The analysis of dependence for three ways contingency tables with ordinal variables: A case study of patient satisfaction data

References

• Beh , E. J. 1997 . Simple correspondence analysis of ordinal cross-classifications using orthogonal polynomials . Biom. J. , 39 : 589 – 613 .
   Web of Science ®Google Scholar
• Beh , E. J. 2001 . Partitioning Pearson's chi-squared statistic for singly ordered two-way contingency tables . Aust. N.Z. J. Stat. , 43 : 327 – 333 .
   Web of Science ®Google Scholar
• Beh , E. J. 2004 . Simple correspondence analysis: A bibliographic review . Int. Stat. Rev. , 72 : 257 – 284 .
   Web of Science ®Google Scholar
• Beh , E. J. and Davy , P. J. 1998 . Partitioning Pearson's chisquared statistic for a completely ordered three-way contingency table . Aust. N.Z. J. Stat. , 40 : 465 – 477 .
   Web of Science ®Google Scholar
• Beh , E. J. and Davy , P. J. 1999 . Partitioning Pearson's chi-squared statistic for a partially ordered three-way contingency table . Aust. N.Z. J. Stat. , 41 : 233 – 246 .
   Web of Science ®Google Scholar
• Beh , E. J. and Davy , P. J. 2004 . A non-iterative alternative to ordinal log-linear models . J. Appl. Math. Decis. Sci. , 8 : 67 – 86 .
   Google Scholar
• Beh , E. J. and Farver , T. B. An evaluation of non-iterative methods for estimating the linear-by-linear parameter of ordinal log-linear models . Aust. N.Z. J. Stat. , in press
   Web of Science ®Google Scholar
• Beh , E. J. , Simonetti , B. and D'Ambra , L. 2007 . Partitioning a non-symmetric measure of association for three-way contingency tables . J. Multivariate Anal. , 98 : 1391 – 1411 .
   Web of Science ®Google Scholar
• Bendixen , M. 1996 . A practical guide to the use of correspondence analysis in marketing research . Mark. Res. On-Line , 1 : 16 – 38 .
   Google Scholar
• Carroll , J. D. and Chang , J.-J. 1970 . Analysis of individual differences in multi-dimensional scaling via an N-way generalisation of “Eckart-Young” decomposition . Psychometrika , 35 : 283 – 319 .
   Web of Science ®Google Scholar
• Carroll , J. D. and Green , P. E. 1988 . An INDSCAL-based approach to multiple correspondence analysis . J. Mark. Res. , 25 : 193 – 203 .
   Web of Science ®Google Scholar
• D'Ambra , L. , Amenta , P. , Gallo , M. , Lombardo , R. , Maccarone , S. and Sarnacchiaro , P. 2004 . “ Analisi statistica multivariata per la valuazione della patient sastifaction ” . In Qualitá e Valutazione delle Strutture Sanitarie Edited by: Pagano , A. and Vittadini , G. 213 – 244 . ETAS
   Google Scholar
• D'Ambra , L. , Beh , E. J. and Amenta , P. 2005 . CATANOVA for two-way contingency tables with ordinal variables using orthogonal polynomials . Commun. Stat. Theory and Methods , 34 : 1755 – 1770 .
   Web of Science ®Google Scholar
• Darroch , P. J. 1991 . A canonical expansion model for multivariate media exposure distributions: A generalization of the “Duplication of viewing law” . J. Mark. Res. , 28 : 361 – 367 .
   Web of Science ®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
• Goodman , L. A. and Kruskal , W. H. 1954 . Measures of association for cross-classifications . J. Am. Stat. Assoc. , 49 : 732 – 764 .
   Web of Science ®Google Scholar
• Gray , L. N. and Williams , J. S. 1975 . Goodman and Kruskal's tau: multiple and partial analogs . Proceedings of the Social Statistics Section of the American Statistical Association , : 444 – 448 .
   Google Scholar
• Greenacre , M. J. 1984 . Theory and Application of Correspondence Analysis , London : Academic Press .
   Google Scholar
• Harshman , R. A. 1970 . Foundations of the PARAFAC procedure: models and conditions for an “explanatory” multi-modal factor analysis . UCLA Work. Pap. Phon. , 16 : 1 – 84 .
   Google Scholar
• Hill , M. O. and Gauch , H. G. Jr. 1980 . Detrended correspondence analysis: an improved ordination technique . Vegetatio , 42 : 47 – 58 .
   Google Scholar
• Hoffman , D. L. and Franke , G. R. 1986 . Correspondence analysis: Graphical representation of categorical data in marketing research . J. Mark. Res. , 23 : 213 – 227 .
   Web of Science ®Google Scholar
• Hoffman , D. L. , de Leeuw , J. and Arjunji , R. V. 1994 . “ Multiple correspondence analysis ” . In Advanced Methods of Marketing Research , Edited by: Bagozzi , R. P. 260 – 294 . Cambridge : Blackwell Publishers .
   Google Scholar
• Kaciak , E. and Louviere , J. 1990 . Multiple correspondence analysis of multiple choice experiment data . J. Mark. Res. , 27 : 455 – 465 .
   Web of Science ®Google Scholar
• Light , R. J. and Margolin , B. H. 1971 . An analysis of variance for categorical data . J. Am. Stat. Assoc. , 66 : 534 – 544 .
   Web of Science ®Google Scholar
• Lombardo , R. 1994 . Modelli di Decomposizione per l'Analisi della Dipendenza nelle Tabelle di Contingenza a tre vie , Departimento di Matematica e Statistica . Unpublished PhD Thesis, Università degli studi di Napoli “Federico II,” 1994
   Google Scholar
• Lombardo , R. , Beh , E. J. and D'Ambra , L. 2007 . Non-symmetric correspondence analysis for doubly ordinal contingency tables . Comput. Stat. Data Anal. , 52 : 566 – 577 .
   Web of Science ®Google Scholar
• Marcotorchino , F. 1985 . Utilisation des Comparaisons par Pairesen Statistiquedes Contingencies: Partie III , France : Etude du Centre Scientifique, IBM . Report F081
   Google Scholar
• Nishisato , S. and Gaul , W. 1990 . An approach to marketing data: The forced classification procedure of dual scaling . J. Mark. Res. , 27 : 354 – 360 .
   Web of Science ®Google Scholar
• O'Brien , T. 1993 . Correspondence analysis . Mark. Res. , 5 : 54 – 56 .
   Google Scholar
• Oksanen , J. 1987 . Problems of joint displays of species and site scores in correspondence analysis . Vegetatio , 72 : 51 – 57 .
   Google Scholar
• Oksanen , J. 1998 . A note on the occasional instability of detrending in correspondence analysis . Vegetatio , 74 : 29 – 32 .
   Google Scholar
• Parasuraman , A. , Zeithaml , V. A. and Berry , L. L. 1985 . A conceptual model of service quality and its implications for future research . J. Mark. , 49 : 41 – 50 .
   Web of Science ®Google Scholar
• Parasuraman , A. , Zeithaml , V. A. and Berry , L. L. 1988 . SERVQUAL: A multiple-item scale for measuring customer perceptions of service quality . J. Retail. , 64 : 12 – 40 .
   Web of Science ®Google Scholar
• Torres , A. and Greenacre , M. 2002 . Dual scaling and correspondence analysis of preferences, paired comparisons and ratings . Int. J. Res. Mark. , 19 : 401 – 405 .
   Web of Science ®Google Scholar
• Tucker , L. R. 1963 . “ Implication of factor analysis of three-way matrices for measurement of change ” . In Problems in Measuring Change , Edited by: Harris , C. W. 122 – 137 . Madison : University of Wisconsin Press .
   Google Scholar
• Wartemberg , D. S. , Ferson , S. and Rohlf , F. J. 1987 . Putting things in order: A critique of detrended correspondence analysis . Am. Nat. , 129 : 434 – 448 .
   Web of Science ®Google Scholar
• Whitlark , D. B. and Smith , S. M. 2001 . Using correspondence analysis to map relationships . Mark. Res. , 13 : 22 – 27 .
   Google Scholar