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For the evaluation of carcinogenicity bioassays a new trend test is proposedwhich is based on a maximum of arithmetic, ordinal, and logarithmic regressionscores as well as the Williams-type contrasts for either crude proportions ormore appropriate poly3-estimates for the tumor-by-time relationships. This testprovides an almost appropriate power for most shapes of dose-responserelationships (including for possible downturn effect at high(er) dose(s)),common signs of significance (p-value, confidence limits) and the informationon the probable shape. Related software is easily available within theCRAN-packages tukeytrend, MCPAN, multcomp.

A versatile trend test for the evaluation of tumor incidences in long-term carcinogenicity bioassays