Hi All,
I am attempting to run all of the GOF tests to determine c-hat but my model deviance degrees of freedom is 0 and so I am not sure how to proceed.
Briefly, my global CJS model has 3 treament groups (2 releases of each) and 7 detection sites within a river. There are no new tags added during the study and all fish are actively migrating downstream and thus survival of each group decreases as fish migrate farther from the release site. The detection probabilites are high for all groups at every site (75-100%), but sample size dwindles at more distant detection sites.
-RELEASE states that in all cases I have insufficient data so I am not comfortable using this c-hat (~2.3).
-Bootstrapping yeilds a c-hat of ~2.0 when I use obs deviance/mean deviance from bootstrapping; however, I am not able to compare with the other method (obs c-hat/mean c-hat) because my model deviance degrees of freedom is 0, and thus my model c-hat is also 0.
-I can not use median c-hat since the observed model c-hat is 0.
From what I understand, the model is saturated b/c the deviance degrees of freedom is 0. This means that simple binomial probability takes over (# detected/#released). Is this because the detection rate is near 1 (which seems logical)?
Finally, do I correct for overdispersion using bootstrapped c-hat, or not, since as stated in Lebreton et al (1992): a saturated model has 0 degrees of freedom for goodness of fit.
Thanks and Happy New Year,
Erin