## An Analytical and Empirical Examination of Some Properties of Ipsative Measures |

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actual number assumption beta coefficients centroid Chapter clear column sums columns or rows correlation matrix Deleting a Variable developed by Horst deviation scores deviation units diagonal element diagonal matrix empirical example equated prior first-centroid residual Gramian matrix Horst 9 identical intercor ipsative covariance matrix ipsative intercorrelation matrix ipsative measures Ipsative Score Matrix ipsative set ipsative units ipsative validity ipsative variables Ipsative-Standard Scores least-square estimate least-square solution matrix of intercorrelations mean of zero multiple correlation negative values number of negative number of variables off-diagonal elements original intercorrelation matrix original variables orthogonal pre-ipsative pre-ipsatized variables prior to ipsatizing properties of ipsative Property 6.1 Property 9.2 proportion of negative Psychometric Society rank raw score set regular inverse Relation of Ipsative resulting ipsative set of ipsative set of variables single variable square standard deviation standard scores Substituting Table 15 transformation validity covariances variable deleted variables in non-ipsative variables prior variances vector of validity