[R-sig-ME] deriv example for nlmer

[Manuel Morales]

How about:

grModel <- function(Age, site, Asym, xmid, K, Kdiff, middiff) {
  Asym/(1 + exp((xmid+middiff*site - Age)*(K+Kdiff*site)))
}

grModg <- deriv(body(grModel),
                namevec = c("Asym", "xmid", "K", "Kdiff", "middiff"),
                function.arg=grModel)

startsite <- c(Asym=9, xmid=3, K=.5, Kdiff=0, middiff=0)


nlmer(weight ~ grModg(Age,site,Asym,xmid,K,Kdiff,middiff) ~ (K|Nest_ID),
                      data=growth, start=startsite, verbose = TRUE)

On Tue, 2010-10-19 at 08:25 -0600, Helen Sofaer wrote:
> Hi Thierry,
> My main goal is to test for a difference between populations, which I
> can't do with SSlogis.
> Check out the code for my function to see the model I'm trying to run.
> 
> Thanks,
> Helen
> 
> 
> On Tue, 19 Oct 2010 10:09:33 +0200, "ONKELINX, Thierry"
> <Thierry.ONKELINX at inbo.be> wrote:
> > Dear Helen,
> > 
> > Won't it be easier to stick with Sslogis to run the model and then
> > convert scal to K for your report?
> > 
> > HTH,
> > 
> > Thierry
> > 
> > ------------------------------------------------------------------------
> > ----
> > ir. Thierry Onkelinx
> > Instituut voor natuur- en bosonderzoek
> > team Biometrie & Kwaliteitszorg
> > Gaverstraat 4
> > 9500 Geraardsbergen
> > Belgium
> > 
> > Research Institute for Nature and Forest
> > team Biometrics & Quality Assurance
> > Gaverstraat 4
> > 9500 Geraardsbergen
> > Belgium
> > 
> > tel. + 32 54/436 185
> > Thierry.Onkelinx at inbo.be
> > www.inbo.be
> > 
> > To call in the statistician after the experiment is done may be no more
> > than asking him to perform a post-mortem examination: he may be able to
> > say what the experiment died of.
> > ~ Sir Ronald Aylmer Fisher
> > 
> > The plural of anecdote is not data.
> > ~ Roger Brinner
> > 
> > The combination of some data and an aching desire for an answer does not
> > ensure that a reasonable answer can be extracted from a given body of
> > data.
> > ~ John Tukey
> >   
> > 
> >> -----Oorspronkelijk bericht-----
> >> Van: r-sig-mixed-models-bounces at r-project.org 
> >> [mailto:r-sig-mixed-models-bounces at r-project.org] Namens Helen Sofaer
> >> Verzonden: dinsdag 19 oktober 2010 4:07
> >> Aan: r-sig-mixed-models at r-project.org
> >> Onderwerp: [R-sig-ME] deriv example for nlmer
> >> 
> >> 
> >> Hello modelers,
> >> I am working on a growth rate analysis in lme4, where my goal 
> >> is to test for differences in growth rates between two 
> >> populations of birds while incorporating random effects for 
> >> nests (to deal with the lack of independence between 
> >> siblings) and for each nestling (to deal with repeated 
> >> measures of individuals). 
> >> 
> >> I'd like to build a model that is parameterized slightly 
> >> differently than the SSlogis self-starting model, where K = 
> >> 1/scal (this is simply due to convention in the bird world). 
> >> I can tweak the SSlogis code (given in the help file for 
> >> selfStart) and the model runs, but cannot test for 
> >> differences between populations. Since determining reasonable 
> >> starting values is not a problem, and I'd like to be able to 
> >> easily adjust the formula to incorporate additional 
> >> covariates, I would like to avoid using a self-starting function.
> >> 
> >> It is my understanding that nlmer requires a function, but 
> >> not necessarily a self-starting one. However, I can't find an 
> >> example of any code that does this. 
> >> 
> >> I can build a very simple function that allows for 
> >> differences between populations (referred to as site, which 
> >> is a 0 1 dummy variable) in both the inflection point (xmid) 
> >> and the growth rate (K). I'm trying to start with the 
> >> simplest reasonable model, so I didn't allow for differences 
> >> in the asymptote. This function works in nls:
> >> 
> >> logisKsite = function(Age, site, Asym, xmid, K, Kdiff, middiff){
> >> 	Asym/(1 + exp((xmid+middiff*site - Age)*(K+Kdiff*site)))
> >> 	}
> >> 
> >> startsite = c(Asym = 9, xmid = 3, K = .5, Kdiff=0, middiff=0) 
> >> nls_logisKsite = nls(weight ~ logisKsite(Age, site, Asym, 
> >> xmid, K, Kdiff, middiff), growth, start = startsite)
> >> 
> >> The nlmer model I am trying to run is (for simplicity, this 
> >> model includes only a random effect of nest, only on the K parameter):
> >> nlmer_logisKsite = nlmer(weight ~ logisKsite(Age, site, Asym, 
> >> xmid, K, Kdiff, middiff) ~ (K | Nest_ID), growth, start = 
> >> startsite, verbose = TRUE)
> >> 
> >> Running this model in nlmer produces the error: gradient 
> >> attribute of evaluated model must be a numeric matrix Dr. 
> >> Bates' posted lectures note that the model must provide 
> >> derivatives, via the deriv function. I haven't been 
> >> successful getting this to work, even in the model without 
> >> site effects.
> >> 
> >> If there is an example of how to run nlmer without a 
> >> self-start function, could someone please point me to it? 
> >> Advise on how to implement the deriv function would also be 
> >> very helpful. 
> >> 
> >> Thank you very much,
> >> 
> >> Helen
> >> 
> >> Helen Sofaer, PhD Candidate in Ecology, Colorado State University
> >> 
> >> _______________________________________________
> >> R-sig-mixed-models at r-project.org mailing list 
> >> https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models
> >>
> 

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