5. An Extended Study into the Relationship between Correspondence Analysis and Latent Class Analysis
| Autor: | P.G.M. Van der Heijden, L.A. van der Ark, Zvi Gilula |
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| Rok vydání: | 1999 |
| Předmět: |
Multivariate statistics
Sociology and Political Science 05 social sciences 050401 social sciences methods Frequency data Bivariate analysis 01 natural sciences Latent class model Correspondence analysis Research objectives 010104 statistics & probability Range (mathematics) 0504 sociology Econometrics 0101 mathematics Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Sociological Methodology. 29:147-186 |
| ISSN: | 1467-9531 0081-1750 |
| DOI: | 10.1111/0081-1750.00063 |
| Popis: | Researchers dealing with frequency data today can choose from a vast range of methods, descriptive and inferential. Two such well-known and useful methods are correspondence analysis and latent class analysis. Although these two methods were initially used for different research objectives, they are mathematically related to each other. Relations between these methods, however, have only been reported in the literature regarding the bivariate case. In this paper, we extend the study of such relations to the multivariate case. In particular the multivariate X latent class model is shown to imply the (relatively new) joint multivariate correspondence model with X − 1 positive eigenvalues. Such relations allow the underlying methods to be treated as variants of the same conceptual idea, providing some new meaningful aspects, which may help researchers better interpret the findings of their investigation. |
| Databáze: | OpenAIRE |
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