Discussion: Strategies and Issues for the Analysis of Ordered Categorical Data From Multifactor Studies in Industry

ADDITIONAL REFERENCES

• Agresti , A. 1984 . Analysis of Ordinal Categorical Data New York : John Wiley. .
   Google Scholar
• Binder , D. A. 1983 . “On the Variances of Asymptotically Normal Estimators From Complex Surveys,” . International Statistical Review , 51 : 279 – 292 .
   Web of Science ®Google Scholar
• Chambless , L. E. and Boyle , K. E. 1985 . “Maximum Likelihood Methods for Complex Sample Data: Logistic Regression and Discrete Proportional Hazards Models,” . Communications in Statistics, Part A—Theory and Methods , 14 : 1377 – 1392 .
   Web of Science ®Google Scholar
• Clogg , C. C. 1982 . “Some Models for the Analysis of Association in Multiway Cross-Classifications Having Ordered Categories,” . Journal of the American Statistical Association , 77 : 803 – 815 .
   Web of Science ®Google Scholar
• Cochran , W. G. 1954 . “Some Methods for Strengthening the Common Chi-Squared Test,” . Biometrics , 10 : 417 – 451 .
   Web of Science ®Google Scholar
• Conaway , M. R. 1989 . “Analysis of Repeated Categorical Measurements With Conditional Likelihood Methods,” . Journal of the American Statistical Association , 84 : 53 – 62 .
   Web of Science ®Google Scholar
• Flowers , R. J. 1987 . “A Maximum Likelihood Procedure for Defining Regression Models for Categorical Data,” . Estadistica , 39 : 37 – 54 .
   Google Scholar
• Fuller , W. A. , Kennedy , W. , Schnell , D. , Sullivan , G. and Park , H. J. 1986 . PC Carp Ames : Iowa State University, Statistical Laboratory. .
   Google Scholar
• Gill , J. L. 1978 . Design and Analysis of Experiments in the Animal and Medical Sciences Ames : Iowa State University Press. .
   Google Scholar
• Goodman , L. A. 1979 . “Simple Models for the Analysis of Association in Cross-Classifications Having Ordered Categories,” . Journal of the American Statistical Association , 74 : 537 – 552 .
   Web of Science ®Google Scholar
• Goodman , L. A. and Kruskal , W. H. 1963 . “Measures of Association for Cross Classifications III: Approximate Sampling Theory,” . Journal of the American Statistical Association , 58 : 310 – 364 .
   Web of Science ®Google Scholar
• Haber , M. 1985 . “Maximum Likelihood Methods for Linear and Log-Linear Models in Categorical Data,” . Computational Statistics & Data Analysis , 3 : 1 – 10 .
   Web of Science ®Google Scholar
• Harrell , F. E. 1986 . The LOGIST Procedure, SUGI Supplemental Library User's Guide, , Version 5 ed. Cary , NC : SAS Institute. .
   Google Scholar
• Imrey , P. B. , Koch , G. G. , Stokes , M. E. , Darroch , J. N. , Freeman , D. H. and Tolley , H. D. 1981 . “Categorical Data Analysis: Some Reflections on the Log Linear Model and Logistic Regression, Part I,” . International Statistical Review , 49 : 265 – 283 .
   Web of Science ®Google Scholar
• Koch , G. G. , Amara , I. A. , Davis , G. W. and Gillings , D. B. 1982 . “A Review of Some Statistical Methods for Covariance Analysis of Categorical Data,” . Biometrics , 38 : 563 – 595 .
   PubMed Web of Science ®Google Scholar
• Koch , G. G. and Bhapkar , V. P. 1982 . “Chi-Square Tests”. ” . In Encyclopedia of Statistical Sciences Edited by: Johnson , N. L. and Kotz , S. Vol. 1 , 442 – 457 . New York : John Wiley. .
   Google Scholar
• Koch , G. G. , Carr , G. J. , Amara , I. A. , Stokes , M. E. and Uryniak , T. J. 1989 . “Categorical Data Analysis”. ” . In Statistical Methodology in the Pharmaceutical Sciences Edited by: Berry , D. A. 391 – 475 . New York : Marcel Dekker. .
   Google Scholar
• Koch , G. G. and Edwards , S. 1988 . “Clinical Efficacy Trials With Categorical Data”. ” . In Biopharmaceutical Statistics for Drug Development Edited by: Peace , K. E. 403 – 457 . New York : Marcel Dekker. .
   Google Scholar
• Koch , G. G. , Imrey , P. B. , Singer , J. M. , Atkinson , S. S. and Stokes , M. E. 1985 . Analysis of Categorical Data Montreal : University of Montreal Press. .
   Google Scholar
• Koch , G. G. , Landis , J. R. , Freeman , J. L. , Freeman , D. H. and Lehnen , R. G. 1977 . “A General Methodology for the Analysis of Experiments With Repeated Measurement of Categorical Data,” . Biometrics , 33 : 133 – 158 .
   PubMed Web of Science ®Google Scholar
• Koch , G. G. , Sen , P. K. and Amara , I. A. 1985 . “Logrank Scores, Statistics and Tests”. ” . In Encyclopedia of Statistical Sciences Edited by: Johnson , N. L. and Kotz , S. Vol. 5 , 136 – 142 . New York : John Wiley. .
   Google Scholar
• Kuritz , S. J. , Landis , J. R. and Koch , G. G. 1988 . “A General Overview of Mantel-Haenszel Methods: Applications and Recent Developments,” . Annual Review of Public Health , 9 : 123 – 160 .
   PubMed Web of Science ®Google Scholar
• Lehmann , E. L. 1975 . Nonparametrics: Statistical Methods Based on Ranks San Francisco : Holden-Day. .
   Google Scholar
• Mantel , N. 1963 . “Chi-Square Tests With One Degree of Freedom: Extensions of the Mantel–Haenszel Procedure,” . Journal of the American Statistical Association , 58 : 690 – 700 .
   Web of Science ®Google Scholar
• McCullagh , P. and Nelder , J. A. 1983 . Generalized Linear Models London : Chapman & Hall. .
   Google Scholar
• Rao , J. N. K. and Scott , A. J. 1981 . “The Analysis of Categorical Data From Complex Sample Surveys: Chi-Squared Tests for Goodness of Fit and Independence in Two-Way Tables,” . Journal of the American Statistical Association , 76 : 221 – 230 .
   Web of Science ®Google Scholar
• Rao , J. N. K. and Scott , A. J. 1984 . “On Chi-Squared Tests for Multiway Contingency Tables With Cell Properties Estimated From Survey Data,” . The Annals of Statistics , 12 : 46 – 60 .
   Web of Science ®Google Scholar
• SAS Institute Inc . 1985 . SAS/IML User's Guide, , Version 5 ed. Cary , NC : Author. .
   Google Scholar
• SAS Institute Inc . 1987 . “The CATMOD Procedure” and “The FREQ Procedure”. ” . In SAS/STAT Guide for Personal Computers (Version 6 ed.) 189 – 282 . 519 – 548 . Cary , NC : Author. .
   Google Scholar
• Searle , S. E. 1971 . Linear Models New York : John Wiley. .
   Google Scholar
• Shah , B. V. , Folsom , R. E. , Harrell , F. E. and Dillard , C. N. 1984 . Survey Data Analysis Software for Logistic Regression Research Triangle Park , NC : Research Triangle Institute. .
   Google Scholar
• Shah , B. V. , LaVange , L. M. , Barnwell , B. G. , Killinger , J. E. and Wheeless , S. C. 1989 . SUDAAN: Procedures for Descriptive Statistics User Guide Research Triangle Park , NC : Research Triangle Institute. .
   Google Scholar
• Stram , D. O. , Wei , L. J. and Ware , J. H. 1988 . “Analysis of Repeated Ordered Categorical Outcomes With Possibly Missing Observations and Time-Dependent Covariates,” . Journal of the American Statistical Association , 83 : 631 – 637 .
   Web of Science ®Google Scholar
• Van Elteren , P. H. 1960 . “On the Combination of Independent Two-Sample Tests of Wilcoxon,” . Bulletin of the International Statistical Institute , 37 : 351 – 361 .
   Google Scholar
• Walker , S. H. and Duncan , D. B. 1967 . “Estimation of the Probability of an Event as a Function of Several Independent Variables,” . Biometrika , 54 : 167 – 179 .
   PubMed Web of Science ®Google Scholar
• Wolter , K. M. 1985 . Introduction to Variance Estimation New York : Springer-Verlag. .
   Google Scholar
• Zeger , S. L. , Liang , K. Y. and Albert , P. S. 1988 . “Models for Longitudinal Data: A Generalized Estimating Equation Approach,” . Biometrics , 44 : 1049 – 1060 .
   PubMed Web of Science ®Google Scholar