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van der Linden, Wim J. – Journal of Educational and Behavioral Statistics, 2019
Lord's (1980) equity theorem claims observed-score equating to be possible only when two test forms are perfectly reliable or strictly parallel. An analysis of its proof reveals use of an incorrect statistical assumption. The assumption does not invalidate the theorem itself though, which can be shown to follow directly from the discrete nature of…
Descriptors: Equated Scores, Testing Problems, Item Response Theory, Evaluation Methods