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Calibration of Invariant Item Parameters in a Continuous Item Response Model Using the Extended Lisrel Measurement

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    This study explores Confirmatory Factor Analysis (CFA) with mean structures to estimate personality scale parameters. The findings suggest this model and continuous response format are valuable for personality research.

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    Area of Science:

    • Psychometrics
    • Personality Assessment
    • Statistical Modeling

    Background:

    • Traditional psychometric models may not fully capture personality nuances.
    • Estimating invariant item parameters is crucial for cross-group comparisons in personality research.

    Purpose of the Study:

    • To evaluate the utility of Sorbom's Confirmatory Factor Analysis (CFA) with mean structures for estimating invariant item difficulty and discrimination parameters.
    • To assess the applicability of this model to personality scales using a continuous response format.

    Main Methods:

    • Applied Sorbom's (1974) Confirmatory Factor Analysis (CFA) with mean structures model.
    • Utilized items from the Social Worry Scale administered via a continuous response format.
    • Fitted an invariant CFA model with mean structures simultaneously across gender-split groups.

    Main Results:

    • The Confirmatory Factor Analysis (CFA) with mean structures model demonstrated utility in estimating invariant item parameters.
    • The continuous response format and the applied model showed potential for personality scales.

    Conclusions:

    • The Confirmatory Factor Analysis (CFA) with mean structures model is a promising approach for personality scale analysis.
    • The continuous response format combined with this statistical model offers valuable insights for personality research.