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My understanding of bootstrapping is that you may estimate variance (and thus standard error of the population mean) iff your measurements are independent and have the same population distribution, in which case a number of sampling-with-replacement calculations can be done. I suspect that this method of estimation would be less desirable with small n values ...

I'm not a statistician, but I think the comments have got it right. There is never a reason to omit P values, statistical power or some other measure that you have done something that is not a random outcome. For the sake of reference lets define the terms you reference: Eta squared is a ratio of the variances of two sets of measurements Cohen's d is a ...

It has been associated with polymorphisms with the CD4 gene, which is usually implicated in type I diabetes. The wikipedia article for vitiligo also mentions studies for the NALP1 gene. NALP1 is expressed at high levels in T cells and Langerhan cells, white blood cells that are involved in skin autoimmunity.