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- Title
An Expected Response Function Approach to Graphical Differential Item Functioning.
- Authors
Scrams, David J.; McLeod, Lori D.
- Abstract
In this paper a new approach to graphical differential item functioning (DIF) is offered. The methodology is based on a sampling theory approach to expected response functions (Lewis, 1985; Mislevy, Wingersky, & Sheehan, 1994), Essentially, error in item calibrations in item calibrations is modeled explicitly, and repeated samples are taken from the posterior distribution of the item parameters, Sampled parameter values are used to estimate the posterior distribution of the difference in item characteristic curves (ICCs) for two groups. A point-wise expectation is taken as an estimate of the true difference between the ICCs, and the sampled-difference functions indicate incertainity in the estimate. The approach is applied to a set of pretest items, and the results are compared to traditional Mantel-Haenszel DIF statistics. The expected-response function approach is contrasted with Pashley's (1992) graphical DIF approach.
- Subjects
ITEM response theory; GRAPHICAL modeling (Statistics); CALIBRATION; FUNCTIONAL analysis; STATISTICAL sampling
- Publication
Journal of Educational Measurement, 2000, Vol 37, Issue 3, p263
- ISSN
0022-0655
- Publication type
Article
- DOI
10.1111/j.1745-3984.2000.tb01086.x