Comment: Microarrays, Empirical Bayes and the Two-Groups Model
Carl N. Morris
Source: Statist. Sci.
Volume 23, Number 1
(2008), 34-40.
Abstract
Brad Efron’s paper has inspired a return to the ideas behind Bayes, frequency and empirical Bayes. The latter preferably would not be limited to exchangeable models for the data and hyperparameters. Parallels are revealed between microarray analyses and profiling of hospitals, with advances suggesting more decision modeling for gene identification also. Then good multilevel and empirical Bayes models for random effects should be sought when regression toward the mean is anticipated.
Keywords: Bayes; frequency; interval estimation; exchangeable; general model; random effects
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.ss/1215441279
Digital Object Identifier: doi:10.1214/08-STS236D
References
Burgess, J. F., Christiansen, C. L., Michalak, S. E. and Morris, C. N. (2000). Medical profiling: Improving standards and risk adjustments using hierarchical models. J. Health Economics 19 291–309.
Christiansen, C. L. and Morris, C. N. (1997). Hierarchical Poisson regression modeling. J. Amer. Statist. Assoc. 92 618–632.
Efron, B. and Morris, C. N. (1975). Data analysis using Steinas estimator and its generalizations. J. Amer. Statist. Assoc. 70 311–319.
Mathematical Reviews (MathSciNet):
MR391403
Hill, J. R. (1986). Empirical Bayes statistics: A comprehensive theory for data analysis. Ph.D. dissertation, Univ. Texas.
Hill, J. R. (1990). A general framework for model based statistics. Biometrika 77 115–126.
Ji, H. and Wong, W. A. (2005). TileMap: Create chromosomal map of tiling array hybridizations. Bioinformatics 21 3629–3636.
Morris, C. N. (1983). Parametric empirical Bayes inference: Theory and applications (with discussion). J. Amer. Statis. Assoc. 78 47–65.
Mathematical Reviews (MathSciNet):
MR696849
