ci_quantile: CI for a Population Quantile

Description

This function calculates CIs for a population quantile. By default, distribution-free CIs based on the binomial distribution are calculated, see Hahn and Meeker. Alternatively, bootstrap CIs are available (by default "bca").

Usage

ci_quantile(
  x,
  q = 0.5,
  probs = c(0.025, 0.975),
  type = c("binomial", "bootstrap"),
  boot_type = c("bca", "perc", "norm", "basic"),
  R = 9999L,
  seed = NULL,
  ...
)

Value

An object of class "cint" containing these components:

parameter: Parameter specification.
interval: CI for the parameter.
estimate: Parameter estimate.
probs: Lower and upper probabilities.
type: Type of interval.
info: Additional description.

Arguments

x: A numeric vector.
q: A single probability value determining the quantile. Set to 0.5 for the median (the default).
probs: Lower and upper probabilities, by default c(0.025, 0.975).
type: Type of CI. One of "binomial" (default), or "bootstrap".
boot_type: Type of bootstrap CI ("bca", "perc", "norm", "basic"). Only used for type = "bootstrap".
R: The number of bootstrap resamples. Only used for type = "bootstrap".
seed: An integer random seed. Only used for type = "bootstrap".
...: Further arguments passed to boot::boot().

References

Hahn, G. and Meeker, W. (1991). Statistical Intervals. Wiley 1991.

Examples

Run this code

x <- 1:100
ci_quantile(x, q = 0.25)