Scoring under ordered constraints in contingency tables

Bibliography

• Agresti , A. 1990 . Categorical data analysis , New York : John Wiley & Sons .
   Google Scholar
• Agresti , A. , Mehta , Cyrus , Cyrus , R. and Patel , Nitin R. 1990b . Exact Inference for Contingency Tables with Ordered Categories . Journal of American Statistical Association , 85 : 453 – 458 .
   Web of Science ®Google Scholar
• Agresti , A. , Chung , C. and Kezouh , A. 1987 . Order Restricted Score Parameters in Association Models for Contingency Tables . Journal of American Statistical Association , 82 : 619 – 624 .
   Web of Science ®Google Scholar
• Benzécri , J. 1992 . Correspondence Analysis Handbook , New York : Dekker .
   Google Scholar
• Bockenholt , U. and Bockenholt , I. 1990 . Canonical Analysis of Contingency Tables With Linear Constraints . Psychometrika , 55 : 633 – 639 .
   Web of Science ®Google Scholar
• Bradley , R.A. , Katti , S.K. and Coons , I.J. 1962 . Optimal Scaling for Ordered Categories . Psychometrica , 27 : 355 – 374 .
   Web of Science ®Google Scholar
• Fisher , R.A. 1938 . Statistical Methods for Research Workers , Edinburgh : Oliver and Boyd .
   Google Scholar
• Gifi , A. 1990 . Nonlinear Multivariate Analysis , New York : John Wiley & Sons .
   Google Scholar
• Goodman , L.A. 1991 . Measures, Models, and Graphical Displays in the Analysis of Cross-Classified Data . Journal of American Statistical Association , 86 : 1085 – 1139 .
   Web of Science ®Google Scholar
• Goodman , L.A. 1979a . Simple Models for the Analysis of Associations in Cross Classified Data Having Ordered Categories . Journal of American Statistical Association , 74 : 537 – 552 .
   Web of Science ®Google Scholar
• Goodman , L.A. 1979b . Multiplicative Models for Square Contingency Tables with Ordered Categories . Biometrika , 66 : 413 – 418 .
   Web of Science ®Google Scholar
• Goodman , L.A. 1981a . Association Models and Canonical Correlation in the Analysis of Cross-Classification Having Ordered Categories . Journal of the American Statistical Association , 76 : 320 – 334 .
   Web of Science ®Google Scholar
• Goodman , L.A. 1981b . Association Models and the Bivariate Normal for Contingency Tables with Ordered Categories . Biometrika , 68 : 347 – 355 .
   Web of Science ®Google Scholar
• Goodman , L.A. 1984 . The Analysis of Cross-Classified Data Having Ordered Categories , Cambridge : Harvard University Press .
   Google Scholar
• Goodman , L.A. 1985 . The Analysis of Cross-Classified Data Having Ordered and/or Unordered Categories: association models,correlation models, and asymmetry models for contingency tables . International Statistical Review , 54 : 243 – 309 .
   Google Scholar
• Goodman , L.A. 1986 . 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 : 243 – 309 .
   Web of Science ®Google Scholar
• Greenacre , M.J. 1987 . The Geometric Interpretation of Correspondence Analysis . Journal of American Statistical Association , 82 : 437 – 448 .
   Web of Science ®Google Scholar
• Greenacre , M.J. 1984 . Correspondence Analysis , New York : Academic Press .
   Google Scholar
• Guttman , L. 1941 . “ The Quantification of a Class of Attributes: A Theory and Method of Scale Construction ” . In The Prediction of Personal Adjustment , Edited by: Horst , P. 319 – 348 . New York : Social Science Research Council .
   Google Scholar
• Hill , M. 1973 . Reciprocal Averaging: An Eigenvector Method of Ordination . Journal of Ecology , 61 : 237 – 251 .
   Web of Science ®Google Scholar
• Hill , M. 1974 . Correspondence Analysis: A Neglected Multivariate Method . Applied Statistician , 23 : 340 – 354 .
   Web of Science ®Google Scholar
• Horst , P. 1936 . Obtaining a Composite Measure From a Number of Different Measures of the Same Attribute . Psychometrika , 1 : 53 – 60 .
   Google Scholar
• IMSL . 1987 . Math/Library-Fortran Subroutines for Mathematical Applications , Houston : IMSL .
   Google Scholar
• Johnson , P. 1950 . The Quantification of Qualitative Data in Discriminant Analysis . Journal of American Statistical Association , 45 : 65 – 70 .
   Google Scholar
• Kendall , M. and Stuart , A. 1960 . The Advanced Theory of Statistics , Vol. 2 , London : Charles Griffin and Company .
   Google Scholar
• Lebart , L. , Morineau , A. and Warwick , K.M. 1984 . Multivariate Descriptive Statistical Analysis , New York : John Wiley & Sons .
   Google Scholar
• Mardia , K.V. , Kent , J.T. and Bibby , J.M. 1979 . Multivariate Analysis , London : Academic Press .
   Google Scholar
• Mosteller , F. 1949 . A Theory of Scalogram Analysis, Using Noncumulative Types of Items: A New Approach to Thurnastone’s Method of Scaling Attitude , Harvard University Laboratory of Social Relations . Report No. 9
   Google Scholar
• Nishisato , S. 1980 . Analysis of Categorical Data: Duel Scaling and It’s Applications , Toronto : University of Toronto Press .
   Google Scholar
• Nishisato , S. and Arri , P.S. 1975 . Nonlinear Programming Approach To Optimal Scaling of Partially Ordered Categories . Psychometrika , 40 : 525 – 548 .
   Web of Science ®Google Scholar
• Rao , C.R. 1964 . The Use and Interpretation of Principal Components Analysis in Applied Research . Sankhya Series A , 26 : 329 – 358 .
   Google Scholar
• Rao , C.R. 1973 . Linear Statistical Inference and Its Applications , New York : John Wiley & Sons .
   Google Scholar
• Takane , Y. 1987a . Analysis of Contingency Tables by Ideal Point Discriminant Analysis . Psychometrika , 52 : 493 – 513 .
   Web of Science ®Google Scholar
• Takane , Y. , Bozdogan , H. and Shibayama , T. 1987b . Ideal Point Discriminant Analysis . Psychometria , 52 : 371 – 392 .
   Web of Science ®Google Scholar
• Takane , Y. 1989 . Ideal Point Discriminant Analysis and Ordered Response Categories . Behaviormetrika , 26 : 31 – 46 .
   Google Scholar
• Takane , Y. and Yanai , H. in press . Relationships Among Several Methods of Linearly Constrained Correspondence Analysis . Psychometrika ,
   Google Scholar
• Tanaka , Y. and Kodake , K. 1980 . Computational Aspects of Optimal Scaling for Ordered Categories . Behaviormetrika , 7 : 35 – 46 .
   Google Scholar
• Tenenhaus , M. 1988 . Canonical Analysis of Two Convex Polyhedral Cones and Applications . Psychometrika , 53 : 503 – 524 .
   Google Scholar
• Tennehaus , M. and Young , F.W. 1985 . An Analysis and Synthesis of Multiple Correspondence Analysis, Optimal Scaling, Dual Scaling, Homogeneity Data . Psychometrika , 50 : 91 – 119 .
   Google Scholar
• Torgerson , S.W. 1958 . Theory and Methods of Scaling , New York : John Wiley & Sons .
   Google Scholar
• Wilks , S.S. 1938 . Weighting Systems for Linear Function of Correlated Variables When There is No Dependent Variable . Psychometrika , 3 : 23 – 40 .
   Web of Science ®Google Scholar