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ICC for glmer Poisson

3 messages · Paul Johnson, dani

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Hello everyone,


I am looking for information regarding the calculation of the ICC for a Poisson Glmer model.

I remember seeing somewhere that the within group variance is considered to be 1 in the calculation of the ICC for Poisson, but I do not have a reference for that. I did some research online but I could not find much.

Any help would be very appreciated.


Also, is there a way to determine significance and CIs for variances? I was thinking that variance can be tested by comparing a Glm model (without random effects) and the Glmer model (with random effects) using anova(), but I have no idea how to calculate the CIs.


Thank you all!

MD
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Hi,

Have a look at 

Nakagawa, Shinichi, and Holger Schielzeth. 2010. ?Repeatability for Gaussian and Non-Gaussian Data: A Practical Guide for Biologists.? Biological Reviews of the Cambridge Philosophical Society 85 (4): 935?56. doi:10.1111/j.1469-185X.2010.00141.x.
dx.doi.org/10.1111/j.1469-185X.2010.00141.x

and the related rptR package:

Stoffel, M., Nakagawa, S. & Schielzeth, H. (2017) rptR: Repeatability estimation and variance decomposition by generalized linear mixed-effects models.. Methods Ecol Evol. Accepted Author Manuscript. doi:10.1111/2041-210X.12797

There are various ways to get CIs for variances, the easiest is applying confint() to a glmer fit (in fact I think this gives CIs for the SDs). For getting confidence (credible) intervals from variance estimates though I think MCMC (e.g. MCMCglmm) works best.
For testing random effects, see:
http://bbolker.github.io/mixedmodels-misc/glmmFAQ.html#testing-significance-of-random-effects

Good luck,
Paul
2 days later
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Thank you so much for these great suggestions!


MD