Ws. Desarbo et al., A LATENT CLASS PROCEDURE FOR THE STRUCTURAL-ANALYSIS OF 2-WAY COMPOSITIONAL DATA, Journal of classification, 10(2), 1993, pp. 159-193
Citations number
57
Categorie Soggetti
Social Sciences, Mathematical Methods","Mathematical, Methods, Social Sciences
This paper develops a new procedure for simultaneously performing mult
idimensional scaling and cluster analysis on two-way compositional dat
a of proportions. The objective of the proposed procedure is to deline
ate patterns of variability in compositions across subjects by simulta
neously clustering subjects into latent classes or groups and estimati
ng a joint space of stimulus coordinates and class-specific vectors in
a multidimensional space. We use a conditional mixture, maximum likel
ihood framework with an E-M algorithm for parameter estimation. The pr
oposed procedure is illustrated using a compositional data set reflect
ing proportions of viewing time across television networks for an area
sample of households.