Include CIs for Generalized Eta-Squared

[palday]

Including Generalized Eta Squared in the output for ezANOVA is really great for getting people to start looking at effect sizes and not just p-values. But we should also consider what the confidence interval for effect size looks like. Would it be possible to include the CI in the output for detailed=TRUE? There's a blog post on doing this in R here.

[mike-lawrence]

Interesting idea. I'm not familiar enough to know whether there is an analytic solution to deriving a CI for the generalized eta square provided by ezANOVA; the post you link discusses a CI for regular ol' eta square.

[palday]

The general impression I'm getting from the literature I've been skimming the last few days is that an anayltic solution may not be known. I'll keep looking for one. Maybe some derivation from the CIs for regular eta square.

It still might make sense to include the bootstrapped CI elsewhere. Perhaps in some further helper function? I'm not sure what would be the best from an API perspective.

[IndrajeetPatil]

I would also request CIs for this effect size be supported. This will be a nice addition to the already rich output from ez.