probability_density_function: Probability density function

In kkmann/otsd: Adaptive Optimal Two-Stage Designs in R

Probability density function

Description

probability_density_function evaluates the probability density function of a specific distribution dist at a point x.

Usage

probability_density_function(dist, x, n, theta, ...)

## S4 method for signature 'Binomial,numeric,numeric,numeric'
probability_density_function(dist, x, n, theta, ...)

## S4 method for signature 'Normal,numeric,numeric,numeric'
probability_density_function(dist, x, n, theta, ...)

## S4 method for signature 'Student,numeric,numeric,numeric'
probability_density_function(dist, x, n, theta, ...)

Arguments

dist	a univariate distribution object
x	outcome
n	sample size
theta	distribution parameter
...	further optional arguments

Details

If the distribution is Binomial, theta denotes the rate difference between intervention and control group. Then, the mean is assumed to be √ n theta.

If the distribution is Normal, then the mean is assumed to be √ n theta.

Examples

probability_density_function(Binomial(.2, FALSE), 1, 50, .3)

probability_density_function(Normal(), 1, 50, .3)

probability_density_function(Student(TRUE), 1, 40, 1.1)

kkmann/otsd documentation built on Feb. 3, 2024, 4:50 p.m.