Robustness of Adaptive Measurement of Change to Item Parameter Estimation Error.

Adaptive measurement of change (AMC) is a psychometric method for measuring intra-individual change on one or more latent traits across testing occasions. Three hypothesis tests—a Z test, likelihood ratio test, and score ratio index—have demonstrated desirable statistical properties in this context,...

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Published in:Educational & Psychological Measurement Vol. 82; no. 4; pp. 643 - 678
Main Authors: Cooperman, Allison W., Weiss, David J., Wang, Chun
Format: Article
Published: Sage Publications Inc. Aug2022
Subjects:
Online Access:View this record in EBSCOhost
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      dt: Aug2022
      vid: 82
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      pub: Sage Publications Inc.
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        157611910
        10.1177/00131644211033902
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        atl: Robustness of Adaptive Measurement of Change to Item Parameter Estimation Error.
      aug:
        au:
          Cooperman, Allison W.
          Weiss, David J.
          Wang, Chun
        affil:
          University of Minnesota–Twin Cities, Minneapolis, MN, USA
          University of Washington, Seattle, WA, USA
      su:
        Psychometrics
        Computer adaptive testing
        Research methodology evaluation
        Mathematical models
        Comparative studies
        Theory
        Descriptive statistics
        Statistical models
        Data analytics
        Measurement errors
      sug:
        subj:
          Psychometrics
          Computer adaptive testing
          Research methodology evaluation
          Mathematical models
          Comparative studies
          Theory
          Descriptive statistics
          Statistical models
          Data analytics
          Measurement errors
      keyword:
        adaptive measurement of change
        computerized adaptive testing
        item parameter estimation error
        adaptive measurement of change
        computerized adaptive testing
        item parameter estimation error
      ab: Adaptive measurement of change (AMC) is a psychometric method for measuring intra-individual change on one or more latent traits across testing occasions. Three hypothesis tests—a Z test, likelihood ratio test, and score ratio index—have demonstrated desirable statistical properties in this context, including low false positive rates and high true positive rates. However, the extant AMC research has assumed that the item parameter values in the simulated item banks were devoid of estimation error. This assumption is unrealistic for applied testing settings, where item parameters are estimated from a calibration sample before test administration. Using Monte Carlo simulation, this study evaluated the robustness of the common AMC hypothesis tests to the presence of item parameter estimation error when measuring omnibus change across four testing occasions. Results indicated that item parameter estimation error had at most a small effect on false positive rates and latent trait change recovery, and these effects were largely explained by the computerized adaptive testing item bank information functions. Differences in AMC performance as a function of item parameter estimation error and choice of hypothesis test were generally limited to simulees with particularly low or high latent trait values, where the item bank provided relatively lower information. These simulations highlight how AMC can accurately measure intra-individual change in the presence of item parameter estimation error when paired with an informative item bank. Limitations and future directions for AMC research are discussed.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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