Estimating the Multilevel Rasch Model: With thelme4Package

Investigating Fit with the Rasch Model

Reliability in the Rasch model

This paper deals with the reliability of composite measurement consisting of true-false items obeying the Rasch model. A definition of reliability in the Rasch model is proposed and the connection to the classical definition of reliability is shown. As a modification of the classical estimator Cronbach’s alpha, a new estimator logistic alpha is proposed. Finally, the properties of the new estim...

Assessment of school performance through a multilevel latent Markov Rasch model

An extension of the latent Markov Rasch model is described for the analysis of binary longitudinal data with covariates when subjects are collected in clusters, e.g. students clustered in classes. For each subject, the latent process is used to represent the characteristic of interest (e.g. ability) conditional on the effect of the cluster to which he/she belongs. The latter effect is modeled b...

Measuring the Human Factor with the Rasch Model

This paper presents a test for measuring the C language knowledge of a software developer. The test was grounded with a web experiment comprising 151 participants. Their background ranged from pupils to professional developers. The resulting variable is based on the Rasch Model. Therefore single questions as well as the entire test could be assessed. The paper describes the experiment, the appl...

A Dynamic Generalization of the Rasch Model

In the present paper a model for describing dynamic processes is constructed by combining the common Rasch model with the concept of structurally incomplete designs. This is accomplished by mapping each item on a collection of virtual items, one of which is assumed to be presented to the respondent dependent on the preceding responses and/or the feedback obtained. It is shown that, in the case ...