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Standard errors of two-level scalability coefficients.

Letty Koopman1, Bonne J H Zijlstra1, L Andries van der Ark1

  • 1Research Institute of Child Development and Education, University of Amsterdam, The Netherlands.

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|June 25, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces standard errors for two-level Mokken scale analysis, a new method for tests with multiple raters. The findings validate the accuracy of these estimates for improving psychometric assessments.

Keywords:
delta methodmultilevel test datanonparametric item response theorystandard errorstwo-level scalability coefficients

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Area of Science:

  • Psychometrics
  • Statistical Modeling
  • Educational Measurement

Background:

  • Developing reliable tests with multiple raters (e.g., parent-completed child behavior checklists) requires advanced statistical techniques.
  • Existing Mokken scale analysis methods are being extended to accommodate multi-rater scenarios.

Purpose of the Study:

  • To derive standard errors for coefficients used in two-level Mokken scale analysis.
  • To provide a robust statistical foundation for this novel ordinal scaling technique.

Main Methods:

  • Derivation of standard errors for within-rater and between-rater coefficients and their ratios.
  • Application of the technique to a real-data example.
  • Validation through a small-scale simulation study.

Main Results:

  • Standard errors for two-level Mokken scale coefficients were successfully derived.
  • The accuracy of the derived standard errors was demonstrated through simulation and real-data application.
  • Software implementation details are provided.

Conclusions:

  • The derived standard errors enhance the reliability and validity of two-level Mokken scale analysis.
  • This advancement supports the construction of more accurate multi-rater assessments.
  • The study provides practical tools and validation for psychometricians.