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Sample Size Determination for Rasch Model Tests

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Abstract

This paper is concerned with supplementing statistical tests for the Rasch model so that additionally to the probability of the error of the first kind (Type I probability) the probability of the error of the second kind (Type II probability) can be controlled at a predetermined level by basing the test on the appropriate number of observations. An approach to determining a practically meaningful extent of model deviation is proposed, and the approximate distribution of the Wald test is derived under the extent of model deviation of interest.

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Correspondence to Clemens Draxler.

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Draxler, C. Sample Size Determination for Rasch Model Tests. Psychometrika 75, 708–724 (2010). https://doi.org/10.1007/s11336-010-9182-4

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