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Latent variables in log-linear models of repeated observations
Hagenaars, Jacques A., 1945-
Changes in categorical characteristics may be fruitfully studied by means of loglinear models. Because unreliability of measurements is a major problem in many research settings but has notoriously ...disastrous consequences when studying social change, log-linear models with latent variables are particularly useful in this area. After a very brief introduction into log-linear modeling and an explanation of the latent class model as a log-linear model with latent variables, it is shown that even a small amount of unreliability may lead to quite misleading conclusions about the underlying processes of change.' Next, measurement models for indicators measured at several points in time are discussed. The main purpose of this discussion is to show how to disentangle 'true', latent changes and observed changes caused by unreliability of measurements. A main topic is the causal analysis of panel data. Extending Goodman's loglinear 'modified path analysis approach' to include latent variables, it is shown how to set up 'modified LISREL models' for the analyses of cross-sectional and longitudinal data. Finally, some other possible applications of the (categorical) latentvariable approach are pointedout, along with some important new developments.
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