The development and application of a permutation test for compound symmetry is described. In a simulation study the permutation test appears to be a level-α test and is robust to non-normality. However, it exhibits poor power, particularly for small samples.
Morris, Tracy L.; Payton, Mark E.; and Santorico, Stephanie A.
"A Permutation Test for Compound Symmetry with Application to Gene Expression Data,"
Journal of Modern Applied Statistical Methods: Vol. 10
, Article 6.
Available at: http://digitalcommons.wayne.edu/jmasm/vol10/iss2/6