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Confidence levels can give us information that confidence
intervals cannot. For example, we can calculate the level of confidence that a survival
benefit exists with immediate nodal dissection, as follows.
We need to determine how much
confidence lies below 1.00 (HR < 1.00 indicates a survival benefit). From the WHO
study, the point estimate hazard ratio for survival was 0.72, with a standard error of
0.192 (extrapolated from the original publication).
1. Calculate the confidence interval around
the hazard ratio with an upper limit of 1.00 (93% CI in this example)
2. Calculate how much confidence lies below
this confidence interval (half of 7% = 3.5%)
3. Add the two percentages (93 + 3.5 =
96.5%)
Thus there is 96.5% confidence that a survival benefit exists.
This is very high despite the lack of significance! |