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The power function of conditional tests of the Rasch model

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  • Clemens Draxler
  • Johannes Zessin

Abstract

In this paper, a general expression of the power function of conditional or pseudo-exact tests of the Rasch model is derived. It allows the determination of the power of conditional tests against various alternative hypotheses. A number of relevant examples frequently occurring in practice are discussed. With respect to computations, a Monte Carlo approach is suggested enabling the approximation of the exact power in applications. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Clemens Draxler & Johannes Zessin, 2015. "The power function of conditional tests of the Rasch model," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 99(3), pages 367-378, July.
    • Handle: RePEc:spr:alstar:v:99:y:2015:i:3:p:367-378
    DOI: 10.1007/s10182-015-0249-5
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    References listed on IDEAS

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    1. Norman Verhelst, 2008. "An Efficient MCMC Algorithm to Sample Binary Matrices with Fixed Marginals," Psychometrika, Springer;The Psychometric Society, vol. 73(4), pages 705-728, December.
    2. Verhelst, Norman & Hatzinger, Reinhold & Mair, Patrick, 2007. "The Rasch Sampler," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 20(i04).
    3. Ivo Ponocny, 2001. "Nonparametric goodness-of-fit tests for the rasch model," Psychometrika, Springer;The Psychometric Society, vol. 66(3), pages 437-459, September.
    4. Yuguo Chen & Dylan Small, 2005. "Exact tests for the rasch model via sequential importance sampling," Psychometrika, Springer;The Psychometric Society, vol. 70(1), pages 11-30, March.
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    Cited by:

    1. Clemens Draxler, 2018. "Bayesian conditional inference for Rasch models," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 102(2), pages 245-262, April.
    2. Clemens Draxler & Andreas Kurz & Can Gürer & Jan Philipp Nolte, 2024. "An Improved Inferential Procedure to Evaluate Item Discriminations in a Conditional Maximum Likelihood Framework," Journal of Educational and Behavioral Statistics, , vol. 49(3), pages 403-430, June.
    3. Clemens Draxler & Andreas Kurz, 2021. "Conditional Inference in Small Sample Scenarios Using a Resampling Approach," Stats, MDPI, vol. 4(4), pages 1-13, October.

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