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Summary
This summary is machine-generated.

A new method called SS-MIRT true-score equating (SMT) offers more accurate results for multidimensional data compared to traditional methods. This approach enhances the reliability of educational assessments by leveraging multidimensional item response theory.

Keywords:
IRT true-score equatingequatingmultidimensional item response theorysimple structure

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Area of Science:

  • Psychometrics
  • Educational Measurement
  • Statistical Modeling

Background:

  • True-score equating is crucial for score comparability across different test forms.
  • Traditional unidimensional equating methods may be insufficient for multidimensional data.
  • Multidimensional item response theory (MIRT) models offer a more nuanced approach to complex data structures.

Purpose of the Study:

  • To develop a theoretical and conceptual framework for true-score equating using a simple-structure MIRT (SS-MIRT) model.
  • To introduce and evaluate a novel true-score equating procedure based on SS-MIRT, termed the SMT procedure.
  • To compare the performance of the SMT procedure against existing equating methods.

Main Methods:

  • Development of a simple-structure multidimensional item response theory (SS-MIRT) model.
  • Implementation of the SS-MIRT true-score equating (SMT) procedure.
  • Empirical evaluation through four studies with diverse data types, comparing SMT with four other equating methods.

Main Results:

  • The SMT procedure demonstrated more accurate equating results than traditional unidimensional IRT (UIRT) equating when data were multidimensional.
  • The superiority of SMT over UIRT true-score equating was consistent across all studies.
  • SMT performance was comparable to the SS-MIRT observed score method in all evaluated studies.

Conclusions:

  • The SS-MIRT model provides an efficient and interpretable framework for true-score equating.
  • A multidimensional approach to equating, as implemented by SMT, is beneficial for multidimensional data.
  • The SMT procedure offers a promising alternative for accurate score equating in complex measurement contexts.