When a correlation is taken in a sample in which the range of the variables being correlated is limited, it is often desired to apply the correlation to groups with different ranges for the variables. In such situations a correction for restriction of range may be necessary. In this paper four cases in which correction of the correlation coefficient is possible are considered, and a computer program to perform the corrections is presented. The program, which includes an iterative correction algorithm for explicit restriction on both variables, is available from the authors.
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References
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Guilford, J. P.Fundamental statistics in psychology and education. (4th ed.) New York: McGraw-Hill, 1965.
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Wells, D. G. and Fruchter, B.Correcting the correlation coefficient for explicit restriction on both variables. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT , 1970, 30, 925-934.