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    Area of Science:

    • Psychometrics
    • Statistical Modeling

    Background:

    • Latent trait theory is foundational in educational and psychological measurement.
    • Existing models often focus on dichotomous or polytomous item responses.
    • A need exists for robust models accommodating continuous item responses.

    Purpose of the Study:

    • To describe a general linear latent trait model for continuous item responses.
    • To analyze the unidimensional case, specifically Joreskog's congeneric item response model.
    • To discuss key psychometric concepts and applications within this framework.

    Main Methods:

    • Development of a general linear latent trait model.
    • Application to the unidimensional case of congeneric item responses.
    • Analysis of item and test information functions, specific objectivity, item bias, and reliability.

    Main Results:

    • The proposed model provides a flexible framework for continuous item response data.
    • Joreskog's model is identified as a special unidimensional case.
    • The study demonstrates the model's utility in test construction and its relation to dichotomous models.

    Conclusions:

    • The general linear latent trait model offers a valuable tool for analyzing continuous item responses.
    • It enhances understanding of psychometric properties like reliability and bias.
    • The model bridges continuous and dichotomous latent trait theories.