Multilevel modeling and model averaging.
作者： Sander Greenland
DOI:
关键词: Simple (abstract algebra) 、 Prior information 、 Data mining 、 Model selection 、 Computer science 、 Multilevel model 、 Regression analysis
摘要: Multilevel modeling, also known as hierarchical regression, generalizes ordinary regression modeling to allow explicit and flexible compromises between simple complex models. This article provides an elementary introduction multilevel a model-averaging technique. Model averaging alternative model selection, it emphasizes the role of prior information in finding good
jstor.org 参考文章(27)
J. B. Copas, Regression, Prediction and Shrinkage Journal of the royal statistical society series b-methodological. ,vol. 45, pp. 311- 335 ,(1983) , 10.1111/J.2517-6161.1983.TB01258.X
Bradley P. Carlin, Bayes and Empirical Bayes Methods for Data Analysis ,(1996)
G.E.P. Box, An Apology for Ecumenism in Statistics. Scientific Inference, Data Analysis, and Robustness#R##N#Proceedings of a Conference Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, November 4–6, 1981. pp. 51- 84 ,(1983) , 10.1016/B978-0-12-121160-8.50009-0
Catherine Hill, Introduction aux modèles de régression Bulletin Du Cancer. ,vol. 87, pp. 543- 545 ,(2000)
Bruce G. Lindsay, Using Empirical Partially Bayes Inference for Increased Efficiency Annals of Statistics. ,vol. 13, pp. 914- 931 ,(1985) , 10.1214/AOS/1176349646
George Casella, An Introduction to Empirical Bayes Data Analysis The American Statistician. ,vol. 39, pp. 83- 87 ,(1985) , 10.1080/00031305.1985.10479400
Bradley Efron, Biased Versus Unbiased Estimation Advances in Mathematics. ,vol. 16, pp. 259- 277 ,(1975) , 10.1016/0001-8708(75)90114-0
Sander Greenland, Methods for epidemiologic analyses of multiple exposures: A review and comparative study of maximum‐likelihood, preliminary‐testing, and empirical‐bayes regression Statistics in Medicine. ,vol. 12, pp. 717- 736 ,(1993) , 10.1002/SIM.4780120802
J. R. HILL, A general framework for model-based statistics Biometrika. ,vol. 77, pp. 115- 126 ,(1990) , 10.1093/BIOMET/77.1.115
George Y. Wong, William M. Mason, The Hierarchical Logistic Regression Model for Multilevel Analysis Journal of the American Statistical Association. ,vol. 80, pp. 513- 524 ,(1985) , 10.1080/01621459.1985.10478148