
RESEARCH LIBRARY
RESEARCH LIBRARY
View the latest publications from members of the NBME research team
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.
Journal of Educational Measurement: Volume 57, Issue 2, Pages 216-229
This article presents two generalizability-theory–based analyses of the proportion of the item variance that contributes to error in the cut score. For one approach, variance components are estimated on the probability (or proportion-correct) scale of the Angoff judgments, and for the other, the judgments are transferred to the theta scale of an item response theory model before estimating the variance components.