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Latent class logistic regression: application to marijuana use and attitudes among high school seniors
Author(s) -
Chung Hwan,
Flaherty Brian P.,
Schafer Joseph L.
Publication year - 2006
Publication title -
journal of the royal statistical society: series a (statistics in society)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.103
H-Index - 84
eISSN - 1467-985X
pISSN - 0964-1998
DOI - 10.1111/j.1467-985x.2006.00419.x
Subject(s) - latent class model , multinomial logistic regression , religiosity , logistic regression , psychology , class (philosophy) , pooling , latent variable model , latent variable , social psychology , econometrics , statistics , mathematics , computer science , artificial intelligence
Summary. Analysing the use of marijuana is challenging in part because there is no widely accepted single measure of individual use. Similarly, there is no single response variable that effectively captures attitudes toward its social and moral acceptability. One approach is to view the joint distribution of multiple use and attitude indicators as a mixture of latent classes. Pooling items from the annual ‘Monitoring the future’ surveys of American high school seniors from 1977 to 2001, we find that marijuana use and attitudes are well summarized by a four‐class model. Secular trends in class prevalences over this period reveal major shifts in use and attitudes. Applying a multinomial logistic model to the latent response, we investigate how class membership relates to demographic and life style factors, political beliefs and religiosity over time. Inferences about the parameters of the latent class logistic model are obtained by a combination of maximum likelihood and Bayesian techniques.