A VARIATION ON THE THEME OF THE MOST PREDICTABLE AND RELIABLE CRITERION

Konstantin Momirović, Boris Wolf, Lazar Tenjović, Milivoje Bogdanović
1995 PSIHOLOGIJA   unpublished
In a recent paper (Momirovic, Bogdanovic, Wolf and Tenjovic, 1993) a simple method for the analysis of asymmetric relations between two sets of variates was proposed. This method consists of the maximization of covariance between linear composites of predictor and criterion variables and the maximization of reliability of the linear composite of critetion variables under the condition that linear composite of predictor variables is standardized, and the transformation vector for linear
more » ... for linear composite of criterion variables is of unit norm. In the present paper another method for the analysis of asymmetric relations between two sets of variates is proposed. The proposed method is defined so that the reliability of a function of criterion variates is maximized, and at the same time is maximized the covariance between this function and a function of predictor variates, under the conditions that the transformation vectors for both function are of unit norm. The present method does not give the maximized correlation between functions of predictor and criterion variates as gives the previous method, but only the maximized covariance between them; however, in the present method the regularity of covariance matrix of predictor variates is not a necessary condition. A new standardized measure of the relations between predictor and criterion variates is then derived, and a test of significance of this measure is proposed.
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