Statistical Control Charts Based on a Geometric Distribution

Article

Kaminsky, Frank; Benneyan, James; Davis, Robert; Burke, Richard   (1992, ASQC)   Productivity Sciences Inc.

Journal of Quality Technology    Vol. 24    No. 2
QICID: 11344    April 1992    pp. 63-69
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Article Abstract

In some production processes and administrative processes, the occurrence of certain events is best described by a geometric distribution. Control charts are developed for the total number of events and for the average number of events in a fixed number of units. Computer simulation is used to demonstrate the consequences of applying a standard c-chart or u-chart when the geometric model is appropriate. In a simulated example, construction of a control chart based upon a geometric distribution reduces the false alarm rate from 9.6% to 0.9%. In conclusion, two examples illustrating the applicability of these charts are presented.

Keywords

Statistics,Statistical process control (SPC),Statistical methods,Data collection,Attributes control charts


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