Is there an alternative for the three way anova in the case that the assumptions of the three way anova are not met? (So I am looking for a non-parametric test with three factors)

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    $\begingroup$ As a short cut, you could always rank the observations after an ascending sort, and input the ranks into 3-way ANOVA. Sure, there are assumptions about doing this, but we have done it for publications before. $\endgroup$ – JoleT Oct 27 '16 at 14:14
  • $\begingroup$ You can bootstrap ... $\endgroup$ – kjetil b halvorsen Oct 27 '16 at 14:18

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