natural.tolerance.binom.simple: Natural Tolerance - Binomial Distribution

In burrm/lolcat: Miscellaneous Useful Functions

Natural Tolerance - Binomial Distribution

Description

Calculates the natural tolerance of a given probability distribution, defined as F(p.upper)-F(p.lower) where F is a quantile function for a given univariate distribution. Default is to calculate the natural tolerance with a total tail area of .0027, or .00135 on the lower tail and .00135 on the upper tail. Note: for discrete distributions, tail areas may not exactly equal the input parameters.

Usage

natural.tolerance.binom.simple(
  size = 10,
  prob = 0.5,
  total.area = 1 - 0.9973,
  upper.tail = total.area/2,
  lower.tail = total.area/2,
  details = T
)

Arguments

size	Scalar/numeric - Sample size
prob	Scalar/numeric - probability of "success".
total.area	Scalar/numeric - the total area to use for the calculation, default is .0027
upper.tail	Scalar/numeric - upper tail area to use for the calculation, default is .00135
lower.tail	Scalar/numeric - lower tail area to use for the calculation, default is .00135
details	Scalar/logical - Include calculation details, default is to return details

Value

Scalar or data.frame - scalar if details = F, otherwise data frame with details from calculation.

burrm/lolcat documentation built on Aug. 15, 2024, 6:16 p.m.