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 A Theoretically Appropriate Poisson Process Monitor

 

SC-IJPE 34


Ryan Black and Justin R. Chimka

Department of Industrial Engineering,

University of Arkansas,

Fayetteville, AR 72701, USA

 

Received on: January 25, 2012

 

Abstract:

Because the probability of Type I error is not evenly distributed beyond upper and lower three-sigma limits the c chart is theoretically inappropriate for a monitor of Poisson distributed phenomena. Furthermore the normal approximation to the Poisson is of little use when c is small. These practical and theoretical concerns should motivate the computation of true error rates associated with individuals control assuming the Poisson distribution.

 

Status: Under Review