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proportions data

mikhail matz 
Hello colleagues,

I am looking at the functional correlates of fluorescent color in the  
coral larvae. My response variable ("redness") is a proportion,  
ranging from about 0.5 to 0.9. The distribution of these is not very  
normal, unfortunately.  Arcsin-sqrt  transformation does not fully  
solve the problem: about a quarter of all the groups that I am  
comparing still deviate from normality (lillie.test). The data tend  
to be ever so slightly skewed towards larger values, but with the  
sample sizes I have even a small deviation from bell-shape leads to  
rejection of normality.

  Is there anything I can do to be formally able to run mixed model  
analysis on such data?

Misha
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Mikhail V. Matz
University of Texas at Austin
  http://www.bio.utexas.edu/research/matz_lab