Determining the Significance of Estimated Signed and Unsigned Areas Between Two Item Response Functions

1 June 1990

journal article
Published by SAGE Publications in Applied Psychological Measurement

Vol. 14 (2) , 197-207
https://doi.org/10.1177/014662169001400208

Abstract

Asymptotic sampling distributions (means and vari ances) of estimated signed and unsigned areas between two item response functions (IRFS) are presented for the Rasch model, the two-parameter model, and the three-parameter model with fixed lower asymptotes. In item bias or differential item functioning research, it may be of interest to determine whether the estimated signed and unsigned areas between IRFS calibrated with two different groups are significantly different from 0. The usefulness of these sampling distributions in this context is discussed and illustrated. More em pirical research with the proposed significance tests is necessary.

Keywords

This publication has 3 references indexed in Scilit:

An Empirical Assessment of the Mantel-Haenszel for Studying Differential Item Performance
Applied Measurement in Education, 1989
The Area between Two Item Characteristic Curves
Psychometrika, 1988
Item Response Theory
Published by Springer Nature ,1985