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The Probability of a Type I Error and the Power to Detect a Single Slippage for the Upper Limit Control Chart for Number of Defects

Summary: A procedure for testing an industrial process for control with respect to defects-per-unit is to compare the number of defects observed in each of k samples with an upper control limit. The control limit is calculated using a multiplier of the standard deviation which may be different than the multiplier three, which is usually used for control charts. Using the variation in the probability of a type I error and power for different values of the multiplier and k, procedures are described to increase the effectiveness of the control chart for number of defects.

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  • Topics:
  • Keywords: Control charts,Statistical methods,Type I error
  • Author: McCue, Edmund B.
  • Journal: Journal of Quality Technology