cumulative_distribution_function: Cumulative distribution function

In adoptr: Adaptive Optimal Two-Stage Designs

Cumulative distribution function

Description

cumulative_distribution_function evaluates the cumulative distribution function of a specific distribution dist at a point x.

Usage

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

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

## S4 method for signature 'ChiSquared,numeric,numeric,numeric'
cumulative_distribution_function(dist, x, n, theta, ...)

## S4 method for signature 'NestedModels,numeric,numeric,numeric'
cumulative_distribution_function(dist, x, n, theta, ...)

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

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

## S4 method for signature 'Survival,numeric,numeric,numeric'
cumulative_distribution_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.

Value

value of the cumulative distribution function at point x.

Examples

cumulative_distribution_function(Binomial(.1, TRUE), 1, 50, .3)

cumulative_distribution_function(Pearson2xK(3), 1, 30, get_tau_Pearson2xK(c(0.3,0.4,0.7,0.2)))
cumulative_distribution_function(ZSquared(TRUE), 1, 35, get_tau_ZSquared(0.4, 1))


cumulative_distribution_function(ANOVA(3), 1, 30, get_tau_ANOVA(c(0.3, 0.4, 0.7, 0.2)))

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

cumulative_distribution_function(Student(two_armed = FALSE), .75, 50, .9)

cumulative_distribution_function(Survival(0.6,TRUE),0.75,50,0.9)

adoptr documentation built on Oct. 3, 2024, 1:08 a.m.