Application of the MIMIC model to detect and

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Application of the MIMIC model to detect and predict differential item functioning Kevin Krost,

Application of the MIMIC model to detect and predict differential item functioning Kevin Krost, M. A. Josh Cohen, Ph. D. Virginia Tech, Educational Research and Evaluation

Research Questions v RQ 1 – Is there differential item functioning between gender on

Research Questions v RQ 1 – Is there differential item functioning between gender on this assessment? v RQ 2 – What attitudinal factors predict or mediate differential item functioning and/or gender differences among mathematics?

Differential Item Functioning v Differences in probability of endorsing an item between two groups

Differential Item Functioning v Differences in probability of endorsing an item between two groups after controlling for ability v. Can indicate item bias v. Difficult to explain and determine cause

MIMIC Model v Generalized SEM which incorporates covariates on items and latent traits v.

MIMIC Model v Generalized SEM which incorporates covariates on items and latent traits v. Family and link function for items v Effect of grouping variable on latent trait indicates group differences v. Items indicate DIF v. Covariates DIF can predict item and mediate

MIMIC Model

MIMIC Model

MIMIC Model

MIMIC Model

Scale Purification v Items used to measure latent trait might exhibit DIF and should

Scale Purification v Items used to measure latent trait might exhibit DIF and should be removed from scale (Wang, Shih, & Yang, 2009) v. Iterative procedure v. Items detected as exhibiting DIF removed from scale and modeled again v Time-consuming!

Purified Model

Purified Model

Predictive Model

Predictive Model

Predictive Model v Interested in items exhibiting largest DIF based on effect size v

Predictive Model v Interested in items exhibiting largest DIF based on effect size v Enter all covariates to predict item and mediate DIF v. Based on results, drop nonsignificant covariates to create more parsimonious model v. Drop all non-significant variables or one at a time?

Judgment Time v Within items, interested in largest absolute drop in effect size from

Judgment Time v Within items, interested in largest absolute drop in effect size from model to model v. Most interested when grouping variable becomes non-significant v After most parsimonious models obtained, interested in covariates significantly predicting item v. Again, interested in full mediation

Judgment Time v Depends on your interest as a researcher v. Substantive, focused on

Judgment Time v Depends on your interest as a researcher v. Substantive, focused on relationship of covariates and mediation of DIF v. Professional/test developer, interested in determining if DIF indicates item bias or simply spurious v. Both, depending on research interests

Any questions? THANK YOU!

Any questions? THANK YOU!