A two-sided test is performed by default:

Perform a two-sided test or a one-sided alternative:

Test

versus

:

Test

versus

:

Test

versus

:

Perform tests with one-sided alternatives when

is given:

Test

versus

:

Test

versus

:

Set the maximum number of iterations to use for multivariate tests:

By default, 500 iterations are allowed:

Setting the maximum number of iterations may result in lack of convergence:

The

-values are not equivalent:

By default

-values are computed using asymptotic test statistic distributions:

Permutation methods can be used:

Set the number of permutations to use:

By default

random permutations are used:

Set the seed used for generating random permutations:

Set the significance level for diagnostic tests:

By default,

is used:

The significance level is also used for

and

:

Diagnostics can be controlled as a group using

All or

None:

Verify all assumptions:

Check no assumptions:

Diagnostics can be controlled independently:

Check for symmetry:

It is often useful to bypass diagnostic tests for simulation purposes:

The assumptions of the test hold by design, so a great deal of time can be saved:

The results are identical: