The Random Weights Linear Logistic Test Model
Frank Rijmen, Paul De Boeck, K. U. Leuven · Applied Psychological Measurement · 2002
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 coef.cient contribution of item stimulus features to the item dif.culties, with the coef.cients 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 coef.cients. It turns out that the random weights linear logistic test model is a special case of the multidimensional random coef.cient multinomial logit model of Adams, Wilson, and Wang (1997). The model is applied to a deductive reasoning task.