An Approximation to Two-Sided Tolerance Limits for Normal Populations
- 1 February 1966
- journal article
- research article
- Published by JSTOR in Technometrics
- Vol. 8 (1) , 115
- https://doi.org/10.2307/1266266
Abstract
The authors present a means of computing two-sided tolerance limits for normal populations by algebraic formulae. Their method utilizes the Fisher-Cornish approximation to the chi-square quantile and an equation in three coefficients empirically derived. They include an analysis of the errors in the two formulae and suggest methods of incorporating the calculations in computer programs. The tables of Weissberg and Beatty [6] have been an invaluable aid for the construction of two-sided tolerance limits for normal populations. In this article we present a means of computing these tolerance limits with a high speed computer following the lead of Weissberg and Beatty. Our method avoids the problem of solving integral equations by replacing the integral equations with algebraic formulae which approximate the solution to a reasonable degree of accuracy.Keywords
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