Hi there, I’d like to use AIC to compare between models with different
error distributions (eg: Dick 2004, Sileshi 2004, Burnham and Anderson
2002), namely a normal, Poisson and negative binomial.  I realize there
are differing views whether this is valid or not from reading past R help
postings; however, for my purpose I think AIC is more appropriate rather
than something such as a Chi-sq or G-statistic as I don’t need to know
whether the fit is statistically significant or not, rather I want to know
which model is the best given my data.

The data I’m working on are counts per station (7 stations in total for
each model), and originally I used a simplistic glm model:

Model.p<-glm(count~station,poisson)
Model.n<-glm(count~station,gaussian)

And from the MASS package (v 7.2-30)

Model.nb<-glm.nb(count~station)

I then extracted the log-likelihood using “logLik(model)”, from which I
calculated AIC (by hand).  However, after reviewing more of the R help
postings and associated help pages for the functions, I have the following
questions:

1- the “glm” function doesn’t use MLE to fit the model, so is the
associated “logLik” extracted valid?

2- If it is valid, does it calculate the full likelihood, or are the
constants dropped? (this is not clear in the ?glm or ?loglik files)

3- if neither are valid, are there alternatives? For example, I’ve seen
that the MASS package also has a “fit.distr” function with an associated
“logLik” method, but can I use the log-likelihood extracted using this
method to calculate AIC and compare between distributions (in the manner
that I want using the “glm” function)?  if so, are the log-likelihood
given complete or have the constants been dropped?

Any help and suggestions would be appreciated!


Kelly Young
[EMAIL PROTECTED]
M.Sc Candidate, Dept. Biology
Fisheries Oceanography Research Lab
University of Victoria
.·.><((((°>

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