Abstract
The null hypothesis of a one-sample test of multivariate means states that the population centroid is equal to a vector of specified constants. If this hypothesis is rejected, then the distance from the population centroid to the hypothesized centroid is different from zero. The purpose of this paper is to present a linear function (analogous to a discriminant function) which will allow the data analyst to interpret the dimension of the line joining the two centroids. The statistics developed to interpret this dimension are the coefficients of a discriminant function and the correlation of each dependent variable with a discriminant score. A data example is also presented to demonstrate the material and contrast it with conventional methodology.
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