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THE STUDY OF CELLS IN THE ANALYSIS OF CONTINGENCY TABLES FROM THE VIEWPOINT OF RUDAS, CLOGG AND LINDSAY MIXTURE INDEX OF FIT.

Keywords: Latent Class Analysis , Rudas-Clogg-Lindsay Mixture Index of Fit , Residual Analysis

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Abstract:

In this paper the state of the art of the mixture index of fit, proposed by Rudas, Clogg &Lindsay in 1994 is presented. The analysis of the unstructured latent class considered as a residual analysis of a new kind is discussed. It is concluded that it is most adequate whenever the lack of fit is due to the existence of “spare” individuals, but it is not the same if there are “lacking” individuals in several cells. At last, the influence of a cell on the lack of fit of a model is defined, which can be used as a complementary descriptive measure in the usual residual analysis and in the configural frequency analysis.

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