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Multivariate Tolerance Regions and F-Tests

Summary: Important steps in developing a quality control procedure are the determination of standards or norms and checking adherence to these standards or norms. In this article, we present a methodology for process control based on multivariate tolerance regions. We study the relationship between the F-test and tolerance regions. An approximation procedure is presented which allows the user to simplify the analysis by making use of a central chi-square variable instead of the exact non-central chi-square variate.

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  • Topics: Statistical Process Control (SPC), Quality Control
  • Keywords: Process control,Quality control methodology,Multivariate control charts,Multivariate tolerance limits
  • Author: Fuchs, Camil; Kenett, Ron S.
  • Journal: Journal of Quality Technology