Some Exact Tests of Hypotheses about Grubbs's Estimators

Abstract

When two instruments or techniques are used to measure the same item, the measurement precisions may be estimated using a method proposed by Grubbs [1948]. The present paper generalizes certain tests given by earlier authors. Using this general result, some exact tests of certain hypotheses are obtained for which only approximate results were available. The results can also be used to construct exact confidence intervals for the relative precision of two instruments.