Exact two‐sided statistical tolerance limits for sample variances

Martín Guillermo Cornejo Sarmiento, Subhabrata Chakraborti, Eugenio Kahn Epprecht

Research output: Contribution to journalArticle (Contribution to Journal)peer-review

6 Scopus citations


Statistical tolerance intervals are widely used in the industry and in various areas of sciences, especially in conformity assessment and acceptance of products or processes in terms of quality. When the interest is in precision, a tolerance interval for the variance is useful. In this paper, we consider two-sided tolerance intervals for the population of sample variances for data that arise from a normal distribution. These intervals are useful in applications where one needs information about process deterioration as well as process improvement, to properly assess product quality. In this paper, the theory for these tolerance intervals is developed and tables for the tolerance factors, required to calculate the proposed tolerance limits, are provided for various settings. Construction and implementation of the proposed tolerance intervals are illustrated using a dataset from a real application. Summary and conclusions are offered.
Original languageEnglish
Pages (from-to)1238–1253
Number of pages16
JournalQuality and Reliability Engineering International
Issue number6
StatePublished - 1 Jul 2018

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