For detecting differential item functioning (DIF) between two groups of test takers, their item parameters need to be aligned in some way. Typically this is done by means of choosing a small number of so called anchor items. Here we propose an alternative strategy: the selection of an anchor...

The specific purpose of the research was to construct an achievement test in the area of philosophy of education for master level students in universities of Punjab (Bahauddin Zakariya University Multan, The Islamia University of Bahawalpur and University of Sargodha, Sargodha. Test comprises 60...

The general objective of the study is to quantify the economic potential of 98 municipalities in the province of Seville in 2007 and 2012 from empirical research based on the application of the Rasch model. This will allow us to design a generic analytical framework or frame of reference for the...

In this paper, optimal designs will be derived for estimating the ability parameters of the Rasch model when difficulty parameters are known. It is well established that a design is locally D-optimal if the ability and difficulty coincide. But locally optimal designs require that the ability...

In this paper, we give an explicit and algorithmic description of Graver basis for the toric ideal associated with a simple undirected graph and apply the basis for testing the beta model of random graphs by Markov chain Monte Carlo method. Copyright The Institute of Statistical Mathematics,...

The most probable distribution method is applied to derive the logistic model as the distribution accounting for the maximum number of possible outcomes in a dichotomous test while introducing latent traits and item characteristics as constraints to the system. The item response theory logistic...