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- 1$\begingroup$ Thanks for your answer. This is something that interests me, because some text books say that the Tukey HSD comparisons should not be done if the overall test is not significant. I've done a few simulations which showed that the Tukey HSD confidence intervals have the correct coverage regardless of significance of the overall test, so I don't quite understand the recommendation to only use them if the overall test is significant. I'll be interested to hear some other opinions. $\endgroup$mark999– mark9992011-06-21 07:07:55 +00:00Commented Jun 21, 2011 at 7:07
- $\begingroup$ definitely with you on reporting CIs. The article by Colegrave & Ruxton that @stan cited has a nice explanation of this, which I'll quote: "What we are interested in is the description of the possible effect sizes that are supported by the data that we have, and the possible effect sizes that are not supported. [...] If the test was nonsignificant, then the confidence interval for effect size will span zero. However the breadth of that confidence interval gives an indication of the likelihood of the real effect size being zero." $\endgroup$Freya Harrison– Freya Harrison2011-06-21 09:14:39 +00:00Commented Jun 21, 2011 at 9:14
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