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**Data aggregation in evaluating psychological constructs: Multivariate and logical deductive considerations.**
*(English)*
Zbl 0705.62104

Summary: The value of a number of constructs in psychology has been impugned because of weak empirical associations between measures of the constructs and measures of relevant behaviours. Weakness of association has taken the forms of inconsistent statistical significance of construct-behaviour associations across studies and unacceptably low magnitudes of association within studies.

To redeem empirical support for the value of such constructs, aggregation of the behavioural measures by computation of simple sums prior to calculation of associations with the construct has been advocated. The validity of this procedure for the stated purposes has been the subject of considerable verbal debate, but sparse analytical treatment. The procedure is examined here in the light of analyses of simultaneous multiple observations using techniques that have formal mathematical foundations. Substantial differences between the two sets of procedures bearing directly on empirical support for the value of constructs are demonstrated. In turn, the validity of data aggregation for supporting the value of constructs is rejected when the espoused role of such support is subjected to tenets of logical deductive scientific systems.

To redeem empirical support for the value of such constructs, aggregation of the behavioural measures by computation of simple sums prior to calculation of associations with the construct has been advocated. The validity of this procedure for the stated purposes has been the subject of considerable verbal debate, but sparse analytical treatment. The procedure is examined here in the light of analyses of simultaneous multiple observations using techniques that have formal mathematical foundations. Substantial differences between the two sets of procedures bearing directly on empirical support for the value of constructs are demonstrated. In turn, the validity of data aggregation for supporting the value of constructs is rejected when the espoused role of such support is subjected to tenets of logical deductive scientific systems.

### Keywords:

significance testing; psychological construct; empirical associations; simultaneous multiple observations; data aggregation
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\textit{R. W. J. Neufeld} and \textit{R. C. Gardner}, J. Math. Psychol. 34, No. 3, 276--296 (1990; Zbl 0705.62104)

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