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Estimation of Multiple Correlation by Means of Stereographic Projection

Abstract

IN practice, the industrial psychologist is frequently faced with the situation in which he has to choose, from a trial test battery of say ten or more tests, those which will prove most effective in the selection of personnel according to some given criterion. He must then seek for answers to the following questions: (a) What is the individual validity of each test as judged by the criterion? (b) What combination of tests will give the best basis for prediction according to the criterion? (c) What will be the predictive value of such a combination? (d) How few tests may be used to obtain a validity coefficient the value of which does not depart appreciably from the theoretically best figure? (e) In what simple proportions must the scores of the chosen tests be weighted to obtain a close approximation to the best value of the joint validity coefficient?

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References

  1. Phil. Trans. Roy. Soc., A, 200, 1 (1902).

  2. "Textbook of Statistical Method", 291–310 (1923).

  3. "Factors of the Mind", 81, 88 and refs. (1940).

  4. Holzinger, "Statistical Methods for Students in Education", 309.

  5. Garrett, "Statistics in Psychology and Education" (2nd edition), 438–39.

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NAYLOR, G. Estimation of Multiple Correlation by Means of Stereographic Projection. Nature 156, 58–59 (1945). https://doi.org/10.1038/156058a0

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