Modelling ordered categorical data: Recent advances and future challenges

Statistics in Medicine

Volumn 18, Issue 17-18, 1999, Pages 2191-2207

  Agresti, Alan ^a  

^a University of Florida ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAM; CONFERENCE PAPER; DATA ANALYSIS; LITERATURE; MEASUREMENT; METHODOLOGY; REVIEW; SAMPLE; STATISTICAL MODEL; VARIANCE;

EID: 0033619117     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19990915/30)18:17/18<2191::AID-SIM249>3.0.CO;2-M     Document Type: Conference Paper

References (157)

1. Agresti, A. An Introduction to Categorical Data Analysis, Wiley, 1996.
2. Barnhart, H. X. and Sampson, A. R. 'Overview of multinomial models for ordinal data', Communications in Statistics - A. Theory and Methods, 23, 3395-3416 (1994).
3. Clogg, C. C. and Shihadeh, E. S. Statistical Models for Ordinal Variables, Sage Publications, Thousand Oaks, CA, 1994.
4. Etzioni, R. D., Fienberg, S. E., Gilula, Z. and Haberman, S.J. 'Statistical models for the analysis of ordered categorical data in public health and medical research', Statistical Methods in Medical Research 3, 179-204 (1994).
5. Simon, G. 'Alternative analyses for the singly-ordered contingency table', Journal of the American Statistical Association, 69, 971-976 (1974).
6. Williams, O. D. and Grizzle, J. E. 'Analysis of contingency tables having ordered response categories', Journal of the American Statistical Association, 67, 55-63 (1972).
7. McCullagh, P. 'Regression models for ordinal data' (with discussion), Journal of the Royal Statistical Society, Series, B, 42, 109-142 (1980).
8. Aitchison, J. and Silvey, S. D. 'The generalization of probit analysis to the case of multiple responses', Biometrika, 44, 131-140 (1957).
9. McKelvey, R. D. and Zovoina, W. 'A statistical model for the analysis of ordinal level dependent variables', Journal of Mathematical Sociology, 4, 103-120 (1975).
10. Anderson, J. A. and Philips, P. R. 'Regression, discrimination and measurement models for ordered categorical variables', Applied Statistics, 30, 22-31 (1981).
11. Hauck, W. W. and Donner, A. 'Wald's test as applied to hypotheses in logit analysis', Journal of the American Statistical Association, 72, 851-853 (1977).
12. Stokes, M. E., Davis, C. S. and Koch, G. G. Categorical Data Analysis Using the SAS System, SAS Institute, Cary, NC, 1995.
13. Goodman, L. A. 'The analysis of dependence in cross-classifications having ordered categories, using log-linear models for frequencies and log-linear models for odds', Biometrica, 39, 149-160 (1983).
14. Cox, C. 'Location scale cumulative odds models for ordinal data: A generalized non-linear model approach', Statistics in Medicine, 14, 1191-1203 (1995).
15. Brant, R. 'Assessing proportionality in the proportional odds model for ordinal logistic regression', Biometrics, 46, 1171-1178 (1990).
16. Lindsey, J. K., Jones, B. and Ebbutt, A. F. 'Simple models for repeated ordinal responses with an application to a seasonal rhinitis clinical trial', Statistics in Medicine, 16, 2873-2882 (1997).
17. Tutz, G. 'Sequential item response models with an ordered response', British Journal of Mathematical and Statistical Psychology, 43, 39-55 (1990).
18. Tutz, G. 'Sequential models in categorical regression', Computational Statistics & Data Analysis, 11, 275-295 (1991).
19. Grizzle, J. E., Starmer, C. F. and Koch, G. G. 'Analysis of categorical data by linear models', Biometrics, 25, 489-504 (1969).
20. Heeren, T. and D'Agostino, R. 'Robustness of the two independent samples t-test when applied to ordinal scaled data', Statistics in Medicine, 6, 79-90 (1987).
21. Lipsitz, S. R. 'Methods for estimating the parameters of a linear model for ordered categorical data', Biometrics, 48, 271-281 (1992).
22. Goodman, L. A. 'Simple models for the analysis of association in cross-classifications having ordered categories', Journal of the American Statistical Association, 74, 537-552 (1979).
23. Goodman, L. A. 'The analysis of cross-classified data having ordered and/or the unordered categories: Association models, correlation models, and asymmetry models for contingency tables with or without missing entries', Annals of Statistics, 13, 10-69 (1985).
24. Haberman, S. J. 'Log-linear models for frequency tables with ordered classifications', Biometrics, 36, 589-600 (1974).
25. Haberman, S. J. 'Tests for independence in two-way contingency tables based on canonical correlation and on linear-by-linear interaction', Annals of Statistics, 9, 1178-1186 (1981).
26. Haberman, S. J. 'Computation of maximum likelihood estimates in association models', Journal of the American Statistical Association, 90, 1438-1446 (1995).
27. Becker, M. P. 'On the bivariate normal distribution and association models for ordinal categorical data', Statistics & Probability Letters, 8, 435-440 (1989).
28. Becker, M. P. 'Models for the analysis of association in multivariate contingency tables', Journal of the American Statistical Association, 84, 1014-1019 (1989).
29. Becker, M. P. and Clogg, C. C. 'Analysis of sets of two-way contingency tables using association models', Journal of the American Statistical Association, 84, 142-151 (1989).
30. Dale, J. R. 'Global cross-ratio models for bivariate, discrete, ordered responses', Biometrics, 42, 909-917 (1986).
31. Molenberghs, G. and Lesaffre, E. 'Marginal modeling of correlated ordinal data using a multivariate Plackett distribution', Journal of the American Statistical Association, 89, 633-644 (1994).
32. Ashby, D., West, C. R. and Ames, D. 'The ordered logistic regression model in psychiatry: rising prevalence of dementia in old people's homes', Statistics in Medicine, 8, 1317-1326 (1989).
33. Gange, S. J., Linton, K. L. P., Scott, A. J., DeMets, D. L. and Klein, R. 'A comparison of methods for correlated ordinal measures with opthalmic applications', Statistics in Medicine, 14, 1961-1974 (1995).
34. Greenland, S. 'Alternative models for ordinal logistic regression', Statistics in Medicine, 13, 1665-1677 (1994).
35. Hastie, T. J., Botha, J. L. and Schnitzler, C. M. 'Regression with an ordered categorical response', Statistics in Medicine, 8, 785-794 (1989).
36. Holtbrügge, W. and Schumacher, M. 'A comparison of regression models for the analysis of ordered categorical data', Applied Statistics, 40, 249-259 (1991).
37. Qu, Y., Piedmonte, M. R. and Medendorp, S. V. 'Latent variable models for clustered ordinal data', Biometrics, 51, 268-275 (1995).
38. Rosner, B. and Glynn, R. J. 'Multivariate methods for clustered ordinal data with applications for survival analysis', Statistics in Medicine, 16, 357-372 (1997).
39. Sall, J. 'A monotone regression smoother based on ordinal cumulative logistic regression', ASA Proceedings of Statistical Computing Section, 276-281 (1991).
40. Tamara, R. N., Tanaka, Y., Satoh, K. and Takahashi, M. 'Using the proportional odds model to assess the relationship between a multi-item and a global item efficacy scale in a psychiatric clinical trial', Journal of Biopharmaceutical Statistics, 6, 127-137 (1996).
41. Williamson, J. M. and Manatunga, A. K. 'Assessing interrater agreement from dependent data', Biometrics, 53, 707-714 (1997).
42. Gilula, Z. and Haberman, S. J. 'The analysis of multivariate contingency tables by restricted canonical and restricted association models', Journal of the American Statistical Association, 83, 760-771 (1988).
43. Gilula, Z. and Ritov, Y. 'Inferential ordinal correspondence analysis: Motivation, derivation and limitations', International Statistical Review, 58, 99-108 (1990).
44. Goodman, L. A., 'Some useful extensions of the usual correspondence analysis approach and the usual log-linear models approach in the analysis of contingency tables', International Statistical Review, 54, 291-309 (1986).
45. Gilula, Z., Krieger, A. M. and Ritov, Y. 'Ordinal association in contingency tables: Some interpretive aspects', Journal of the American Statistical Association, 83, 540-545 (1988).
46. Ten Have, T. R., Landis, J. R. and Hartzel, J. 'Population-averaged and cluster-specific models for clustered ordinal response data', Statistics in Medicine, 15, 2573-2588 (1996).
47. Kim, K. 'A bivariate cumulative probit regression model for ordered categorical data', Statistics in Medicine, 14, 1341-1352 (1995).
48. Agresti, A. 'A survey of models for repeated ordered categorical response data', Statistics in Medicine, 8, 1209-1224 (1989).
49. Koch, G. G., Landis, J. R., Freeman, J. L., Freeman, D. H. and Lehnen, R. G. 'A general methodology for the analysis of experiments with repeated measurement of categorical data', Biometrics, 33,133-158 (1997).
50. Liang, K. Y., Zeger, S. L. and Qaqish, B. F. 'Multivariate regression analyses for categorical data (with discussion)', Journal of the Royal Statistical Society, Series B, 54, 3-40 (1992).
51. Lindsey, J. K. Models for Repeated Measurements, Clarendon Press, Oxford, 1993.
52. Kenward, M. G., Lesaffre, E. and Molenberghs, G. 'An application of maximum likelihood and generalized estimating equations to the analysis of ordinal data from a longitudinal study with cases missing at random', Biometrics, 50, 945-953 (1994).
53. Lipsitz, S. R., Kim, K. and Zhao, L. 'Analysis of repeated categorical data using generalized estimating equations', Statistics in Medicine, 13, 1149-1163 (1994).
54. Lumley, T. 'Generalized estimating equations for ordinal data: A note on working correlation structures', Biometrics, 52, 354-361 (1996).
55. Mark, S. D. and Gail, M. H. 'A comparison of likelihood-based and marginal estimating equation methods for analysing repeated ordered categorical responses with missing data', Statistics in Medicine, 13, 479-493 (1994).
56. Liang, K. Y., Zeger, S. L. and Qaqish, B. F. 'Multivariate regression analyses for categorical data (with discussion)', Journal of Royal Statistical Society, Series B, 543, 3-40 (1992).
57. Miller, M. E., Davis, C. S. and Landis, J. R. The analysis of longitudinal polytomous data: generealized estimating equations and connections with weighted least squares', Biometrics, 49, 1033-1044 (1993).
58. Williamson, J. M., Kim, K. and Lipsitz, S. R. 'Analyzing bivariate ordinal data using a global odds ratio', Journal of the American Statistical Association, 90, 1432-1437 (1995).
59. Toledano, A. Y. and Gatsonis, C. 'Ordinal regression methodology for ROC curves derived from correlated data', Statistics in Medicine, 15, 1807-1826 (1996).
60. Stram, D., Wei, L. J. and Ware, J. 'Analysis of repeated ordered categorical outcomes with possibly missing observations and time-dependent covariates', Journal of the American Statistical Association, 83, 631-637 (1998).
61. Heagerty, P. J. and Zeger, S. L. 'Marginal regression models for clustered ordinal measurements', Journal of the American Statistical Association, 91, 1024-1036 (1996).
62. Fitzmaurice, G. and Laird, N. 'A likelihood-based method for analysing longitudinal binary responses', Biometrika, 80, 141-151 (1993).
63. Glonek, G. F. V. 'A class of regression models for multivariate categorical responses', Biometrika, 83, 115-128 (1996).
64. McCullagh, P. and Glonek, G. F. V. 'Multivariate logistic models', Journal of the Royal Statistical Society, Series B, 57, 533-546 (1995).
65. Lang, J. B. 'Maximum likelihood methods for a general class of log-linear models', Annals of Statistics, 24, 726-752 (1996).
66. Lang, J. B. and Agresti, A. 'Simultaneously modeling joint and marginal distributions of multivariate categorical responses', Journal of the American Statistical Association, 89, 625-632 (1994).
67. Bergsma, W. P. 'Marginal models for categorical data', Ph.D. thesis, Tilburg University, Netherlands, 1997.
68. Lang, J. B., McDonald, J. W. and Smith, P. W. F. 'Association marginal modeling of multivariate polytomous responses: A maximum likelihood approach for large, sparse tables', Technical report 263, University of Iowa Department of Statistics and Actuarial Science, 1997.
69. Heumann, C. 'Likelihoodbasierte marginale regressionsmodelle fur korrelierte kategoriale daten', PhD thesis, Ludwig-Maximilians-Universitat, Munchen, 1997.
70. Harville, D. A. and Mee, R. W. 'A mixed-model procedure for analyzing ordered categorical data', Biometrics, 40, 393-408 (1984).
71. Ezzet, F. and Whitehead, J. 'A random effects model for ordinal responses from a crossover trial', Statistics in Medicine, 10, 901-907 (1991).
72. Hedeker, D. R. and Gibbons, R. D. 'A random-effects ordinal regression model for multilevel analysis', Biometrics, 50, 933-944 (1994).
73. Jansen, J. 'On the statistical analysis of ordinal data when extravariation is present', Applied Statistics, 39, 75-84 (1990).
74. Tutz, G. and Hennevogl, W. 'Random effects in ordinal regression models', Computational Statistics & Data Analysis, 22, 537-557 (1996).
75. Sheiner, L. B., Beal, S. L. and Dunne, A. 'Analysis of nonrandomly censored ordered categorical longitudinal data from analgesic trials', Journal of the American Statistical Association, 92, 1235-1244 7 (1997).
76. Crouchley, R. 'A random-effects model for ordered categorical data', Journal of the American Statistical Association, 90, 489-498 (1995).
77. Ten Have, T. R. 'A mixed effects model for longitudinal ordinal response data including correlated discrete failure times with ordinal responses', Biometrics, 52, 473-491 (1996).
78. Agresti, A. 'Distribution-free fitting of logit models with random effects for repeated categorical responses', Statistics in Medicine, 12, 1969-1987 (1993).
79. Agresti, A. 'Computing conditional maximum likelihood estimates for generalized Rasch models using simple loglinear models with diagonals parameters', Scandinavian Journal of Statistics, 20, 63-72 (1993).
80. Conaway, M. R. 'Analysis of repeated categorical measurements with conditional likelihood methods', Journal of the American Statistical Association, 84, 53-62 (1989).
81. Kenward, M. G. and Jones, B. 'The analysis of categorical data from cross-over trials using a latent variable model', Statistics in Medicine, 10, 1607-1619 (1991).
82. Agresti, A. and Lang, J. B. 'A proportional odds model with subject-specific effects for repeated ordered categorical responses', Biometrika, 80, 527-534 (1993).
83. McCullagh, P. 'A logistic model for paired comparisons with ordered categorical data', Biometrika, 64, 449-453 (1977).
84. Agresti, A., Lipsitz, S. and Lang, J. 'Comparing marginal distributions of large, sparse contingency tables', Computational Statistics & Data Analysis, 14, 55-73 (1992).
85. Landis, J. R., Miller, M. E., Davis, C. S. and Koch, G. G. 'Some general methods for the analysis of categorical data in longitudinal studies', Statistics in Medicine, 7, 109-137 (1988).
86. Albert, P. S. 'A Markov model for sequences of ordinal data from a relapsing-remitting disease', Biometrics, 50, 51-60 (1994).
87. Chuang, C. and Francom, S. F. 'A structural model for the Markov chain of change in vote intention', Communications in Statistics - A. Theory and Methods, 15, 3475-3487 (1986).
88. Fleiss, J. L. Cohen, J. and Everitt, B. S. 'Large-sample standard errors of kappa and weighted kappa', Psychological Bulletin, 72, 3223-3327 (1969).
89. Johnson, V. E. 'On Bayesian analysis of multirater ordinal data: An application to automated essay grading', Journal of the American Statistical Association, 91, 42-51 (1996).
90. Uebersax, J. S. and Grove, W. M. 'A latent trait finite mixture model for the analysis of rating agreement', Biometrics, 49, 823-835 (1993).
91. Agresti, A. 'A model for agreement between ratings on an ordinal scale', Biometrics, 44,539-548 (1988).
92. Becker, M. P. 'Using association models to analyse agreement data: two examples', Statistics in Medicine, 8, 1199-1207 (1989).
93. Becker, M. P. 'Quasisymmetric models for the analysis of square contingency tables', Journal of the Royal Statistical Society, Series B, 52, 369-378 (1990).
94. Becker, M. P. and Agresti, A. 'Log-linear modelling of pairwise interobserver agreement on a categorical scale', Statistics in Medicine, 11, 101-114 (1992).
95. Cook, R. J. and Farewell, V. T. 'Conditional inference for subject-specific and marginal agreement: two families of agreement measures', Canadian Journal of Statistics, 23, 333-344 (1995).
96. Agresti, A., Mehta, C. R. and Patel, N. R. 'Exact inference for contingency tables with ordered categories', Journal of the American Statistical Association, 85, 453-458 (1990).
97. StatXact. StatXact3 for Windows: Statistical Software for Exact Nonparametric Inference, User Manual, Cytel Software, 1995.
98. Cohen, A. and Sackrowitz, H. B. 'Tests for independence in contingency tables with ordered categories', Journal of Multivariate Analysis, 36, 56-67 (1991).
99. Cohen, A. and Sackrowitz, H. B. 'Improved tests for comparing treatments against a control and other one-sided problems', Journal of the American Statistical Association, 87, 1137-1144 (1992).
100. Kim, D. and Agresti, A. 'Nearly exact tests of conditional independence and marginal homogeneity for sparse contingency tables', Computational Statistics and Data Analysis, 24, 89-104 (1997).
101. Landis, J. R., Heyman, E. R. and Koch, G. G. 'Average partial association in three-way contingency tables: A review and discussion of alternative tests', International Statistical Review, 46, 237-254 (1978).
102. Mantel, N. 'Chi-square tests with one degree of freedom: extensions of the Mantel-Haenszel procedure', Journal of the American Statistical Association, 58, 690-700 (1963).
103. Agresti, A., Lang, J. and Mehta, C. 'Some empirical comparisons of exact, modified exact, and higher-order asymptotic tests of independence for ordered categorical variables', Communications in Statistics, Simulation and Computation, 22, 1-18 (1993).
104. Pierce, D. A. and Peters, D. 'Practical use of higher-order asymptotics for multiparameter exponential families' (with discussion), Journal of Royal Statistical Society, Series B, 54, 701-737 (1992).
105. Forster, J. J., McDonald, J. W. and Smith, P. W. F. 'Monte Carlo exact conditional tests for log-linear and logistic models', Journal of the Royal Statistical Society, Series B, 58, 445-453 (1996).
106. Whitehead, J. 'Sample size calculations for ordered categorical data', Statistics in Medicine, 12, 2257-2271 (1993).
107. Hilton, J. F. and Mehta, C. R. 'Power and sample size calculations for exact conditional tests with ordered categorical data', Biometrics, 49, 609-616 (1993).
108. Gastwirth, J. L. and Podgor, M. J. 'Scores', Encyclopedia of Biostatistics, Wiley, New York, 1998.
109. Graubard, B. I. and Korn, E. L. 'Choice of column scores for testing independence in ordered 2 × K contingency tables', Biometrics, 43, 471-476 (1987).
110. Kimeldorf, G., Sampson, A. R. and Whitaker, L. R. 'Min and max scorings for two-sample ordinal data', Journal of the American Statistical Association, 87, 241-247 (1992).
111. Rahlfs, V. W. and Zimmerman, H. 'Scores: Ordinal data with few categories - how should they be analyzed?', Drug Information Journal, 27, 1227-1240 (1993).
112. Altman, D. G. 'Categorizing continuous variables', in Encyclopedia of Biostatistics, Wiley, Chichester, 1998.
113. Grove, D. M. 'A test of independence against a class of ordered alternatives in a 2 × c contingency table', Journal of the American Statistical Association, 75, 454-459 (1980).
114. Robertson, T. and Wright, F. T. 'Likelihood-ratio tests for and against a stochastic ordering between multinomial populations', Annals of Statistics, 9, 1248-1257 (1981).
115. Dykstra, R., Kochar, S. and Robertson, T. 'Inference for likelihood ratio ordering in the two-sample problem', Journal of the American Statistical Association, 90, 1034-1040 (1995).
116. Berger, V. and Sackrowitz, H. 'Improving tests for superior treatment in contingency tables', Journal of the American Statistical Association, 92, 700-705 (1997).
117. Cohen, A. and Sackrowitz, H. 'Testing whether treatment is better than control with ordered categorical data', Technical Report 96-019, Department of Statistics, Rutgers University, 1996.
118. Agresti, A. and Coull, B. C. 'Order-restricted inference for monotone trend alternatives in contingency tables', Computational Statistics & Data Analysis, 28, 139-155 (1998).
119. Patefield, W. M. 'Exact tests for trends in ordered contingency tables', Applied Statistics, 31, 32-43 (1982).
120. Evans, M., Gilula, Z., Guttman, I. and Swart, T. 'Bayesian analysis of stochastically ordered distributions of categorical variables', Journal of the American Statistical Association, 92, 208-214 (1997).
121. Grove, D. M. 'Positive association in a two-way contingency table: Likelihood ratio tests', Communications in Statistics, A: Theory and Methods, 13, 931-945 (1984).
122. Agresti, A., Chuang, C. and Kezouh, A. 'Order-restricted score parameters in association models for contingency tables', Journal of the American Statistical Association, 82, 619-623 (1987).
123. Ritov, Y. and Gilula, Z. 'The order-restricted RC model for ordered contingency tables:Estimation and testing for fit', Annals of Statistics, 19, 2090-2101 (1991).
124. Albert, P. S., Hunsberger, S. A. and Biro, F. M. 'Modeling repeated measures with monotonie ordinal responses and misclassification, with application to studying maturation', Journal of the American Statistical Association, 92, 1304-1311 (1997).
125. Lang, J. B. 'On the partitioning of goodness-of-fit statistics for multivariate categorical response models', Journal of the American Statistical Association, 91, 1017-1023 (1996).
126. Lipsitz, S. R., Fitzmaurice, M. G. and Molenberghs, G. 'Goodness-of-fit tests for ordinal response regression models', Applied Statistics, 45, 175-190 (1996).
127. Peterson B. and Harrell, F. E., Jr. 'Partial proportional odds models for ordinal response variables', Applied Statistics, 39, 205-217 (1990).
128. Center, F. C. and Farewell, V. T. 'Goodness-of-link testing in ordinal regression models', Canadian Journal of Statistics, 13, 37-44 (1985).
129. Agresti, A. and Lang, J. 'Quasi-symmetric latent class models, with application to rater agreement', Biometrics, 49, 131-140 (1993).
130. Keinen, T. Discrete Latent Variable Models, Tilburg University Press, 1993.
131. Sobel, M. E. and Arminger, G. 'Modeling household fertility decisions: A nonlinear simultaneous probit model', Journal of the American Statistical Association, 87, 38-47 (1992).
132. Croon, M. 'Latent class analysis with ordered latent classes', British Journal of Mathematical and Statistical Psychology, 43, 171-192 (1990).
133. Böckenholt, U. and Böckenholt, I. 'Constrained latent class analysis: Simultaneous classification and scaling of discrete choice data', Psychometrika, 56, 699-716 (1991).
134. Croon, M. 'Latent class analysis with ordeed latent classes', British Journal of Mathematical and Statistical Psychology, 43, 171-192 (1990).
135. Brink A. and Smith, A. F. M. 'Bayesian modelling of the association in contingency tables', in Statistical Modelling: Proceedings of the 11th International Workshop on Statistical Modelling, Orvieto, Italy, 1996.
136. Lang, J. B. 'Bayesian ordinal and binary regression models with a parametric family of mixture links', Technical report 267, University of Iowa Department of Statistics and Actuarial Science, 1997.
137. Agresti, A. and Chuang, C. 'Model-based Bayesian methods for estimating cell proportions in cross-classification tables having ordered categories', Computational Statistics &Data Analysis, 7, 245-258 (1989).
138. Titterington, D. M. and Bowman, A. W. 'A comparative study of smoothing procedures for ordered categorical data', Journal of Statistical Computation and Simulation, 21, 291-312 (1985).
139. Simonoff, J. S. 'Probability estimation via smoothing in sparse contingency tables with ordered categories', Statistics & Probability Letters, 5, 55-63 (1987).
140. Agresti, A. 'Analysis of ordinal paired comparison data', Applied Statistics, 41, 287-297 (1992).
141. Böckenholt, U. and Dillon, W. R. 'Modeling within-subject dependencies in ordinal paired comparison data', Psychometrika, 62, 411-434 (1997).
142. Fahrmeir, L. and Tutz, G. 'Dynamic stochastic models for time-dependent ordered paired comparison systems', Journal of the American Statistical Association, 89, 1438-1449 (1994).
143. Lesaffre, E., Molenberghs, G. and DeWulf, L. 'Effects of dropouts in a longitudinal study: An application of a repeated ordinal model', Statistics in Medicine, 15, 1123-1141 (1996).
144. Lipsitz, S. R. and Fitzmaurice, G. M. The score test for independence in R × C contingency tables with missing data', Biometrics, 52, 751-762 (1996).
145. Molenberghs, G., Kenward, M. G. and Lesaffre, E. 'The analysis of longitudinal ordinal data with nonrandom drop-out', Biometrika, 84, 33-44 (1997).
146. Cowles, M. K., Carlin, B. P. and Connett, J. E. 'Bayesian tobit modeling of longitudinal ordinal clinical trial compliance data with nonignorable missingness', Journal of the American Statistical Association, 91, 86-98 (1996).
147. Simonoff, J. S. and Tsai, C.-L. 'Higher order effects in log-linear and log-non-linear models for contingency tables with ordered categories', Applied Statistics, 40, 449-458 (1991).
148. Liu, I. M. and Agresti, A. 'Mantel-Haenszel-type inference for cumulative odds ratios', Biometrics, 52, 1222-1234 (1996).
149. Catalano, P. J. 'Bivariate modelling of clustered continuous and ordered categorical outcomes', Statistics in Medicine, 16, 883-900 (1997).
150. Best, D. J. and Rayner, J. C. W. 'Nonparametric analysis for doubly ordered two-way contingency tables', Biometrics, 52, 1153-1156 (1996).
151. Nair, V. N. Testing in industrial experiments with ordered categorical data', Technometrics, 28, 283-291 (1986).
152. Nair, V. N. 'Chi-squared-type tests for ordered alternatives in contingency tables', Journal of the American Statistical Association, 82, 283-291 (1987).
153. Fay, M. P. and Gennings, C. 'A Non-parametric two-sample tests for repeated ordinal responses', Statistics in Medicine, 15, 429-442 (1996).
154. Diggle, P. J., Liang, K.-Y. and Zeger, S. L. Analysis of Longitudinal Data, Clerendon Press, Oxford 1994.
155. Wang, Y.-G. 'A quasi-likelihood approach for ordered categorical data with overdispersion', Biometrics, 52, 1252-1258 (1996).
156. Simpson, D. G., Carroll, R. J., Zohu, H. and Guth, D. J. 'Interval censoring and marginal analysis in ordinal regression', Journal of Agricultural, Biological, and Environmental Statistics, 1, 354-376 (1996).
157. 2-type measures to ordered categorical data', Technometrics, 28,133-138 (1986).