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Goodness-of-fit measures for multiple correspondence analysis

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Abstract

This paper presents three results: (1) It is shown that the explained variance criterion is inappropriate for multiple correspondence analysis (MCA). (2) There are two strategies to interpret a MCA configuration: factor analytical interpretation and cluster analytical interpretation. Goodness-of-fit measures for both interpretations are constructed. (3) These measures give (a) a more adequate picture of the model fit and (b) allow to differentiate whether a factor analytical interpretation or a cluster analytical interpretation is more adequate.

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References

  • Andersen, E. B. (1991).The Statistical Analysis of Categorical Data. 2nd edition, Berlin-Heidelberg-New-York: Springer Press.

    Google Scholar 

  • Bacher, J. (1994)Clusteranalyse. München-Wien: Oldenbourg Verlag.

    Google Scholar 

  • Carroll, J. D. and P. Green (1988). An INDSCAL-Based Approach to Multiple Correspondence Analysis,Journal of Marketing Research XXV: 193–203.

    Google Scholar 

  • Carroll, J. D., P. E. Green, and C. M. Schaffer (1986). Interpoint Distance Comparisons in Correspondence Analysis,Journal of Marketing Research XXIII: 271–280.

    Google Scholar 

  • Carroll, J. D., P. E. Green and C. M. Schaffer (1989). Reply to Greenacre's Commentary on the Carrol-Green-Schaffer Scaling of Two-Way Correspondence Analysis Solutions”.Journal of Marketing Research XXVI: 366–368.

    Google Scholar 

  • Greenacre, M. J. (1989a).Theory and Application of Correspondence Analysis. 2nd edition London: Academic Press.

    Google Scholar 

  • Greenacre, M. J. (1989b). The Carroll-Green-Schaffer Scaling in Correspondence Analysis: A Theoretical and Empirical Appraisal.Journal of Marketing Research XXV: 358–365.

    Google Scholar 

  • Holman, E. W. (1972). The Relation between Hierarchical and Euclidean Models of Psychological Distances,Psychometrika 37: 417–423.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Sociology, Department of Social Research Methods, University of Linz, A-4040, Linz, Austria

    Johann Bacher

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  1. Johann Bacher
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Bacher, J. Goodness-of-fit measures for multiple correspondence analysis. Qual Quant 29, 1–16 (1995). https://doi.org/10.1007/BF01107980

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  • DOI: https://doi.org/10.1007/BF01107980

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