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Latent class analysis with ordered latent classe
Author(s) -
Croon Marcel
Publication year - 1990
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1990.tb00934.x
Subject(s) - latent class model , mathematics , probabilistic latent semantic analysis , monotonic function , item response theory , local independence , class (philosophy) , latent variable , latent variable model , econometrics , set (abstract data type) , statistics , computer science , artificial intelligence , psychometrics , mathematical analysis , programming language
In this paper a latent class model is described in which the latent classes are ordered imposing inequality constraints on item response and cumulative response probabilities from subsequent latent classes. These inequality constraints are derived from the basic assumption that, when the latent classes may be ordered from low to high along the latent continuum, the probability of a ‘positive’ response should increase monotonically as one moves along this continuum. An algorithm to obtain the maximum likelihood estimates of the model parameters is proposed and is applied to a real data set.