Skip to main content
. 2019 Apr 11;20(5):844–853. doi: 10.3348/kjr.2018.0555

Table 1. Construction of Cumulative Summation Charts with Varying Acceptable and Unacceptable Failure Rates.

Variables Diagnostic Performance Diagnostic Performance Diagnostic Performance Pneumothorax Occurrence
p0 = 0.04 p0 = 0.06 p0 = 0.10 p0 = 0.25
p1 = 0.08 p1 = 0.12 p1 = 0.20 p1 = 0.45
a = ln ([1 - β] / α) 2.20 2.20 2.20 2.20
b = ln ([1 - α) / β) 2.20 2.20 2.20 2.20
P = ln (p1 / p0) 0.69 0.69 0.69 0.59
Q = ln ([1 - p1] / [1 - p0]) 0.04 0.07 0.12 0.31
H0 = b / (P + Q) -2.99 -2.89 -2.71 -2.45
H1 = a / (P + Q) 2.99 2.89 2.71 2.45
s = Q / (P + Q) 0.06 0.09 0.15 0.35

H0 = lower decision limit, H1 = upper decision limit, p0 = acceptable failure rate, p1 = unacceptable failure rate, s = score, α = type I error level, β = type II error level