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Error with glmmADMB and beta distribution

You're right, I have 116 AUC values of 1 (out of 4318 observations). I
tried running the model without these values and I still got the same
error. When I also excluded the random effect (in addition to removing AUC
values of 1) I got this error:

Estimated covariance matrix may not be positive definite
 6.27097e-06 0.201327 0.239814 0.244739 0.260651 0.264242 0.277349
0.314547 0.325412 0.327576 0.33569 0.379634 0.410961 0.425718 0.433164
0.455047 0.466607 0.539125 0.578641 0.6752 0.712861 0.726921 0.970862
1.15373 1.64282

I have 20 studies but the data is very unbalanced ranging from 1 to 1778
observations/study.  Before learning about glmmadmb, the only other
distribution that I found to work with this data is the quasi-binomial
distribution but then I have to rely on marginal tests of parameters which
I understand is not appropriate for unbalanced data and the variable I'm
interested in is categorical with more than 2 levels. I can't calculate
quasi-AIC as you suggest here:
http://cran.r-project.org/web/packages/bbmle/vignettes/quasi.pdf

because the binomial model won't converge. I realize I won't find a
perfect solution to this problem but I'm not sure which solution is the
least problematic!

Thanks,
Heather
------
Heather Kharouba
PhD candidate
Department of Zoology & Beaty Biodiversity Centre
University of British Columbia
4200-6270 University Blvd., Vancouver, B.C. V6T 1Z4
http://www.zoology.ubc.ca/~kharouba