Titlebook: Statistical Models for Test Equating, Scaling, and Linking; Alina A. Davier Book 2011 Springer Science+Business Media, LLC 2011 Measuremen

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A Statistical Perspective on Equating Test Scores industry for the past 90 years (see Holland, 2007, for a history of linking). This chapter focuses on the statistical methods available for equating test forms from standardized educational assessments that report scores at the individual level (see also Dorans, Moses, & Eignor, Chapter 2 of this volume).

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Statistics for Social and Behavioral Scienceshttp://image.papertrans.cn/s/image/876584.jpg

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Scoring and Scaling Educational Testsferred to as a .. Normative information might be incorporated by constructing scale scores to be approximately normally distributed with a mean of 50 and a standard deviation of 10 for a national population of examinees. In addition, procedures can be used for incorporating content and score precisi

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How to Average Equating Functions, If You Mustequating functions, putting more weight on one than on the other (von Davier, Fournier-Zajac, & Holland, 2006). In his discussion of the angle bisector, Angoff implicitly weighted the two linear functions equally. The idea of . the two functions differently is a natural and potentially useful added

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New Approaches to Equating With Small Samplesother equatings to improve the accuracy of an equating based on small-sample data. Finally, we turn to Stage 1, describing a new data collection plan in which the new form is introduced in a series of stages rather than all at once.

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A Bayesian Nonparametric Model for Test Equatingfunction, including the 95% credible interval of the equated score of the posterior distribution. Thus, the Bayesian model fully accounts for the uncertainty in the equated scores, for any sample size. In contrast, current approaches to test score equating only provide large-sample approximations to