartous & Michael Wolf, 2007.
"Avoiding ‘data snooping’ in multilevel and mixed effects models,"
Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 170(4), pages 1035-1059, October.
- David Afshartous & Michael Wolf, 2005. "Avoiding Data Snooping in Multilevel and Mixed Effects Models," IEW - Working Papers 260, Institute for Empirical Research in Economics - University of Zurich.
- Sophia Rabe‐Hesketh & Anders Skrondal, 2006.
"Multilevel modelling of complex survey data,"
Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 169(4), pages 805-827, October.
- Sophia Rabe-Hesketh, 2007. "Multilevel modeling of complex survey data," West Coast Stata Users' Group Meetings 2007 14, Stata Users Group.
- Robert Tsutakawa & Jane Johnson, 1990. "The effect of uncertainty of item parameter estimation on ability estimates," Psychometrika, Springer;The Psychometric Society, vol. 55(2), pages 371-390, June.
- Edward Frees & Jee-Seon Kim, 2006. "Multilevel Model Prediction," Psychometrika, Springer;The Psychometric Society, vol. 71(1), pages 79-104, March.
- Swamy, P A V B, 1970.
"Efficient Inference in a Random Coefficient Regression Model,"
Econometrica, Econometric Society, vol. 38(2), pages 311-323, March.
- Tom Doan, "undated". "SWAMY: RATS procedure to compute a GLS matrix weighted estimator for a panel data set," Statistical Software Components RTS00206, Boston College Department of Economics.
- R. Bock & Murray Aitkin, 1981. "Marginal maximum likelihood estimation of item parameters: Application of an EM algorithm," Psychometrika, Springer;The Psychometric Society, vol. 46(4), pages 443-459, December.
- Hua-Hua Chang & William Stout, 1993. "The asymptotic posterior normality of the latent trait in an IRT model," Psychometrika, Springer;The Psychometric Society, vol. 58(1), pages 37-52, March.
- Stephen Schilling & R. Bock, 2005. "High-dimensional maximum marginal likelihood item factor analysis by adaptive quadrature," Psychometrika, Springer;The Psychometric Society, vol. 70(3), pages 533-555, September.
- Nicholas T. Longford, 2001. "Simulation‐based diagnostics in random‐coefficient models," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 164(2), pages 259-273.
- Stephen W. Raudenbush & JDouglas Willms, 1995. "The Estimation of School Effects," Journal of Educational and Behavioral Statistics, , vol. 20(4), pages 307-335, December.
- Rabe-Hesketh, Sophia & Skrondal, Anders & Pickles, Andrew, 2005. "Maximum likelihood estimation of limited and discrete dependent variable models with nested random effects," Journal of Econometrics, Elsevier, vol. 128(2), pages 301-323, October.
- Harvey Goldstein & David J. Spiegelhalter, 1996. "League Tables and Their Limitations: Statistical Issues in Comparisons of Institutional Performance," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 159(3), pages 385-409, May.
- Robert J. Mislevy, 1986. "Recent Developments in the Factor Analysis of Categorical Variables," Journal of Educational and Behavioral Statistics, , vol. 11(1), pages 3-31, March.
- Candel, Math J.J.M., 2007. "Empirical Bayes estimators of the random intercept in multilevel analysis: Performance of the classical, Morris and Rao version," Computational Statistics & Data Analysis, Elsevier, vol. 51(6), pages 3027-3040, March.
- Anders Skrondal & Sophia Rabe‐Hesketh, 2007. "Latent Variable Modelling: A Survey," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 34(4), pages 712-745, December.
- Math J. J. M. Candel, 2004. "Performance of empirical Bayes estimators of random coefficients in multilevel analysis: Some results for the random intercept‐only model," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 58(2), pages 197-219, May.
- Thomas R. Ten Have & A. Russell Localio, 1999. "Empirical Bayes Estimation of Random Effects Parameters in Mixed Effects Logistic Regression Models," Biometrics, The International Biometric Society, vol. 55(4), pages 1022-1029, December.
- Sophia Rabe-Hesketh & Anders Skrondal & Andrew Pickles, 2004. "Generalized multilevel structural equation modeling," Psychometrika, Springer;The Psychometric Society, vol. 69(2), pages 167-190, June.
- Anders Skrondal & Sophia Rabe-Hesketh, 2007. "Redundant Overdispersion Parameters in Multilevel Models for Categorical Responses," Journal of Educational and Behavioral Statistics, , vol. 32(4), pages 419-430, December.
- Jiming Jiang & P. Lahiri, 2001. "Empirical Best Prediction for Small Area Inference with Binary Data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(2), pages 217-243, June.
- Thomas Warm, 1989. "Weighted likelihood estimation of ability in item response theory," Psychometrika, Springer;The Psychometric Society, vol. 54(3), pages 427-450, September.
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