Abstract
von Davier, Holland and Thayer (2004b, pp. 45–47) described a five-step, test-equating framework: (a) presmoothing, (b) estimating score probabilities, (c) continuization, (d) equating, and (e) calculating the standard error of equating. In this framework, the presmoothing step is usually done with log-linear smoothing. Step 2 is to transform smoothed distribution into two marginal distributions for the target population (sometimes called synthetic population). In their framework, Step 3 is done with an adjusted Gaussian kernel procedure.
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Wang, T. (2009). An Alternative Continuization Method: The Continuized Log-Linear Method. In: von Davier, A. (eds) Statistical Models for Test Equating, Scaling, and Linking. Statistics for Social and Behavioral Sciences. Springer, New York, NY. https://doi.org/10.1007/978-0-387-98138-3_9
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DOI: https://doi.org/10.1007/978-0-387-98138-3_9
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