Remarks on the method of paired comparisons: III. A test of significance for paired comparisons when equal standard deviations and equal correlations are assumed

A test of goodness of fit is developed for Thurstone's method of paired comparisons, Case V. The test involves the computation of , wheren is the number of observations per pair, and and are the angles obtained by applying the inverse sine transformation to the fitted and the observed proportions respectively. The number of degrees of freedom is (k–1) (k–2)/2.This research was performed in the Laboratory of Social Relations under a grant made available to Harvard University by the RAND Corporation under the Department of the Air Force, Project RAND.