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Development of a Method for Increasing the Utility of Multiple Correlations by Considering both Testing Time and Test Validity

Published online by Cambridge University Press:  01 January 2025

W. F. Long  and
Irving W. Burr
W. F. Long
Affiliation:
Purdue University
Irving W. Burr
Affiliation:
Purdue University
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Abstract

A modification of the Wherry-Doolittle test selection method is presented by which tests are included in a multiple correlation (obtained for a given battery of tests) in the sequence in which the rate of return in validity per unit of testing time is greatest, rather than in the order of the size of their contribution to the multiple correlation. It is proposed that the modified method can be utilized profitably when there are economic or practical limits on the time available for test administration.

Type
Original Paper
Information
Psychometrika , Volume 14 , Issue 2 , June 1949 , pp. 137 - 161
Copyright
Copyright © 1949 The Psychometric Society

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Footnotes

*

The major portion of this article is based upon a thesis by W. F. Long directed by Dr. Joseph Tiffin with the counsel of Dr. Irving W. Burr. This thesis was submitted in partial fulfillment of the requirements for the degree of Master of Science in Psychology, Purdue University, June, 1947.

References

† See Garrett, Henry E. Statistics in psychology and education. New York: Longmans, Green & Co., 1947, pp. 435-451 or Stead, W. H., Shartle, D. L. and associates. Occupational counseling techniques. New York: American Book Co., 1940, Appendices 5 and 6.

* Use of this formula assumes that the entire test is homogeneous.

† Peters, Charles C. and Van Voorhis, Walter R. Statistical procedures and their mathematical bases. New York: McGraw-Hill Book Co., 1940, p. 196.

* Actually, only the intercorrelations of those tests included in the multiple correlation are needed., However, it is probably as economical in time and effort in the long run to calculate all intercorrelations at one time, unless the number of tests under consideration is large.

* Theoretically, the square root of the obtained reliability represents the upper limit of the coefficient of validity for a test. See Lindquist, E. F. A first course in statistics. New York: Houghton-Mifflin Co., 1942, p. 224.