I am currently analysing some pretty awful/awkward data on the abundance of fish under three different "Hydro-Regimes" (5 abundance measurements for each regime - Short/Medium/Long). The current analysis plan had been a one way ANOVA.
Looking at the residuals vs. fitted and the normal Q-Q after plugging it into a linear models indicates right skew. To correct this, I tried to Sq. Rt transform the outcome variable, which gives a reasonable answer, with "short" being significantly different to "long" and "medium" after a post-hoc Tukey. However, plotting the data shows the error bars of "long" and "medium" not to overlap.
I also looked at using a Poisson GLM, which I have read is good for count and skewed data, but I am not sure if this is the right way to go. Any suggestions?