Package index

Carrying out tests of the composite null hypothesis arising in mediation analysis

Minimax optimal test

mediation_test_minimax()

Minimax optimal testing

mediation_test_minimax_BH()

Minimax optimal testing, aiming for a control of false discovery rate à la Benjamini-Hochberg

Bayes risk optimal test

mediation_test_Bayes()

Bayes risk optimal testing

Utility functions

Maps

’Map’s of rejection probabilities for the Bayes risk optimal test and a function to compute them.

compute_map_rejection_probs()

Computing 'map's of rejection probabilities for the Bayes risk optimal test

map_01_0.05

'Map' of rejection probabilities for the Bayes risk optimal testing procedure, 0-1 loss function and 0.05 type-I error, using standard normal approximations for the involved t-distributions

map_01_0.05_t50

'Map' of rejection probabilities for the Bayes risk optimal testing procedure, 0-1 loss function and 0.05 type-I error, without using standard normal approximations for the involved t-distributions with 49 degrees of freedom

map_quad_0.05

'Map' of rejection probabilities for the Bayes risk optimal testing procedure, quadratic loss function and 0.05 type-I error, using standard normal approximations for the involved t-distributions

map_quad_0.05_t50

'Map' of rejection probabilities for the Bayes risk optimal testing procedure, quadratic loss function and 0.05 type-I error, without using standard normal approximations for the involved t-distributions with 49 degrees of freedom

map_quad_0.05_0.1

'Map' of rejection probabilities for the Bayes risk optimal testing procedure, quadratic loss function, 0.05 type-I error and 0.1 truncation, using standard normal approximations for the involved t-distributions

map_quad_0.05_0.1_t50

'Map' of rejection probabilities for the Bayes risk optimal testing procedure, quadratic loss function, 0.05 type-I error and 0.1 truncation, without using standard normal approximations for the involved t-distributions

map_01_0.01

'Map' of rejection probabilities for the Bayes risk optimal testing procedure, 0-1 loss function and 0.01 type-I error, using standard normal approximations for the involved t-distributions

map_quad_0.01

'Map' of rejection probabilities for the Bayes risk optimal testing procedure, quadratic loss function and 0.01 type-I error, using standard normal approximations for the involved t-distributions

map_quad_0.01_0.1

'Map' of rejection probabilities for the Bayes risk optimal testing procedure, quadratic loss function, 0.01 type-I error and 0.1 truncation, using standard normal approximations for the involved t-distributions

Printing and plotting

print(<mediation.test>)

Prints the output of functions mediation_test_minimax and mediation_test_Bayes.

plot(<mediation.test>)

Plots the output of functions mediation_test_minimax and mediation_test_Bayes with the rejection region.

plot(<map.rejection.probabilities>)

Plots the 'map' of rejection probabilities for the Bayes risk optimal test