Created:
Nov 22, 2020 04:38 PM
| Last Modified: Jun 8, 2023 5:25 PM(2664 views)
I'm using JMP Pro 15 to run a generalized linear model with a Poisson distribution and log link function. I was told to use Poisson because I have count data with values ranging from a min of 1 to a max of 118 with most falling in the 5 to 50 range. The model shows 2 goodness of fit statistics (pearson, deviance) that both have p-values less than 0.05. Does this mean that the model results are invalid and I need to reanalyze using a different distribution? This blog below seems to indicate that the results of the deviance test alone are somewhat unreliable.
Thanks Mark. There were some over-dispersion issues, I believe, with the data. This morning I tried a negative binomial distribution and that fit seems much better.
I did not originally, but just tried it. The overdispersion value is 2.5197 (for Pearson). I've never used this option before so not sure how to interpret it.
The Poisson distribution uses a single parameter for the mean and the variance. As such, it might under-fit the data. The over-dispersion parameter allows for more variance than the mean.
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