On the Base-Free Measure of Change Proposed by Tucker, Damarin and Messick

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Abstract
Tucker, Damarin and Messick proposed a “base-free” measure of change which involves the computation of residual scores that are uncorrelated with true scores on the pretest. The present note discusses this change measure and demonstrates that, because of an incorrect derivation by the authors, properties they attribute to α (the coefficient for the regression of true scores from the second testing on true scores from the first testing) are, in fact, properties of b, the ordinary regression coefficient. A correct derivation of the initial position—change correlation in terms of α is obtained, and Tucker et al.'s discussion of the “law of initial values” is reconsidered.

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