Maximum marginal likelihood estimation for semiparametric item analysis

作者: J. O. Ramsay , S. Winsberg

DOI: 10.1007/BF02294480

关键词: Polynomial regressionPrior probabilityDifferential item functioningMathematicsMarginal likelihoodBeta distributionEconometricsEstimation theoryStatisticsItem analysisMultivariate adaptive regression splinesApplied mathematicsGeneral psychology

摘要: The item characteristic curve (ICC), defining the relation between ability and probability of choosing a particular option for test item, can be estimated by using polynomial regression splines. These provide more flexible family functions than is given three-parameter logistic family. estimation spline ICCs described maximizing marginal likelihood formed integrating over beta prior distribution. Some simulation results compare this approach with joint parameters.

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