Exact two-sided tolerance interval controlling tail proportions for sample variances

Baocai Guo*, Naifan Zhu, Wei Wang, Yurong Song, Hsiuying Wang

*Corresponding author for this work

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

Tolerance intervals (TIs) for variances are useful when we are interested in the precision of the quality characteristic. They can provide a deeper understanding of the process variability corresponding to process improvement and deterioration. In this paper, we consider the exact two-sided TI for sample variances that simultaneously controls the proportions in each of the two tails of the distribution. The minimum number of subgroups required to achieve a specified level of precision is also computed. Moreover, we minimize the width of the TI through adjusting the tolerance factors, and the performance of the adjusted TI shows some improvement, especially when the amount of reference data is small. Finally, a real application is used to illustrate the construction and implementation of the proposed TIs.

Original languageEnglish
Pages (from-to)1074-1085
Number of pages12
JournalQuality and Reliability Engineering International
Volume36
Issue number3
DOIs
StatePublished - Apr 2020

Keywords

  • minimum number of subgroups
  • sample variance
  • shortest tolerance interval
  • tolerance interval

Fingerprint Dive into the research topics of 'Exact two-sided tolerance interval controlling tail proportions for sample variances'. Together they form a unique fingerprint.

Cite this