A goodness of fit test for the Rasch model.

作者: Erling B. Andersen

DOI: 10.1007/BF02291180

关键词: MathematicsItem analysisRasch modelEconometricsGoodness of fitTest (assessment)Polytomous Rasch modelPsychometricsStatisticsConstant (mathematics)Logarithm

摘要: The Rasch model is an item analysis with logistic characteristic curves of equal slope,i.e. constant discriminating powers. proposed goodness fit test based on a comparison between difficulties estimated from different scoregroups and over-all estimates. Based the within scoregroup estimates conditional likelihood ratio formed. It shown that—2 times logarithm this isx 2-distributed when true. power discussed for alternative models curves, but unequal items scholastic aptitude test.

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