I agree with David. A dispersion parameter of 25 suggests that you have
mainly 0's in your data set and your model is not adequate. Perhabs you
should dichotomize your data in 0 and 1's and use a logistic mixed model but
be aware of small numbers of events. 


That amount of overdispersion would make the use of a poisson model
very questionable, and will very likely result in estimated standard
errors that are too low, hence the change in statistical significance
when you switch to quasipoisson.

O
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