A note on choosing the number of factors

Communications in Statistics - Theory and Methods

Volumn 28, Issue 7, 1999, Pages 1653-1670

  Press, S James ^a   Shigemasu, Kazuo ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

Bayes; Factor analysis; Maximum posterior probability; Model selection; Posterior odds ratio

Indexed keywords

EID: 28244438066     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929908832378     Document Type: Article

References (14)

1. nd International Symposium of Information Theory, B. Petrov, and F. Csaki, eds, Akademiai Kiado, Budapest.
2. Akaike, H. (1978). A Bayesian Analysis Of The Minimum AIC Procedure", Ann. Inst. Statist. Math., 30, Part A, 9-14.
3. Akaike, H. (1987). "Factor analysis and AIC." Psychometrika, Vol. 52, No. 3, 317-32.
4. Berger, James O. and Luis R. Pericchi (1996). "The Intrinsic Bayes Factor for Linear Models", in Proceedings of the Fifth International Meeting On Bayesian Statistics, Bernardo, J. M., Berger, J.O., Dawid, A. P., and A. F. M. Smith eds, Oxford: Oxford University Press, pp. 25-44.
5. Geisser, Seymour, and William F. Eddy (1979). "A Predictive Approach To Model Selection", Jour. Amer. Statist. Assn., Vol. 74, No. 365, pp. 153-160.
6. Lee, Sang Eun, and Press, S. James (1998). "Robustness of Bayesian Factor Analysis Estimates", Communications in Statistics-Theory and Methods, Vol. 27, No. 8, pp. 1871-1893.
7. p", Technometrics, 15, pp. 661-675.
8. Press, S. James (1972). Applied Multivariate Analysis, New York: Holt Rinehart, and Winston, Inc.
9. Press, S. James and K. Shigemasu (1989). "Bayesian Inference in Factor Analysis", in Contributions to Probability and Statistics: Essays in Honor of Ingram Olkin, Gleser, L.J., Perlman, M.D., S. J. Press, and A.R. Sampson (Editors), New York: Springer Verlag, 271-287.
10. Press, S. James and K. Shigemasu (1997). "Bayesian Inference In Factor Analysis-Revised", With an appendix by Daniel B. Rowe, Technical Report No. 243, Department of Statistics, University of California, Riverside, CA, May, 1997.
11. Rowe, Daniel B., and S. James Press (1998). "Gibbs Sampling and Hill Climbing In Bayesian Factor Analysis", Technical Report No. 255, Department of Statistics, University of California, Riverside, CA.
12. Schwarz, G. (1978). "Estimating the Dimension of the Model", Annals of Statistics, 6, 461-464.
13. Zellner, Arnold (1978). "Jeffreys-Bayes Posterior Odds Ratio and the Akaike Information Criterion for Discriminating Between Models", Economics Letters, 1, pp. 337-342.
14. Zellner, Arnold and Chung-ki Min (1993). "Bayesian Analysis, Model Selection and Prediction", in Physics and Probability: Essays in Honor of Edwin T. Jaynes, Cambridge: Cambridge University Press, pp. 195-206.