Bayesian analysis of square ordinal-ordinal tables

British Journal of Mathematical and Statistical Psychology

Volumn 52, Issue 1, 1999, Pages 111-124

  Poon, Wai Yin ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039034287     PISSN: 00071102     EISSN: None     Source Type: Journal    
DOI: 10.1348/000711099158991     Document Type: Article

References (35)

1. Agresti, A. (1984). Analysis of ordinal categorical data. New York: Wiley.
2. Bishop, Y. M. M., Fienberg, S. E. & Holland, P. W. (1975). Discrete multivariate analysis: theory and practice. Cambridge. MA: MIT Press.
3. Dempster, A. P., Laird, N. M. & Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society B, 39, 1-38.
4. Gelfand, A. E. & Smith, A. F. M. (1990). Sampling-based approaches to calculating marginal densities. Journal of the American Statistical Association, 85, 398-409.
5. Geman, S. & Geman, D. (1984). Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 6, 721-741.
6. Gilks, W. R., Richardson, S. & Spiegelhalter, D. J. (1996). Introducing Markov chain Monte Carlo. In W. R. Gilks, S. Richardson and D. J. Spiegelhalter (Eds), Markov chain Monte Carlo in practice pp. 1-19. London: Chapman & Hall.
7. Jeffrey, H. (1961). Theory of probability, 3rd ed. Oxford: Clarendon.
8. Johnson, N. L. & Kotz, S. (1972). Distributions in statistics: Continuous multivariate distributions. New York: Wiley.
9. Jöreskog, K. G. & Sörbom, D. (1988a). PRELISE: A program for multivariate data screening and data summarization. A preprocessor for LISREL, 2nd ed. Mooresville, IN: Scientific Software.
10. Jöreskog, K. G. & Sörbom, D. (1988b). LISREL 7: A guide to the program and applications. Chicago, IL: SPSS.
11. Koch, G. G. & Reinfurt, D. W. (1971). The analysis of categorical data from mixed models. Biometrika, 27, 157-173.
12. Lee, S.-Y. (1981). A Bayesian approach to confirmatory factor analysis. Psychometrika, 46, 153-160.
13. Lee, S.-Y. (1992). Bayesian analysis of stochastic constraints in structural equation models. British Journal of Mathematical and Statistical Psychology, 45, 93-107.
14. Lee, S.-Y. & Ho, W. T. (1993). Analysis of multisample identified and non-identified structural equation models with stochastic constraints. Computational Statistics and Data Analysis, 16, 441-453.
15. Lee, S.-Y. & Jennrich, R. I. (1979). A study of algorithms for covariance structure analysis with specific comparisons using factor analysis. Psychometrika, 44, 99-113.
16. Lee, S.-Y., Poon, W.-Y. & Bentler, P. M. (1989). Simultaneous analysis of multivariate polytomous variates in several groups. Psychometrika, 54, 63-73.
17. Lee, S.-Y., Poon, W.-Y. & Bentler, P. M. (1990). A three-stage estimation procedure for structural equation models with polytomous variables. Psychometrika, 55, 45-51.
18. Lee, S.-Y., Poon, W.-Y. & Bentler, P. M. (1995). A two-stage estimation of structural equation models with continuous and polytomous variables. British Journal of Mathematical and Statistical Psychology, 48, 339-358.
19. Leonard, T. & Hsu, J. S. J. (1994). The Bayesian analysis of categorical data - A selective review. In P. R. Freeman and A. F. M. Smith (Eds), Aspects of uncertainty, 283-310. New York: Wiley.
20. Lindley, D. V. & Smith, A. F. M. (1972). Bayes estimates for the linear model. Journal of the Royal Statistical Society B, 34, 1-42.
21. McCullagh, P. (1980). Regression models for ordinal data (with discussion). Journal of the Royal Statistical Society B, 42, 109-142.
22. Muthén, B. (1984). A general structural equation model with dichotomous, ordered categorical and continuous latent variable indicators. Psychometrika, 49, 115-132.
23. Muthén, B. (1987). LISCOMP: Analysis of linear statistical equations with a comprehensive measurement model. Mooresville, IN: Scientific Software.
24. O'Hagan, A. (1976). On posterior joint and marginal modes. Biometrika, 63, 329-333.
25. Olsson, U. (1979). Maximum likelihood estimation of the polychoric correlation coefficient. Psychometrika, 44, 443-460.
26. Poon, W.-Y. & Hung, H.-Y. (1996). Analysis of square tables with ordered categories. Computational Statistics and Data Analysis, 22, 303-322.
27. Poon, W.-Y. & Lee, S.-Y. (1987). Maximum likelihood estimation of multivariate polyserial and polychoric correlation coefficients. Psychometrika, 52, 409-430.
28. Shapiro, A. (1986). Asymptotic theory of overparameterized structural models. Journal of the American Statistical Association, 81, 142-149.
29. Shi, J.-Q. & Lee, S.-Y. (1998). Bayesian sampling-based approach for factor analysis model with continuous and polytomous data. British Journal of Mathematical and Statistical Psychology, 52, 233-252.
30. Stuart, A. (1953). The estimation and comparison of strengths of association in contingency tables. Biometrika, 40, 105-110.
31. Stuart, A. (1995). A test for homogeneity of the marginal distributions in a two-way classification. Biometrika, 42, 412-416.
32. Sun, L, Hsu, S. J., Guttman, I. & Leonard, T. (1996). Bayesian methods for variance component models. Journal of the American Statistical Association, Theory and Methods, 91, 743-752.
33. Tanner, M. & Wong, W. H. (1987). The calculation of posterior distributions by data augmentation. Journal of the Royal Statistical Society, 82, 528-540.
34. Zeger, S. L & Karim, M. R. (1991). Generalized linear models with random effects: A Gibbs sampling approach. Journal of the American Statistical Association, 86, 79-86.
35. Zellner, Z. (1971). An introduction to Bayesian inference in econometrics. New York: Wiley.