atost {cTOST}

The alpha-TOST Corrective Procedure for (Bio)Equivalence Testing

Description

This functions is used to compute the alpha-TOST, a corrective procedure of the significance level applied to the Two One-Sided Test (TOST) for (bio)equivalence testing in the univariate framework.

Usage

atost(theta, sigma, nu, alpha, delta)

Arguments

theta

A numeric value corresponding to the difference of means.

sigma

A numeric value corresponding to the standard error.

nu

A numeric value corresponding to the number of degrees of freedom.

alpha

A numeric value specifying the significance level.

delta

A numeric value corresponding to (bio)equivalence limit. We assume symmetry, i.e, the (bio)equivalence interval corresponds to (-delta,delta)

Value

A tost object with the structure:

• decision: A boolean variable indicating whether (bio)equivalence is accepted or not.

• ci: Confidence interval at the 1 - 2*alpha level.

• theta: The difference of means used for the test.

• sigma: The standard error used for the test.

• nu: The number of degrees of freedom used for the test.

• alpha: The significance level used for the test.

• delta: The (bio)equivalence limits used for the test.

• method: The method used for the test (here the "alpha-TOST").

Author(s)

Younes Boulaguiem, Stéphane Guerrier, Dominique-Laurent Couturier

Examples

data(skin)

theta_hat = diff(apply(skin,2,mean))
nu = nrow(skin) - 1
sig_hat = sd(apply(skin,1,diff))/sqrt(nu)
res_atost = atost(theta = theta_hat, sigma = sig_hat, nu = nu,
              alpha = 0.05, delta = log(1.25))
res_atost
compare_to_tost(res_atost)