Catanova for Two-Way Contingency Tables with Ordinal Variables Using Orthogonal Polynomials

References

• Agresti , A. ( 1990 ). Categorical Data Analysis. New York : Wiley .
   Google Scholar
• Agresti , A. ( 1996 ). An Introduction to Categorical Data Analysis . New York : Wiley .
   Google Scholar
• Anderson , R. J. , Landis , J. R. ( 1980 ). CATANOVA for multidimensional contingency tables: Nominal-scale response . Commun. Statist. Theor. Meth. 9 : 1191 – 1206 .
   Web of Science ®Google Scholar
• Anderson , R. J. , Landis , J. R. ( 1982 ). CATANOVA for multidimensional contingency tables: Ordinal-scale response . Commun. Statist. Theor. Meth. 11 : 257 – 270 .
   Web of Science ®Google Scholar
• Beh , E. J. ( 1997 ). Simple correspondence analysis of ordinal cross-classifications using orthogonal polynomials . Biometrical J. 39 : 589 – 613 .
   Web of Science ®Google Scholar
• Beh , E. J. ( 1998 ). A comparative study of scores for correspondence analysis with ordered categories . Biometrical J. 40 : 413 – 429 . [CROSSREF]
   Web of Science ®Google Scholar
• Beh , E. J. ( 2001 ). Partitioning Pearson's chi-square statistic for singly ordered two-way contingency tables . Austral. New Zealand J. Statist. 43 : 327 – 333 . [CROSSREF]
   Web of Science ®Google Scholar
• Beh , E. J. , Davy , P. J. ( 1998 ). Partitioning Pearson's chi-square statistic for a completely ordered three-way contingency table . Austral. New Zealand J. Statist. 40 : 465 – 477 . [CROSSREF]
   Web of Science ®Google Scholar
• D'Ambra , L. , Lauro , N. ( 1989 ). Non symmetrical analysis of three way contingency tables. In: Coppi , R. , Bolasco , S. , eds. Multiway Data Analysis. Amsterdam : North Holland , 301 – 315 .
   Google Scholar
• D'Ambra , L. , Lombardo , R. , Amenta , P. ( 2000 ). Multivariate co-inertia analysis for qualitative data by partial least squares . J. Ital. Statist. Soc. 9 : 23 – 37 .
   Google Scholar
• Emerson , P. L. ( 1968 ). Numerical construction of orthogonal polynomials from a general recurrence formula . Biometrics 24 : 696 – 701 .
   Web of Science ®Google Scholar
• Gini , C. W. ( 1912 ). Variabilitá e Mutabilitá. Contributo allo studio delle distribuzioni e relazioni statistiche, Studi Economico-Giuridici della R. Universitá di Cagliari.
   Google Scholar
• Goodman , L. A. , Kruskal , W. H. ( 1954 ). Measures of association for cross-classifications . J. Amer. Statist. Assoc. 49 : 732 – 764 .
   Web of Science ®Google Scholar
• Gray , L. N. , Williams , J. S. ( 1975 ). Goodman & Kruskal tau: multiple and partial analogs . Proc. Soc. Statist. Section of the Amer. Statist. Assoc. 444 – 448 .
   Google Scholar
• Grizzle , J. E. , Starmer , C. F. , Koch , G. G. ( 1969 ). Analysis of categorical data by linear models . Biometrics 25 : 489 – 504 . [PUBMED] [INFOTRIEVE]
   PubMed Web of Science ®Google Scholar
• Light , R. J. , Margolin , B. H. ( 1971 ). An analysis of variance for categorical data . J. Amer. Statist. Assoc. 66 : 534 – 544 .
   Web of Science ®Google Scholar
• Margolin , B. H. , Light , R. J. (1974). An analysis of variance for categorical data II. Small samples comparisons with chi-square and other competitors. J. Amer. Statist. Assoc. 69:755–544.
   Web of Science ®Google Scholar
• McCullagh , P. ( 1980 ). Regression models for ordinal data . J. Roy. Statist. Soc. Series B 42 : 109 – 142 .
   Google Scholar
• Nair , V. N. ( 1986 ). Testing industrial experiments with ordered categorical data . Technometrics 28 : 283 – 311 .
   Web of Science ®Google Scholar
• Nishisato , S. , Arri , P. S. ( 1975 ). Non-linear programming approach to optimal scaling of partially ordered categories . Psychometrika 40 : 525 – 547 .
   Web of Science ®Google Scholar
• Rayner , J. C. W. , Best , D. J. ( 1996 ). Smooth extensions of Pearson's product moment correlation and Spearman's rho . Statist. Probab. Lett. 30 ( 2 ): 171 – 177 . [CROSSREF]
   Google Scholar
• Rayner , J. C. W. , Best , D. J. ( 2000 ). Analysis of singly ordered two-way contingency tables . J. Appl. Math. Dec. Sci. 4 : 83 – 98 .
   Google Scholar
• Simon , G. ( 1974 ). Alternative analysis for the singly ordered contingency table . J. Amer. Statist. Assoc. 69 : 971 – 976 .
   Web of Science ®Google Scholar
• Singh , B. ( 1993 ). On the analysis of variance method for nominal data . Sankhya B 55 : 40 – 47 .
   Google Scholar
• Williams , O. D. , Grizzle , J. E. ( 1972 ). Analysis of contingency tables having ordered response categories . J. Amer. Statist. Assoc. 67 : 55 – 63 .
   Web of Science ®Google Scholar