A Technical Note on IRT Simulation Studies: Dealing With Truth,Estimates, Observed Data,and Residuals |
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Authors: | Richard Luecht Terry A Ackerman |
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Affiliation: | 1. University of North Carolina–Greensboro;2. ACT Inc |
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Abstract: | Simulation studies are extremely common in the item response theory (IRT) research literature. This article presents a didactic discussion of “truth” and “error” in IRT‐based simulation studies. We ultimately recommend that future research focus less on the simple recovery of parameters from a convenient generating IRT model, and more on practical comparative estimation studies when the data are intentionally generated to incorporate nuisance dimensionality and other sources of nuanced contamination encountered with real data. A new framework is also presented for conceptualizing and comparing various residuals in IRT studies. The new framework allows even very different calibration and scoring IRT models to be compared on a common, convenient, and highly interpretable number‐correct metric. Some illustrative examples are included. |
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Keywords: | estimation item response theory model fit simulations |
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