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Interval Estimation of a Normal Process Mean from Rounded Data

Summary: [This abstract is based on the authors' abstract.] Standard statistical methods assume that numerical data are exact when in actuality data are rounded to a unit of measure related to the accuracy of the device used to collect them. Failure to consider severe rounding can have a profound effect on the operating characteristics of statistical methods. The properties of interval estimators of the parameter mu based on rounded normal data are investigated. Two methods are compared: the traditional t interval used for exact normal data and one obtained from inversion of rounded data likelihood ratio test for mu. The purpose is to find reliable confidence intervals for mu.

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  • Topics: Data Quality
  • Keywords: Likelihood methods,Data collection,Gage Repeatability and reproducibility studies (GR&R),Interval estimation
  • Author: Lee, Chiang-Sheng; Vardeman, Stephen B.
  • Journal: Journal of Quality Technology