extended · article · 2003

Evaluation of global testing procedures for item fit to the Rasch model

Juan C. Suárez‐Falcón; Cees A. W. Glas

Two types of global testing procedures for item fit to the Rasch model were evaluated using simulation studies. The first type incorporates three tests based on first‐order statistics: van den Wollenberg's Q <jats:sub>1</jats:sub> test, Glas's R <jats:sub>1</jats:sub> test, and Andersen's LR test. The second type incorporates three tests based on second‐order statistics: van den Wollenberg's Q <jats:sub>2</jats:sub> test, Glas's R <jats:sub>2</jats:sub> test, and a non‐parametric test proposed by Ponocny. The Type I error rates and the power against the violation of parallel item response curves, unidimensionality and local independence were analysed in relation to sample size and test length. In general, the outcomes indicate a s...