Probability density function

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

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

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

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

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

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

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

# S4 method for 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

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(4), 1, 35, get_tau_ZSquared(0.4))
#> [1] 0.223116


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