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. 2018 Feb 27;10(1):9–13. doi: 10.4055/cios.2018.10.1.9

Table 1. CUSUM Equations and Variables Used to Construct a CUSUM Chart.

Variable Value
p0 (Acceptable failure rate) 0.05
p1 (Unacceptable failure rate) 0.10
α (Probability type I error) 0.05
β (Probability type II error) 0.20
P = ln (p1 / p0) 0.69
Q = ln [(1 – p0) / (1 – p1)] 0.05
s = Q / (P + Q) 0.07
1 – S 0.93
a = ln [(1 – β) / α] 2.77
b = ln [(1 – α) / β] 1.56
h0 = −b / (P + Q) −2.09
h1 = a / (P + Q) 3.71

CUSUM: cumulative sum.