Calculates lower confidence limits for observed numbers of events using the Wilson Score method (1,2).
wilson_lower(x, n, confidence = 0.95)
Returns lower confidence limits for observed numbers of events using the Wilson Score method (1,2)
the observed numbers of cases in the samples meeting the required condition; numeric vector; no default
the numbers of cases in the samples; numeric vector; no default
the required level of confidence expressed as a number between 0.9 and 1 or a number between 90 and 100 or can be a vector of 0.95 and 0.998, for example, to output both 95 percent and 99.8 percent percent CIs; numeric; default 0.95
This is an internal package function that is appropriately called by exported
'phe_' prefixed functions within the PHEindicatormethods package.
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.#'
(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.