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I'd like to know how to compute the variance of a proportion using the point estimate and confidence interval. In this case, I'm referring to data from a 2 x 2 table: Sensitivity = 0.88 (95% CI, 0.77 to 0.95). Is it possible to estimate the variance of the sensitivity (0.88) given that confidence interval? If not, what other information do I need? Thanks in advance.

mkpcr
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  • I'm voting to close this question as off-topic because it is about statistics and [math.se] instead of programming or software development. – Pang Oct 11 '18 at 02:33

1 Answers1

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IF the CI was estimated using a normal approximation:
The formula for a binomial proportion confidence interval is

enter image description here

So from this you can reverse the equation and get the SD out.

user2974951
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