paramtnormci_numeric: Return parameters of truncated normal distribution based on a confidence interval.

Description

This function calculates the distribution parameters, i.e. mean and sd, of a truncated normal distribution from an arbitrary confidence interval.

paramtnormci_numeric(
  p,
  ci,
  lowerTrunc = -Inf,
  upperTrunc = Inf,
  relativeTolerance = 0.05,
  rootMethod = "probability",
  ...
)

A list with elements mean and sd, i.e. the parameters of the underlying normal distribution.

p: numeric 2-dimensional vector; probabilities of lower and upper bound of the corresponding confidence interval.
ci: numeric 2-dimensional vector; lower, i.e ci[[1]], and upper bound, i.e ci[[2]], of the confidence interval.
lowerTrunc: numeric; lower truncation point of the distribution (>= -Inf).
upperTrunc: numeric; upper truncation point of the distribution (<= Inf).
relativeTolerance: numeric; the relative tolerance level of deviation of the generated confidence interval from the specified interval. If this deviation is greater than relativeTolerance a warning is given.
rootMethod: character; if ="probability" the equation defining the parameters mean and sd is the difference between calculated and given probabilities of the confidence interval; if ="quantile" the equation defining the parameters is the difference between calculated and given upper and lower value of the confidence interval.
...: Further parameters passed to nleqslv.

For details of the truncated normal distribution see tnorm. #' @importFrom nleqslv nleqslv