PHEindicatormethods (version 1.1.5)

wilson_lower: wilson_lower

Description

Calculates lower confidence limits for observed numbers of events using the Wilson Score method [1,2].

Usage

wilson_lower(x, n, confidence = 0.95)

Arguments

x

the observed numbers of cases in the samples meeting the required condition; numeric vector; no default

n

the numbers of cases in the samples; numeric vector; no default

confidence

the required level of confidence expressed as a number between 0.9 and 1 or 90 and 100; numeric; default 0.95

Value

Returns lower confidence limits for observed numbers of events using the Wilson Score method [1,2]

Notes

wilson_lower and wilson_upper together return symmetric confidence intervals, therefore for a specified confidence level, \(\alpha\), the probability that, by chance, the lower limit returned will be above the true underlying value, is \(\alpha\)/2.#'

References

[1] Wilson EB. Probable inference, the law of succession, and statistical inference. J Am Stat Assoc; 1927; 22. Pg 209 to 212. [2] Newcombe RG, Altman DG. Proportions and their differences. In Altman DG et al. (eds). Statistics with confidence (2nd edn). London: BMJ Books; 2000. Pg 46 to 48.

------------------------------------------------------------------------------------------------