# probability_density_function: Probability density function In adoptr: Adaptive Optimal Two-Stage Designs in R

## Description

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

## Usage

 ``` 1 2 3 4 5 6 7 8 9 10``` ```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

 ```1 2 3 4 5``` ```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) ```

adoptr documentation built on June 28, 2021, 5:11 p.m.