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Predicting Multiple Criteria: Comparison of Two Vectors of Regression Coefficients

The present paper generalizes the t ratio used in testing the difference between two independent regression coefficients to the multivariate case of testing the difference between two vectors of regression coefficients. The generalized statistic is particularly useful when one wishes to determine which of two variables is the best predictor of a number of criterion variables. In addition, simultaneous confidence bounds may be applied at the level of each pairwise difference.