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Original Articles

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

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Pages 473-494 | Published online: 29 Oct 2010

  • Agresti , A. 1984 . Analysis of Ordinal Categorical Data , New York : John Wiley .
  • Agresti , A. 1990 . Categorical Data Analysis , New York : John Wiley .
  • Bazaraa , M.S. , Sherali , H. D. and Shetty , C. M. 1993 . Nonlinear Programming: Theory ami Algorithms, , 2nd ed. , New York : John Wiley .
  • Best , D. J. and Rayner , J. C. W. 1998 . Nonparametric analysis of ordinal categorical response data with factorial structure . Applied Statistics , 47 : 439 – 446 .
  • Box , G. E. P. 1988 . Signal-to-noise ratios, performance criteria and transformation . Technometrics , 30 : 1 – 31 .
  • Dempstcr , A. P. , Laird , N. M. and Rubin , I. B. 1977 . Maximum likelihood from incomplete data via the EM algorithm (with discussion) . Journal of Royal Statistical Society. Ser B , : 1 – 38 .
  • Hamada , M. and Wu , C. F. J. 1990 . A critical look at accululation analysis and related methods (with discussion) . Ttechnometrics , 28 : 302 – 306 .
  • 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 .
  • McCullagh , P. 1980 . Regression models for ordinal data (with discussion) . Journal of Royal Statistical Society. Ser B , 42 : 109 – 142 .
  • McCullagh, P. (1988) PLUM: An interactive computer package for analysis of ordinal data. User's Manual available from pmcc(a)galton.ucliicago.edu
  • McCullagh , P. and Neider , J. 1989 . Generalized Linear Modles, , 2nd ed. , London : Chapman and Hall .
  • MacKinnon , J. G. and Smith , A. A. Jr. 1988 . An approximate bias correction in econometrics . Journal of Econometrics , 85 : 205 – 230 .
  • Nair , V N. 1986 . Testing in industrial experiments with ordered categorical data (with discussion) . Technometrics , 28 : 283 – 311 .
  • Sundbcrg , R. 1974 . Maximum likelihood theory for incomplete data from an exponential famiIy . Scandinavian Journal of Statistics , 1 : 49 – 58 .
  • Sundbcerg , 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 .
  • Taguchi , G. 1986 . Introduction to Quality Engineering , While Plains, NY : Kraus International Publications .

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