The standard latent class model, which has been popular among social scientists as an instrument for data reduction, is also a flexible tool for analyzing structural relationships between categorical variables and can be seen as a natural extension of the log-linear model in order to take measurement error into account. Among behavioural scientists latent trait models have been proposed as the preferable psychometric tools for measuring abilities in such a way that characteristics of items and individuals could be studied separately.

However, what are the similarities and differences...