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Consistent Estimation of Rasch Item Parameters and Their Standard Errors under Complex Sample Designs
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Cohen, Jon; Chan, Tsze; Jiang, Tao; Seburn, Mary – Applied Psychological Measurement, 2008
U.S. state educational testing programs administer tests to track student progress and hold schools accountable for educational outcomes. Methods from item response theory, especially Rasch models, are usually used to equate different forms of a test. The most popular method for estimating Rasch models yields inconsistent estimates and relies on…
Descriptors: Testing Programs, Educational Testing, Item Response Theory, Computation
The Number of Guttman Errors as a Simple and Powerful Person-Fit Statistic.
Peer reviewed Peer reviewed
Meijer, Rob R. – Applied Psychological Measurement, 1994
Through simulation, the power of the U3 statistic was compared with the power of one of the simplest person-fit statistics, the sum of the number of Guttman errors. In most cases, a weighted version of the latter statistic performed as well as the U3 statistic. (SLD)
Descriptors: Error Patterns, Item Response Theory, Nonparametric Statistics, Power (Statistics)