1. A Probit Latent State IRT Model With Latent Item-Effect Variables
- Author
-
Rolf Steyer, Désirée Thielemann, Marie-Ann Sengewald, and Gregor Kappler
- Subjects
05 social sciences ,050401 social sciences methods ,050109 social psychology ,Probit ,Latent variable ,Differential item functioning ,Structural equation modeling ,Latent class model ,0504 sociology ,Item response theory ,Statistics ,Econometrics ,0501 psychology and cognitive sciences ,Local independence ,Latent variable model ,Psychology ,Applied Psychology - Abstract
Abstract. We present a probit latent state model for dichotomous items with one latent state variable for each occasion of measurement and one latent item-effect variable for each item, except for a reference item. All latent variables are well defined in terms of conditional probabilities. The model offers the possibility to include explanatory variables for the latent states as well as for the latent item-effect variables. We illustrate the model by a data example with the life satisfaction scale of the Freiburg Personality Inventory (FPI-R; Fahrenberg, Hampel, & Selg, 1984 ) assessed at three time points. Allowing for item-effect variables improves model fit considerably and enhances our knowledge about the items. In some applications, this model opens new ways to investigate differential item functioning, and in others it allows to study response styles.
- Published
- 2017
- Full Text
- View/download PDF