Two-Sided Tolerance Limits for Balanced Random-Effects ANOVA Models


Beckman, Richard J.; Tietjen, Gary L.   (1989, ASQC and the American Statistical Association)   Los Alamos National Laboratory, Los Alamos, NM

Technometrics    Vol. 31    No. 2
QICID: 9392    May 1989    pp. 185-197
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Article Abstract

In this article, we derive two-sided approximate Beta-content tolerance limits for multiway balanced random-effects models. We provide factors, obtained from numerical integration, that can be used to obtain Beta-content tolerance intervals. We describe methods for extending the results to nested models and discuss the use of the tabled tolerance factors for exact intervals for simple random samples when we have an independent estimate of the variance. We demonstrate the procedure with an experimental design used to evaluate the firing time precision in a high-explosives system.


Statistics,Analysis of variance (ANOVA),Nested experiments

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