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Gauge R&R Analysis for Two-Dimensional Data with Circular Tolerances

Summary: [This abstract is based on the authors' abstract.]

Gauge repeatability and reproducibility (R&R) analyses are considered for two-dimensional data when the engineering tolerance is a circle. Summaries are developed by employing the diameters of circles that provide 99% capture rates. It is also shown that the additivity-of-variance in the one-dimensional gauge R&R case becomes a sub-additivity-of-variance in the two-dimensional case under certain conditions. Measurements of unbalance of rotating devices, where the tolerance must be a circle, are used to motivate the ideas and to illustrate the technique. The method can be extended to other problems as well, and is recommended in conjunction with graphical, other univariate, and multivariate analyses.

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  • Topics:
  • Keywords: Gage Repeatability and reproducibility studies (GR&R),Multivariate capability indices,Measurement,Tolerance
  • Author: Voelkel, Joseph G.
  • Journal: Journal of Quality Technology