Let's say I run an experiment with one dependent variable and three experimental groups. In the end I would like to report both the results of a statistical test to know if there are any group effects, but also some descriptive statistics (center and spread) for the individual populations. The data won't be normally distributed (the dependent variable is continuous but bounded between 0 and 1), so I plan to use a Kruskal-Wallis test and report the median and interquartile range. However, I've been reading (here, and elsewhere) that the Kruskal-Wallis test isn't necessarily appropriate to use in cases of normality violations.
So if I use the more standard ANOVA instead, would it still be appropriate to report the median and interquartile range, or would that not 'fit' with the test?
[Edit]: The data look similar to (truncated) Gamma distributions.