The random weights linear logistic test model

A generalization of the linear logistic test model of G. H. Fischer (1973), the random weights linear logistic test model, is presented. The generalization consists of a random coefficient contribution of item stimulus features to the item difficulties, with the coefficients varying over persons. Whereas in the common linear logistic test model, only the intercept (ability) is considered random over persons, in the random weights linear logistic test model, also some or all of the item stimulus features are considered as having random coefficients. It turns out that the random weights linear logistic test model is a special case of the multidimensional random coefficient multinomial logit model of Adams, Wilson, and Wang (1997). The model is applied to a deductive reasoning task.