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Comparison of Models and Indices for Detecting Rater Centrality.

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    Summary
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    This study examined rater centrality effects, often overlooked in educational assessments. The residual-expected correlation index proved most effective in detecting these effects across various conditions.

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    Area of Science:

    • Psychometrics
    • Educational Measurement
    • Statistical Modeling

    Background:

    • Rater effects research predominantly focuses on severity/leniency.
    • Other significant rater effects, like centrality, are under-researched in operational scoring.
    • Centrality effects can impact the accuracy and fairness of assessments.

    Purpose of the Study:

    • To compare the sensitivity of four rater centrality indices.
    • To evaluate Type I and Type II error rates of these indices under varied conditions.
    • To identify the most effective index for detecting rater centrality.

    Main Methods:

    • A simulation study was conducted using four latent trait models (Rasch rating scale, partial credit, generalized rating scale, generalized partial credit).
    • Data were simulated with varying levels of centrality magnitude, pervasiveness, and rating scale construction.
    • Four rater centrality indices were compared: rater fit, residual-expected correlations, rater slope, and rater threshold variance.

    Main Results:

    • The residual-expected correlation index demonstrated superior sensitivity to rater centrality across most simulated conditions.
    • Type I and Type II error rates varied significantly among the indices.
    • The effectiveness of indices was influenced by centrality magnitude, pervasiveness, and scale construction.

    Conclusions:

    • The residual-expected correlation is recommended as a sensitive measure for detecting rater centrality in operational scoring.
    • Further research should explore the practical application of this index in real-world assessment contexts.
    • Addressing rater centrality is crucial for improving the validity and reliability of educational assessments.