Improved Factors for One-Sided Tolerance Limits for Balanced One-Way ANOVA Random Model
研究了在批次生产场景下，如何确定一个容差限使得至少P比例的产品超过该限的概率为γ。当方差比未知时，基于Satterthwaite近似给出了保守容差限，其因子比Lemon(1977)的方法更小。
Abstract We investigate in this article various techniques for determining a tolerance limit such that the probability is γ that at least a proportion P of a population, produced in batches, exceeds that limit. If the variance ratio is known, one may obtain exact tolerance limits. For settings where the variance ratio is not necessarily known, we describe a procedure, based on the Satterthwaite approximation, for obtaining conservative tolerance limits. The factors based on the Satterthwaite approximation are smaller than those obtained using the procedure of Lemon (1977).