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APPLIED MULTIVARIATE STATISTICS: WITH SAS® SOFTWARE by Dayanand N. Naik, Ravindra Khattree

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3.9. Variance and Bias Analyses for Calibration Problems

This section presents an application of the multivariate analysis of variance techniques to test for equality of variances in several measuring devices. The approach is taken from Christensen and Blackwood (1993). Such calibration problems occur frequently in assessing the relative measurement quality of various instruments or of a particular instrument at various times.

Suppose yij i = 1,..., n, j = 1,..., q are the measurements for a random sample of n items distributed around their respective true values, each measured by q instruments or at q different laboratories. If αj is the fixed bias of the jth instrument and ϵij are the independent random errors with zero mean and variance ...

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