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