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A Square Root Method of Selecting a Minimum Set of Variables in Multiple Regression: II. A Worked Example

Published online by Cambridge University Press:  01 January 2025

A. Lubin  and
A. Summerfield
A. Lubin
Affiliation:
Institute of Psychiatry, Maudsley Hospital
A. Summerfield
Affiliation:
University College, London
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Abstract

The square root method of selection has been explained in a previous article. In the present article a worked example is given which illustrates the compactness of the procedure. The square root method is compared with the Wherry-Doolittle method.

Type
Original Paper
Information
Psychometrika , Volume 16 , Issue 4 , December 1951 , pp. 425 - 437
Copyright
Copyright © 1951 The Psychometric Society

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Footnotes

*

The equations are numbered consecutively from our previous article (5).

References

Eisenhart, C. Quoted from unpublished manuscript. In Rider, P. R.(Eds.), Statistical Methods (pp. 126–126). New York: Wiley, 1939.Google Scholar
Garrett, H. E. Statistics in psychology and education 3rd Ed.,, New York: Longmans, 1947.CrossRefGoogle Scholar
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Paterson, D. G. Elliott, R. M.et al. Minnesota mechanical ability tests, Appendix 4, Minneapolis: University of Minnesota Press, 1930.Google Scholar
Summerfield, A. Lubin, A. A square root method of selecting a minimum set of variables in multiple regression: I. The method. Psychometrika, 1951, 16, 271–284.CrossRefGoogle Scholar
Wherry, R. J. A new formula for predicting the shrinkage of the coefficient of multiple correlation. Ann. math. Statist., 1931, 2, 440–451.CrossRefGoogle Scholar