[R-sig-ME] about graphical checking on glmm and contradiction between parsimony and AIC values

glenda mendieta glendamendieta at gmail.com
Thu Dec 15 15:20:01 CET 2011


sure,

Multimodel inference in ecology and evolution: challenges and solutions. 
by: C. E. Grueber, S. Nakagawa, R. J. Laws, I. G. Jamieson. Journal of 
evolutionary biology, Vol. 24, No. 4. (April 2011), pp. 699-711. 
doi:10.1111/j.1420-9101.2010.02210.x

enjoy
glenda

On 15/12/2011 12:06, Ricardo Solar wrote:
> Hello Glenda;
>
> Could you please send us the complete reference for this paper? Sounds 
> really interesting!
>
> Cheers, RSolar.
>
> On 15 December 2011 08:18, glenda mendieta <glendamendieta at gmail.com 
> <mailto:glendamendieta at gmail.com>> wrote:
>
>     Hello Fernando,
>     Thank you very much for the hint, I did read the paper you
>     indicated but
>     surprisingly to me they did not report estimated values
>     whatsoever, only
>     the AIC ratios.
>     So, I went on looking and found Grueber's review (2011). It is a nice
>     walk-through to mixed models, specially generalized models and model
>     selection. They mention the function in the second step, as the
>     easiest
>     way to generate a model set.
>
>     Thanks again,
>
>     Glenda
>
>
>     On 13/12/2011 18:22, Fernando Schmidt wrote:
>     >
>     > Dear Glenda,
>     >
>     > Recently, I ran a model selection using the dredge function in MuMin
>     > package, which ranks the models according with AIC, AICc. I used
>     this
>     > for count data using mixed effect models.
>     >
>     > This analyses follows the Information-theoretic approach (Burnham &
>     > Anderson 2002), which don’t have a significance value “p”
>     associated.
>     > However, based on “delta” between the models and model “weight” you
>     > could determine which model is the best approximated model for
>     your data.
>     >
>     > I am starting to use this approach and I am not so familiar with all
>     > the terms and concepts. Maybe the information-theoretic approach
>     could
>     > be useful for your aims.
>     >
>     > I attached some a paper that used it for count data. I hope this
>     could
>     > help you.
>     >
>     > All the best,
>     >
>     > Fernando
>     >
>     >
>     >
>     > 2011/12/13 glenda mendieta <glendamendieta at gmail.com
>     <mailto:glendamendieta at gmail.com>
>     > <mailto:glendamendieta at gmail.com <mailto:glendamendieta at gmail.com>>>
>     >
>     >     Dear list members,
>     >     I am running GLMMs with count data, Laplace approximation,
>     poisson
>     >     family, using glmer {lme4}, the last version of R and R
>     studio in
>     >     windows platform.
>     >     When fitting my final models, I run an anova to look at the
>     >     "significance" of a term inclusion (random effect term), of
>     >     course, this does not apply for random effects, but at least it
>     >     gives me differences in DFs and whether the models are
>     >     significantly different or not.
>     >     It basically tells me that the least parsimonious model is
>     the one
>     >     with the lowest AIC value. As you can see below the
>     difference in
>     >     AIC values is pretty big.
>     >
>     > > anova(g,gwi)
>     >     Data: db.e
>     >     Models:
>     >     gwi: abundance ~ census * avail.surface + (1 | tree) + (1 | spp)
>     >     g: abundance ~ census * avail.surface + (1 | tree) + (1 | spp) +
>     >     (1 | spp:tree)
>     >            Df     AIC     BIC   logLik Chisq Chi Df Pr(>Chisq)
>     >     gwi  12 22342.0 22442.9 -11159.0
>     >     g      13  9702.5  9811.8  -4838.3 12641      1 < 2.2e-16 ***
>     >
>     >     Then I run a qqplot on residuals vs. fitted values for each
>     model
>     >     and I can see that the more parsimonious model (*gwi*) is
>     the one
>     >     with the better fit (the points are pretty well alined across a
>     >     straight line); whereas in the other model (*g*) the points
>     are in
>     >     a curved line.
>     >     Would this be because random crossed effects should not be
>     >     included as an interaction term (like in the last model [g])
>     >     (Johnson & Omland, 2004)? or I am overfiting?
>     >
>     >     My intuition tells me I should go for the most parsimonious
>     model,
>     >     since the graphical checking works. But, I wonder if there any
>     >     advise you can give me to improve the fit of this model?.
>     There is
>     >     still a lot of variance unexplained there, the model with the
>     >     random effect interaction term "spp:tree" has a variance of
>     59.87
>     >     sd. 7.73, in comparison to the model with only tree and spp
>     (2.45
>     >     sd. 1.55 & 3.5 sd. 1.90).
>     >
>     >     Greetings and thanks in advance for your time,
>     >
>     >     Glenda Mendieta-Leiva
>     >     PhD candidate
>     >     University of Oldenburg
>     >
>     >     PS.  Johnson, J. B. and Omland, K. S. 2004. Model selection in
>     >     ecology and evolution. Trends Ecol. Evol. 19: 101-108.
>     >
>     >     _______________________________________________
>     > R-sig-mixed-models at r-project.org
>     <mailto:R-sig-mixed-models at r-project.org>
>     > <mailto:R-sig-mixed-models at r-project.org
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>     >
>     >
>     >
>     >
>     > --
>     > Fernando Augusto Schmidt
>     > Lab. de Ecologia de Comunidades
>     > PPG - Entomologia. Universidade Federal de Viçosa
>     > Viçosa, MG - Brazil 36570-000
>     > www.labecol.ufv.br <http://www.labecol.ufv.br>
>     <http://www.labecol.ufv.br/>
>     > +55 3182388810 <tel:%2B55%203182388810>
>     >
>
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>
>
>     _______________________________________________
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>
>
>
>
> -- 
> ==========================================
> Ricardo Ribeiro de Castro Solar (Curriculo Lattes 
> <http://lattes.cnpq.br/9924177207371692>)
> MSc. em Entomologia - Doutorando - PPG Entomologia
> Laboratório de Ecologia de Comunidades/Formigas 
> <http://www.labecol.ufv.br>
> (31) 3899-4018 - Contato Skype: rrsolar
> Universidade Federal de Viçosa - MG
> ==========================================




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