A two-sided test is performed by default:

Test

versus

:

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 median-based tests:

By default

-values are computed using asymptotic test statistic distributions:

For univariate median-based tests

-values can be obtained using permutation methods:

Set the number of permutations to use:

By default

random permutations are used:

For some tests, the permutation result is exact:

The result is not affected by the number of permutations when exact tests are used:

For mean-based tests, the

-value is exact under the assumptions of the test:

Set the seed used for generating random permutations:

Set the significance level for diagnostic tests:

By default,

is used:

Setting the significance level may alter which test is automatically chosen:

A median-based test would have been chosen by default:

The significance level is also used for

and

:

By default normality and equal variance are tested when appropriate:

If assumptions are not checked, some test results may differ:

Diagnostics can be controlled as a group using

All or

None:

Verify all assumptions:

Check no assumptions:

Diagnostics can be controlled independently:

Assume normality and symmetry but check for equal variances:

Only check for normality:

Unlisted assumptions are not tested:

Normality is assumed:

The result is the same but a warning is issued:

Bypassing diagnostic tests can save compute time:

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: