Permutation Test for ANOVA

This menu can be used to perform random permutation tests for an Analysis of Variance. Random permutation tests provide an alternative to using the F probabilities printed for variance ratios in an analysis of variance table in situations where the assumptions of the analysis are not satisfied. These assumptions can be assessed by studying the residual plots. In particular, the use of the F distribution to calculate the probabilities is based on the assumption that the residuals from each stratum have Normal distributions with equal variances, and so the histogram of residuals should look reasonably close to the Normal, bell-shaped curve. Experience shows the analysis is robust to small departures from Normality. Random permutation tests can be useful if the histogram looks very non-Normal (and you are unable to redefine the analysis as a generalized linear model).

Display

Specifies which items of output are to be displayed in the Output Window.

AOV Table	displays an analysis-of-variance table with the usual F probabilities replaced by those from the permutation test
Critical Values	critical values for each variance ratio

Block factor excluded from randomization

A drop down list of the block factors in the current design that can excluded from the randomization. The most common instance where this is required is when one of the treatment factors involves time-order which cannot be randomized.

Number of permutations

This options specifies the number of permutations, default 999. The permutation test checks whether this values is greater than the number of possible permutations available for the data set. If so, an exact test is used instead, which uses each possible permutation once.

Seed

Specifies the seed for the random number generator used to make the permutations; default 0 continues from the previous generation or (if none) initializes the seed automatically.

Action Buttons

Run	Run the permutation test.
Cancel	Close the menu without further changes.