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Exact two‐sided statistical tolerance limits for sample variances
Author(s) -
Sarmiento Martin G.C.,
Chakraborti S.,
Epprecht Eugenio K.
Publication year - 2018
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2321
Subject(s) - tolerance interval , tolerance analysis , variance (accounting) , statistics , sample (material) , sample size determination , computer science , quality (philosophy) , process (computing) , process capability , interval (graph theory) , population , reliability engineering , confidence interval , mathematics , engineering , work in process , operations management , medicine , philosophy , chemistry , accounting , epistemology , chromatography , combinatorics , business , environmental health , operating system
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.