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Formulas for the Design of CUSUM Quality Control Charts
Authors:Peter A Rogerson
Institution:1. Departments of Geography and Biostatistics, and National Center for Geographic Information and Analysis , University at Buffalo , Buffalo, New York, USA rogerson@buffalo.edu
Abstract:ABSTRACT

In the design of CUSUM control charts, it is common to use charts, tables, or software to find an appropriate critical threshold (h). This article provides an approximate formula to calculate the threshold directly from prespecified values of the reference value (k) and the in-control average run length (ARL0). Formulas are also provided for choosing k and h from prespecified values of the in-control and out-of-control average run lengths.
Keywords:Average run length  CUSUM design  Reference value  Threshold
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