The Use of the Doolittle Method in Obtaining Related Multiple Correlation Coefficients

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Abstract
It is well known that at the present time the Doolittle method is one of the most efficient methods of computing the multiple correlation coefficient between a criterion and several independent variables.This presentation calls attention to an extremely simple modification of the Doolittle method by means of which (a) a single forward solution will supply all the data necessary for multiple correlation coefficients instead of the usual one, or (b) the multiple correlation between each of several criteria and the same set of independent variables may be obtained with only a little more work than is needed to obtain the multiple correlation between these independent variables and a single criterion. It is even possible to compute the multiple correlation between several independent variables and a criterion; and then to regard one of the former independent variables as a second criterion and compute the correlation between the remaining independent variables and the new criterion. In all these cases the number of back solutions is equal to the number of multiple correlation coefficients desired, but a single forward solution suffices.

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