Using Multilevel Logistic Regression to Evaluate Person-Fit in IRT Models

Multivariate Behavioral Research
S P Reise

Abstract

I describe how multilevel logistic regression can be used to assess the consistency of an individual's response pattern with an item response theory measurement model. Specifically, by treating item responses as being nested within individuals, multilevel logistic regression is used to estimate a person-response curve that models how an individual's item endorsement rate decreases as a function of item difficulty. The slope of an individual's person-response curve is used as an indicator of the degree of response consistency or person-fit. I argue that the proposed multilevel modeling approach to person-fit assessment has several potential advantages over traditional techniques. The most important advantage being that the multilevel modeling approach allows explanatory variables to be entered into the model so that the causes of response inconsistency or differential test functioning can be investigated.

References

Apr 1, 1994·Journal of Consulting and Clinical Psychology·R D Gibbons, D Hedeker
Dec 1, 1996·Addiction·D Hedeker, R J Mermelstein

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Citations

Apr 7, 2005·Psychological Methods·Wilco H M EmonsRob R Meijer
Apr 11, 2011·Multivariate Behavioral Research·Judith M ConijnKlaas Sijtsma
Jan 1, 2008·Multivariate Behavioral Research·Carol M Woods
Apr 7, 2016·Journal of Personality Assessment·Jared W KeeleyElizabeth H Flanagan
Mar 1, 2014·Multivariate Behavioral Research·Jihnhee YuLeonard H Epstein
Jun 28, 2016·Structural Equation Modeling : a Multidisciplinary Journal·Veronica T Cole, Daniel J Bauer
Oct 8, 2016·Multivariate Behavioral Research·Dylan MolenaarPaul De Boeck
Aug 1, 2015·BMC Medical Research Methodology·Rosalie GorterJos W R Twisk
Jan 1, 2004·Multivariate Behavioral Research·Wilco H M EmonsRob R Meijer
Oct 4, 2012·Journal of Personality Assessment·Steven P ReiseMark G Haviland
Apr 27, 2005·Evaluation & the Health Professions·Ron D HaysKa-Kit Hui
Jan 11, 2001·Assessment·S P Reise, J M Henson
Aug 14, 2020·Applied Psychological Measurement·Gerhard Tutz, Gunther Schauberger

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