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The Andersen likelihood ratio test with a random split criterion lacks power

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  • Krammer, Georg

    (University College of Teacher Education Styria)

Abstract

The Andersen LRT uses sample characteristics as split criteria to evaluate Rasch model fit, or theory driven hypothesis testing for a test. This simulation study is the first to evaluate power and Type I error of a random split criterion. Results consistently show that a random split criterion lacks power.

Suggested Citation

  • Krammer, Georg, 2019. "The Andersen likelihood ratio test with a random split criterion lacks power," OSF Preprints gu8sq, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:gu8sq
    DOI: 10.31219/osf.io/gu8sq
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    References listed on IDEAS

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    1. Sören Kliem & Johannes Beller & Christoph Kröger & Yve Stöbel-Richter & Kurt Hahlweg & Elmar Brähler, 2015. "A Rasch Re-Analysis of the Partnership Questionnaire," SAGE Open, , vol. 5(2), pages 21582440155, June.
    2. Mair, Patrick & Hatzinger, Reinhold, 2007. "Extended Rasch Modeling: The eRm Package for the Application of IRT Models in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 20(i09).
    3. Ivo Molenaar, 1983. "Some improved diagnostics for failure of the Rasch model," Psychometrika, Springer;The Psychometric Society, vol. 48(1), pages 49-72, March.
    4. Georg Gittler & Gerhard Fischer, 2011. "IRT-Based Measurement of Short-Term Changes of Ability, With an Application to Assessing the “Mozart Effectâ€," Journal of Educational and Behavioral Statistics, , vol. 36(1), pages 33-75, February.
    5. Svend Kreiner & Karl Christensen, 2014. "Analyses of Model Fit and Robustness. A New Look at the PISA Scaling Model Underlying Ranking of Countries According to Reading Literacy," Psychometrika, Springer;The Psychometric Society, vol. 79(2), pages 210-231, April.
    6. Erling Andersen, 1973. "A goodness of fit test for the rasch model," Psychometrika, Springer;The Psychometric Society, vol. 38(1), pages 123-140, March.
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