Multiple correspondence analysis: one only or several techniques?

Quality and Quantity

Volumn 50, Issue 3, 2016, Pages 1299-1315

  Di Franco, Giovanni ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Analyse des donn es; Biplot; Categorical principal components analysis; Data theory scaling system; Homogeneity analysis; Multiple correspondence analysis; Optimal scaling

Indexed keywords

EID: 84928151707     PISSN: 00335177     EISSN: 15737845     Source Type: Journal    
DOI: 10.1007/s11135-015-0206-0     Document Type: Article

References (49)

1. Benzécri, J.P.: Statistical analysis as a tool to make patterns emerge from data. In: Watanabe, S. (ed.) Methodologies of Pattern Recognition, pp. 35–74. Academic Press, New York (1969)
2. Benzécri, J.P.: L’Analyse des Données. Tome I. La Taxinomie. Tome II. L’Analyse des Corrispondances, Dunod (1973)
3. Benzécri, J.P.: Corrispondence Analysis Handbook. Dekker, New York (1992)
4. Bolasco, S.: Analisi multidimensionale dei dati. Metodi, strategie e criteri d’interpretazione, Carocci, Rome (1999)
5. Burt, C.: The factorial analysis of qualitative data. Br. J. Psychol. 3, 166–185 (1950)
6. Clausen, S.E.: Applied Corrispondence Analysis. Sage, London (1998)
7. de Leeuw, J.: Canonical Analysis of Categorical Data. DSWO Press, Leiden (1984)
8. Di Franco, G.: Analisi delle Corrispondenze e Altre Tecniche Multivariate Per Variabili Categoriali. FrancoAngeli, Milan (2006)
9. Di Franco, G.: Tecniche e Modelli di Analisi Multivariata. FrancoAngeli, Milan (2011)
10. Di Franco, G.: Toward a simple structure: a comparison of different rotation techniques. Qual. Quant. 48, 1785–1797 (2014)
11. Di Franco, G., Marradi, A.: Factor Analysis and Principal Component Analysis. FrancoAngeli, Milan (2013)
12. Fisher, R.A.: Statistical Methods for Research Workers. Oliver & Boyd, Edinburgh (1938)
13. Fisher, R.A.: The precision of discriminant functions. Ann. Eugen. 10, 422–429 (1940)
14. Gifi, A.: Nonlinear Multivariate Analysis. University of Leiden, Leiden (1981)
15. Gifi, A.: Nonlinear Multivariate Analysis. Wiley, New York (1990)
16. Gilula, Z., Haberman, S.J.: The analysis of multivariate contingency tables by restricted canonical and restricted association models. J. Am. Stat. Assoc. 83, 760–771 (1988)
17. Goodman, L.A.: New methods for analyzing the intrinsic character of qualitative variables using cross-classified data. Am. J. Sociol. 93, 529–583 (1987)
18. Gower, J.C., Harding, S.A.: Nonlinear biplots. Biometrika 75, 445–455 (1988)
19. Greenacre, M.: Theory and Applications of Correspondence Analysis. Academic Press, London-New York (1984)
20. Greenacre, M.: Correspondence Analysis in Practice. Academic Press, London (1993)
21. Greenacre, M.: Correspondence analysis and its interpretation. In: Greenacre, M., Blasius, J. (eds.) Correspondence Analysis in the Social Sciences: Recent Developments and Applications, pp. 3–22. Academic Press, San Diego (1994)
22. Greenacre, M., Blasius, J. (eds.): Correspondence Analysis in the Social Sciences: Recent Developments and Applications. Academic Press, San Diego (1994)
23. Guttman, L.: The quantification of a class of attributes. A theory and method of scale construction. In: Horst, P., et al. (eds.) The Prediction of Personal Adjustment, pp. 319–348. The Social Science Research Council, New York (1941)
24. Guttman, L.: A basis for scaling qualitative data. Am. Sociol. Rev. 9, 139–150 (1944)
25. Guttman, L.: The principal components of scale analysis. In: Stouffer, S.A., et al. (eds.) Measurement and Prediction, pp. 312–361. Princeton University Press, Princeton (1950)
26. Guttman, L.: Meticizing rank-order or unordered data for a linear factor analysis. Sankhya 21, 257–268 (1959)
27. Hayashi, C.: On the prediction of phenomena from qualitative data and the quantification of qualitative data from the mathematico-statistical point of view. Ann. Inst. Stat. Math. 2, 93–96 (1952)
28. Hill, M.O.: Correspondence analysis: a neglected multivariate method. Appl. Stat. 23, 340–354 (1974)
29. Hirschfeld, H.O.: A connection between correlation and contingency. Camb. Philos. Soc. Proc. 31, 520–524 (1935)
30. Horst, P.: Measuring complex attitudes. J. Soc. Psychol. 6, 369–374 (1935)
31. Lebart, L., Morineau, A.: SPAD—Tome III: Analyse des Données Textuelles. Cisia, Paris (1984)
32. Lebart, L., Morineau, A., Bécue, M.: SPAD.T Systeme Portable puor l’Analyse des Données Textuelles. Cisia, Paris (1989)
33. Lebart, L., Morineau, A., Lambert. T., et al.: SPAD.N Manuel de Référence. Cisia, Paris (1987)
34. Lebart, L., Morineau, A., Warwick, K.: Multivariate Descriptive Statistical Analysis. Correspondence Analysis and Related Techniques for Large Matrices. Wiley, New York (1984)
35. Meulman, J.J.: A Distance Approach to Nonlinear Multivariate Analysis. DSWO Press, Leiden (1986)
36. Meulman, J.J.: The integration of multidimensional scaling and multivariate analysis with optimal transformations of the variables. Psychometrika 57, 539–565 (1992)
37. Meulman, J.J.: Fitting a distance model to homogeneous subsets of variables: points of view analysis of categorical data. J. Classif. 13, 249–266 (1997)
38. Nishisato, S.: Analysis of Categorical Data: Dual Scaling and its Applications. University of Toronto Press, Toronto (1980)
39. Nishisato, S.: Elements of Dual Scaling: An introduction to Practical Data Analysis. Lawrence Erlbaum, Hillsdale (1994)
40. Nishisato, S., Sheu, W.J.: Piecewise method of reciprocal averages for dual scaling of multiple-choice data. Psychometrika 45, 467–478 (1980)
41. SPSS inc.: SPSS Category. SPSS, Chicago (1990)
42. Tenenhaus, M., Young, F.W.: An analysis and synthesis of multiple correspondence analysis, optimal scaling, dual scaling, homogeneity analysis, and other methods for quantifying multivariate data. Psychometrika 50, 91–119 (1985)
43. Van der Heiden, P.G.M.: Transition matrices, model fitting and correspondence analysis. In: Diday, B., et al. (eds.) Data Analysis and Informatics, pp. 221–226. Springer-Verlag, Berlin (1986)
44. Van der Heiden, P.G.M.: Correspondence Analysis of Longitudinal Categorical Data. DSWO Press, Leiden (1987)
45. Van der Heiden, P.G.M., de Leeuw, J.: Correspondence analysis used complementary to loglinear analysis. Psychometrika 50, 429–447 (1985)
46. Weller, S.C., Romney, A.K.: Metric Scaling. Correspondence Analysis. Sage, London (1990)
47. Young, F.W.: Quantitative analysis of qualitative data. Psychometrika 46, 357–387 (1981)
48. Young, F.W., de Leeuw, J., Takane, Y.: Regression with qualitative and quantitative variables: an alternating least squares method with optimal scaling features. Psychometrika 41, 505–528 (1976)
49. Young, F.W., de Leeuw, J., Takane, Y.: The principal components of mixed measurement level multivariate data: an alternating least squares method with optimal scaling features. Psychometrika 49, 279–281 (1978)