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Posted: | Matthias von Davier, Brian Clauser

Essays on Contemporary Psychometrics: Pages 163-180

 

This paper shows that using non-linear functions for equating and score transformations leads to consequences that are not commensurable with classical test theory (CTT). More specifically, a well-known theorem from calculus shows that the expected value of a non-linearly transformed variable does not equal the transformed expected value of this variable.