TY - JOUR
T1 - An extended study into the relationship between correspondence analysis and latent class analysis
AU - Van Der Heijden, Peter G.M.
AU - Gilula, Zvi
AU - Van Der Ark, L. Andries
PY - 1999
Y1 - 1999
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0040799912&partnerID=8YFLogxK
U2 - 10.1111/0081-1750.00063
DO - 10.1111/0081-1750.00063
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AN - SCOPUS:0040799912
SN - 0081-1750
VL - 29
SP - 147
EP - 186
JO - Sociological Methodology
JF - Sociological Methodology
IS - 1
ER -