One-Sided Tolerance Limits for Balanced One-Way ANOVA Random Model.

Abstract : The authors investigate various techniques for determining a tolerance limit L such that the probability is gamma that at least a proportion P of a population produced in batches exceeds L. First, they evaluate the approach of Lemon for this problem and then present alternative approaches. If the variance ratio is known, one may obtain exact tolerance limits. For settings where the variance ratio is not necessarily known, they describe a procedure, based on the Satterthwaite approximation, for obtaining conservative tolerance limits. (Author)