Probability density function

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 class 'Binomial,numeric,numeric,numeric'
probability_density_function(dist, x, n, theta, ...)

# S4 method for class 'ChiSquared,numeric,numeric,numeric'
probability_density_function(dist, x, n, theta, ...)

# S4 method for class 'NestedModels,numeric,numeric,numeric'
probability_density_function(dist, x, n, theta, ...)

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

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

# S4 method for class 'Survival,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

Value

value of the probability density function at point x.

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)
#> [1] 0.0008519612

probability_density_function(Pearson2xK(3), 1, 30, get_tau_Pearson2xK(c(0.3, 0.4, 0.7, 0.2)))
#> [1] 0.003505548
probability_density_function(ZSquared(TRUE), 1, 35, get_tau_ZSquared(0.4, 1))
#> [1] 0.1646112


probability_density_function(ANOVA(3), 1, 30, get_tau_ANOVA(c(0.3, 0.4, 0.7, 0.2)))
#> [1] 0.2513264

probability_density_function(Normal(), 1, 50, .3)
#> [1] 0.3520653

probability_density_function(Student(TRUE), 1, 40, 1.1)
#> [1] 0.0001946335

probability_density_function(Survival(0.6,TRUE),0.75,50,0.9)
#> [1] 0.1765677