An advanced CUSUM chart for attributes

This article studies a unique feature of the binomial CUSUM chart in which the difference (d_t - d₀) is replaced by (d_t - d₀)² in the formulation of the cumulative sum C_t (where d_t and d₀ are the actual and in-control numbers of nonconforming units, respectively, in one sample). The results of the performance studies reveal that this new feature is able to increase the detection effectiveness when fraction nonconforming p becomes three to four times large as the in-control value p₀.