Limitations of the rank transform statistic in tests for interactions

Abstract
Conover and Iman (1976), Iman (1974), and Iman and Conover (1976) have found the rank transform test to be robust and powerful when testing for interaction in experimental designs.The current study shows that, insofar as tests for interactions are concerned, the rank transform test is robust and powerful in some circumstances but is dramatically nonrobust and manifests power significantly below that of the usual F test in some cases. Therefore, this procedure should be used only withcaution when employed in designs suchas those examined here.

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