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The analysis of ordered categorical data: An overview and a survey of recent developments

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  • Ivy Liu
  • Alan Agresti

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  • Ivy Liu & Alan Agresti, 2005. "The analysis of ordered categorical data: An overview and a survey of recent developments," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 14(1), pages 1-73, June.
    • Handle: RePEc:spr:testjl:v:14:y:2005:i:1:p:1-73
    DOI: 10.1007/BF02595397
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    References listed on IDEAS

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    1. Rossi P. E & Gilula Z. & Allenby G. M, 2001. "Overcoming Scale Usage Heterogeneity: A Bayesian Hierarchical Approach," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 20-31, March.
    2. Agresti, Alan & Chuang, Christy, 1989. "Model-based Bayesian methods for estimating cell proportions in cross-classification tables having ordered categories," Computational Statistics & Data Analysis, Elsevier, vol. 7(3), pages 245-258, February.
    3. Jeffrey S. Simonoff, 1998. "Three Sides of Smoothing: Categorical Data Smoothing, Nonparametric Regression, and Density Estimation," International Statistical Review, International Statistical Institute, vol. 66(2), pages 137-156, August.
    4. Bartolucci F. & Forcina A., 2002. "Extended RC Association Models Allowing for Order Restrictions and Marginal Modeling," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 1192-1199, December.
    5. Tutz, Gerhard & Hennevogl, Wolfgang, 1996. "Random effects in ordinal regression models," Computational Statistics & Data Analysis, Elsevier, vol. 22(5), pages 537-557, September.
    6. J. G. Booth & J. P. Hobert, 1999. "Maximizing generalized linear mixed model likelihoods with an automated Monte Carlo EM algorithm," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(1), pages 265-285.
    7. Agresti, Alan & Coull, Brent A., 1998. "Order-restricted inference for monotone trend alternatives in contingency tables," Computational Statistics & Data Analysis, Elsevier, vol. 28(2), pages 139-155, August.
    8. Kim, Donguk & Agresti, Alan, 1997. "Nearly exact tests of conditional independence and marginal homogeneity for sparse contingency tables," Computational Statistics & Data Analysis, Elsevier, vol. 24(1), pages 89-104, March.
    9. A. Fielding, 1999. "Why use arbitrary points scores?: ordered categories in models of educational progress," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 162(3), pages 303-328.
    10. Simonoff, Jeffrey S., 1987. "Probability estimation via smoothing in sparse contingency tables with ordered categories," Statistics & Probability Letters, Elsevier, vol. 5(1), pages 55-63, January.
    11. Agresti, Alan & Yang, Ming-Chung, 1987. "An empirical investigation of some effects of sparseness in contingency tables," Computational Statistics & Data Analysis, Elsevier, vol. 5(1), pages 9-21.
    12. Bartolucci, F. & Scaccia, L., 2004. "Testing for positive association in contingency tables with fixed margins," Computational Statistics & Data Analysis, Elsevier, vol. 47(1), pages 195-210, August.
    13. Brunner, Edgar & Munzel, Ulrich & Puri, Madan L., 1999. "Rank-Score Tests in Factorial Designs with Repeated Measures," Journal of Multivariate Analysis, Elsevier, vol. 70(2), pages 286-317, August.
    14. Lindsey, J. K., 1999. "Models for Repeated Measurements," OUP Catalogue, Oxford University Press, edition 2, number 9780198505594.
    15. Tutz, Gerhard, 1991. "Sequential models in categorical regression," Computational Statistics & Data Analysis, Elsevier, vol. 11(3), pages 275-295, May.
    16. Göran Kauermann, 2000. "Modeling Longitudinal Data with Ordinal Response by Varying Coefficients," Biometrics, The International Biometric Society, vol. 56(3), pages 692-698, September.
    17. Samuel M. Mwalili & Emmanuel Lesaffre & Dominique Declerck, 2005. "A Bayesian ordinal logistic regression model to correct for interobserver measurement error in a geographical oral health study," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 54(1), pages 77-93, January.
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