# Post-hoc analysis on Friedman's test

I am using a Friedman's test with post-hoc analysis. I am using the function friedman.test.with.post.hoc available for R software.

Lets say we have 6 wines and we want an ordered list of the wines according to the judges' rates (best wine, ... ,worst wine).

So, we perform the Friedman test. Suppose $p < \alpha$, we reject the null hypothesis. In other words, there is a significant difference between the wines given the judges' rates. In order to identify which wines are different, we run the post-hoc analysis. By running the post-hoc test, we have that there is only significant difference between the pairs: Wine A/Wine C and Wine A/Wine D.

Given that, how do you conclude the order of the wines? Should I use any other tools?

Thanks.

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## 1 Answer

No I don't think there is any magic statistical tricks to sprinkle on this to tell you the order between Wine C and D. Probably the difference is too small to detect for the given sample size. the remedy is "Get more data!" I hope you made the appropriate multiplicity adjustments for conducting several pairwise tests.

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Ok. Thanks. I wish getting more data was as easy as saying that :) I guess that, for now, I don't have enough evidence to say that there is different between the wines, even though the Friedman test says so. –  prksch Jul 23 '12 at 1:23
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