NestedModels-class: F-Distribution

In adoptr: Adaptive Optimal Two-Stage Designs

F-Distribution

Description

Implements the F-distribution used for an ANOVA or for the comparison of the fit of two nested regression models. In both cases, the test statistic follows a F-distribution. NestedModel is used to compare the fit of two regression models, where one model contains the independent variables of the smaller model as a subset. Then, one can use ANOVA to determine whether more variance can be explained by adding more independent variables. In the class ANOVA, the number of independent variables of the smaller model is set to 1 in order to match the degrees of freedom and we obtain a one-way ANOVA.

Usage

NestedModels(p_inner, p_outer)

## S4 method for signature 'NestedModels'
quantile(x, probs, n, theta, ...)

## S4 method for signature 'NestedModels,numeric'
simulate(object, nsim, n, theta, seed = NULL, ...)

Arguments

p_inner	number of independent variables in smaller model
p_outer	number of independent variables in bigger model
x	outcome
probs	vector of probabilities
n	sample size
theta	distribution parameter
...	further optional arguments
object	object of class NestedModels
nsim	number of simulation runs
seed	random seed

Slots

p_inner

number of parameters in smaller model

p_outer

number of parameters in bigger model

See Also

See probability_density_function and cumulative_distribution_function to evaluate the pdf and the cdf, respectively. Use ANOVA for detailed information of ANOVA.

Examples

model <- NestedModels(2, 4)

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