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Linear Logistic Latent Class Analysis
Author(s) -
Formann Anton K.
Publication year - 1982
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710240209
Subject(s) - latent class model , mathematics , statistics , latent variable , class (philosophy) , latent variable model , goodness of fit , logistic regression , local independence , extension (predicate logic) , econometrics , computer science , artificial intelligence , programming language
In the present paper the linear logistic extension of latent class analysis is described. Thereby it is assumed that the item latent probabilities as well as the class sizes can be attributed to some explanatory variables. The basic equations of the model state the decomposition of the log‐odds of the item latent probabilities and of the class sizes into weighted sums of basic parameters representing the effects of the predictor variables. Further, the maximum likelihood equations for these effect parameters and statistical tests for goodness‐of‐fit are given. Finally, an example illustrates the practical application of the model and the interpretation of the model parameters.