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Some Uses of the Square Root Method as a Tool in Multiple Prediction

Published online by Cambridge University Press:  01 January 2025

Aart Hazewinkel
Aart Hazewinkel*
Affiliation:
Nederlands Instituut Voor Praeventieve Geneeskunde, Leiden
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Abstract

It is shown how the square root method can be used in the derivation of formulas in multiple prediction and in the computations necessary for their application. A formula derived by Horst indicates the validity a test must possess in order to contribute a specified amount to the multiple correlation of a battery. Then a formula is derived which relates the length of one test in a battery to the multiple correlation of the battery as a whole. The formulas hold for population parameters; in this paper, sampling theory is not discussed. A numerical example is presented; it is shown that one square root analysis provides all the data needed for the formulas.

Type
Original Paper
Information
Psychometrika , Volume 27 , Issue 1 , March 1962 , pp. 111 - 117
Copyright
Copyright © 1962 The Psychometric Society

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References

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