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Performance Monitoring When the Individual Contributing Variables are Unobserved

Summary: A statistical procedure based on weighted least squares regression is derived for making inferences regarding mean values of several random variables when only sums of the random variables and the number of occurrences of each variable contributing to each sum are observed. The estimates of the mean values and their sampling distribution are discussed. The application of the procedure to the monitoring of time standards and an example, which is solved by means of a readily available statistical package, are also presented.

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  • Topics: Statistics
  • Keywords: Statistics,Estimation,Variation,Monitoring,Least squares
  • Author: Marlin, Paul G.
  • Journal: Journal of Quality Technology