TESTS FOR PRECISION AND ACCURACY OF MULTIPLE MEASURING DEVICES

We propose a multivariate linear model for analyzing measurement-devic e data that follow Grubbs's model. The multivariate model generates th e well-known regression (multiple correlation) test for equality of de vice variances. It also yields a new simultaneous test for equality of variances and biases. The multivariate model readily permits testing of interesting sub-hypotheses involving the variances and biases. We e xamine the power of these tests for one-dimensional hypotheses compare them to tests proposed by Grubbs, and propose generalizations of Grub bs's tests. We also consider extensions of Grubbs's model that allow s imilar regression and simultaneous tests to be performed.