Dear list, I am using glm's to predict count data for a fish species inside and outside a marine reserve for three different methods of monitoring. I run glms and figured out the best model using step function for each methods used. I predicted two values for my fish counts inside and outside the reserve using means of each of the covariates (using predict() ) therefore I have only one value for each protection effect (inside/outside), considered as my mean count.
I used either poisson distribution or negative binomial for the models as for each techniques, the distribution of the counts for a same species can be quiet different. I now need to get a confidence interval for my predicted count and I want to compute the coefficient of variation. It looks like the function pois.ci() (package NCstats) gives a confidence interval for a single given value or bspln() and bsnb() ("degreenet") gives also CI but using bootstrap. I therefore need a vector of counts using those latest function, which I don't have since I have only one predicted values from my Glms. My questions are the following: - can I use easily pois.ci to get my confidence interval using my predicted mean? but It looks like the similar function doesn't exist for the negative binomial distribution? - in order to use the bspln and the bsnb function, can I use the covariates values used to get the parameters of my model to create a "predicted vector" and then be able to apply those functions on this vector? I am also not sure about the meaning of the outputs of these two functions. Which outputs give the CI??? About the coefficient of variation, is it equal to the standard deviation/ mean for all the distributions??? Can I say that for a poisson distribution, it is therefore equal to 1/sqrt(mean) and for a negative binomial distribution, variance = mean + mean^2/theta (theta the canonical parameter given in glm.nb summary). I can then calculate my St. Dev and then CV? I really appreciate your help. Regards, -- Stéphanie D'agata [[alternative HTML version deleted]]
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