extended · dissertation · 2012

Fit indices for the Rasch model

Judit Antal; Ivor W. Molenaar

This dissertation introduces a new family of non-parametric fit tests for the Rasch model combining the elements of Monte Carlo method, traditional hypothesis testing, and Item Response Theory model fit. The new tests do not make assumptions re garding the distributions of their test statistics. Rather, distributions used for testing model fit are generated "on the fly" using a Monte Carlo method. The developmental phases and algorithms for performing the tests are discussed in detail. Differences be 4.12 Stability of MCyx'five replicated p'-values of MCyx for four different Math exams............