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factor analysis of a set of contingency tables

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  • Zárraga Castro, María Amaya
  • Goitisolo Lezama, Beatriz

Abstract

[EN] The aim of this paper is to develope a factor method for the simultaneous analysis of several contingency tables. As in multiple correspondence analysis, the method studies similarity among rows, among columns and also the relationships between rows and columns. In the simultaneos analysis two rows are said to be similar if they are similar in the correspondence analysis of each table. With the poposed method it is possible to analyze several real contingency tables, and those belonging to the same survey in different countries or different years, and different surveys over the same population. The method tries to find the general trends in the tables, without allowing one of them predominate over the others. The method extends to the analysis of a set of surveys if the data over the different groups of people are coded in complete disjunctive tables juxtaposed over the modalities and is also extendable to factor analysis of incomplete disjunctive tables with conditional questions.

Suggested Citation

  • Zárraga Castro, María Amaya & Goitisolo Lezama, Beatriz, 2000. "factor analysis of a set of contingency tables," BILTOKI 1134-8984, Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística).
    • Handle: RePEc:ehu:biltok:5786
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    File URL: https://addi.ehu.es/handle/10810/5786
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    References listed on IDEAS

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    1. J. Carroll & Jih-Jie Chang, 1970. "Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition," Psychometrika, Springer;The Psychometric Society, vol. 35(3), pages 283-319, September.
    2. Ledyard Tucker, 1972. "Relations between multidimensional scaling and three-mode factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 37(1), pages 3-27, March.
    3. J. Gower, 1975. "Generalized procrustes analysis," Psychometrika, Springer;The Psychometric Society, vol. 40(1), pages 33-51, March.
    4. Ledyard Tucker, 1958. "An inter-battery method of factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 23(2), pages 111-136, June.
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