Bivariate dispersion quality control charts

Document Type

Article

Publication Date

1-1-1986

Abstract

A Shewhart procedure is used to simultaneously control the standard deviations of quality characteristics assumed to have a bivariate normal distribution. Following Krishnaiah et al (1963), we use the bivariate chi-square distribution to determine probabilities of out-of-control signals and thus the respective average run lengths (ARLs). Results from an example indicate that for both one-sided and two-sided cases, signals occur only slightly more quickly for changes in the process standard deviations for uncorrelated variables than for correlated variables. © 1986, Taylor & Francis Group, LLC. All rights reserved.

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