The beta distribution as a latent response model for ordinal data (I): Estimation of location and dispersion parameters

Journal of Statistical Computation and Simulation

Volumn 72, Issue 6, 2002, Pages 473-494

  Tamhane, Ajit C ^a   Ankenman, Bruce E ^a   Yang, Ying ^a  

^a Northwestern University   (United States)

Author keywords

Incomplete data; Latent variable model; Logistic response distribution; Maximum likelihood method; Mean square error; Method of moments; Ordered categorical data; Proportional odds model; Taguchi method

Indexed keywords

EID: 0036037887     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/00949650213699     Document Type: Article

References (16)

1. Agresti, A. (1984). Analysis of Ordinal Categorical Data, John Wiley, New York.
2. Agresti, A. (1990). Categorical Data Analysis, John Wiley, New York.
3. Bazaraa, M. S., Sherali, H. D. and Shetty, C. M. (1993). Nonlinear Programming: Theory and Algorithms, 2nd ed. John Wiley, New York.
4. Best, D. J. and Rayner, J. C. W. (1998). Nonparametric analysis of ordinal categorical response data with factorial structure. Applied Statistics, 47, 439-446.
5. Box, G. E. P. (1988). Signal-to-noise ratios, performance criteria and transformation. Technometrics, 30, 1-31.
6. Dempster, A. P., Laird, N. M. and Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm (with discussion). Journal of Royal Statistical Society, Ser. B, 1-38.
7. Hamada, M. and Wu, C. F. J. (1990). A critical look at accululation analysis and related methods (with discussion). Technometrics, 28, 302-306.
8. Leon, R. V., Shoemaker, A. C. and Kacker, R. N. (1987). Performance measures independent of adjustment: An explanation and extension of Taguchi's signal to noise ratio. Technometrics, 29, 253-287.
9. McCullagh, P. (1980). Regression models for ordinal data (with discussion). Journal of Royal Statistical Society, Ser. B, 42, 109-142.
10. McCullagh, P. (1988). PLUM: An interactive computer package for analysis of ordinal data. User's Manual available from pmcc@galton.uchicago.edu.
11. McCullagh, P. and Neider, J. (1989). Generalized Linear Models, 2nd ed. Chapman and Hall, London.
12. MacKinnon, J. G. and Smith, A. A. Jr. (1988). An approximate bias correction in econometrics. Journal of Econometrics, 85, 205-230.
13. Nair, V. N. (1986). Testing in industrial experiments with ordered categorical data (with discussion). Technometrics, 28, 283-311.
14. Sundberg, R. (1974). Maximum likelihood theory for incomplete data from an exponential family. Scandinavian Journal of Statistics, 1, 49-58.
15. Sundberg, R. (1976). An iterative method for solution of the likelihood equations for incomplete data from an exponential family. Communications in Statistics, Ser. B (Simulations and Computations), 5, 55-64.
16. Taguchi, G. (1986). Introduction to Quality Engineering. Kraus International Publications, White Plains, NY.