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When monitoring a multiple stream process (MSP) where multiple processes which are assumed to be identical are being simultaneously monitored, but the assumption of normality cannot be reasonably be verified, the NEMT-CUSUM control chart has been proposed as a possible non parametric alternative. However, in the beginning stages of a monitoring program, it would be useful to the chart operator to know how effective the NEMT-CUSUM will be at detecting shifts away from target given. One way of assessing effectiveness is via statistical power, which is the probability of detecting a shift in some subset of streams at a particular point in time. The purpose of this study is to derive the alternative distribution of the NEMT-CUSUM plotting statistic such that statistical power can be estimated. Examples, practical implications, and future directions are given.

The alternative distribution of the non parametric extended median test CUSUM chart for multiple stream processes