There has been some discussion about why differences exist between factor significance after an ANOVA and no significance in the pairwise comparisons, and it has been very helpful. However, there is no directions regarding how to proceed. For instance, in my case the overall P value given by a one-way ANOVA for the treatment factor was P=0.0127 but all of the treatments came out as not significantly different from each other following Tukey's LSD. Should I run a different post-hoc test in this case? Which one would you recommend?
Thank you so much!