I've described a typical design for my experiments [in this question](http://stats.stackexchange.com/questions/11887/is-this-design-a-one-way-repeated-measures-anova-or-not). Well, 1-way RM ANOVA assumes a Gaussian distributed vector.  
I try $y=\arcsin{\sqrt{x}}$. But for some data it works, for some doesn't... So the next step is to find the most powerful/general statistics. [Freeman — Tukey's transformation](http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.aoms/1177729756) with $y=\sqrt{x}+\sqrt{x+1}$ is the most powerful and seems to be appropriate in almost all my cases but again it doesn't give normal data sometimes.  
What should I do this case ? [Box — Cox transformation](http://stats.stackexchange.com/questions/1601/normalizing-transformation-options)?  
Is it OK to transform data using different statistics within 1 thesis/article?

*Thank you in advance*