Confidence intervals for the single binomial or Poisson rate. Including SCAS or Jeffreys intervals, with or without continuity adjustment, and 'exact' Clopper-Pearson/Garwood or mid-p intervals. This function is vectorised in x, n.
Arguments
- x
Numeric vector of number of events.
- n
Numeric vector of sample size (for binomial rate) or exposure times (for Poisson rate).
- distrib
Character string indicating distribution assumed for the input data: "bin" = binomial (default), "poi" = Poisson.
- level
Number specifying confidence level (between 0 and 1, default 0.95).
- cc
Number or logical (default FALSE) specifying continuity adjustment.
Value
A list containing, for each method, a matrix containing lower and upper confidence limits and point estimate of p for each value of x and n. Methods shown depend on the cc parameter, which specifies whether the continuity adjustment is applied to the SCAS and Jeffreys methods. The corresponding 'exact' method is Clopper-Pearson/Garwood if cc = TRUE and mid-p if cc = FALSE. The last list item contains details of the function call.
References
Laud PJ. Equal-tailed confidence intervals for comparison of rates. Pharmaceutical Statistics 2017; 16:334-348. (Appendix A.4)
Brown LD, Cai TT and DasGupta A. Interval estimation for a binomial proportion. Statistical Science 2001; 16(2):101-133.
Author
Pete Laud, p.j.laud@sheffield.ac.uk