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    Psychological testing bias involves measurement and predictive bias. Paradoxically, these two forms of bias are often inconsistent, even when tests appear unbiased.

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    Area of Science:

    • Psychometrics
    • Statistical modeling
    • Educational measurement

    Background:

    • Psychological testing literature differentiates between measurement bias (test-latent variable relationship) and predictive bias (test-criterion relationship).
    • Understanding the relationship between these two forms of bias is crucial for accurate interpretation of test results and group differences.

    Purpose of the Study:

    • To investigate the relationship between measurement bias and predictive bias in psychological testing.
    • To determine if predictive invariance implies measurement invariance.

    Main Methods:

    • Developed a theorem to identify conditions for measurement invariance and predictive invariance consistency in linear models.
    • Utilized simulated data to illustrate the paradoxical inconsistency between these two forms of invariance.
    • Applied the findings to real-world data on gender and ethnic differences in SAT scores.

    Main Results:

    • Measurement invariance and predictive invariance are paradoxically inconsistent under realistic conditions.
    • The study demonstrates a duality where tests unbiased in prediction may still exhibit measurement bias.
    • Empirical findings of test-criterion regression slope invariance may require reinterpretation.

    Conclusions:

    • The duality between measurement and predictive bias necessitates a reevaluation of common findings in group differences research.
    • Invariance in test validities and regression slopes may not indicate true lack of bias.
    • Further research is needed to explore the implications of this duality for test development and interpretation.