Have you posted on R-sig-mixed-models? That would be more likely to
yield useful responses than here.

-- Bert

On Tue, Aug 7, 2012 at 3:02 PM, Andrew Digby <andrewdi...@mac.com> wrote:
>
> Despite lots of investigation, I haven't found any R packages might be 
> suitable for the following problem. I'd be very grateful for suggestions.
>
> I have three-way nested data, with a series of measures (obs) taken in quick 
> succession (equal time spacing) from each subject on different days. The 
> measures taken on the same day are temporally correlated, so I'd like to use 
> an AR1 correlation structure for those, but treat subjects and days as nested 
> random factors (random intercept) since there is little temporal correlation 
> between days. The response is binary.
>
> So I need a GLMM with a correlation structure. I've tried using GEE, but the 
> R packages can't cope with multilevel nested data. The only R function I've 
> found that can do this is glmmPQL.
>
> m <- glmmPQL(y ~ f1 * f2 * f3 + (1|subj/day), correlation=corAR1(form 
> =~obsno|subj/day))
>
> f1 - f3 are fixed factors
>
> However, PQL estimation is not recommended for binary response data. With no 
> AIC and unreliable p values, model selection seems impossible! So my question 
> is:
>
> 1) are there any other functions which are suitable for a GLMM with 
> multilevel nested random effects and a AR1 correlation structure? Or is MCMC 
> the only option?
> 2) to make things more complicated, I'd also like to include a varFunc 
> variance structure to cope with heterogeneity. Is this possible in ML methods 
> in R? I'd also like to extend to a multinomial response at a later stage.
>
> GEE seems the best bet, but I come unstuck with the three-way nested factors.
>
> Thanks for your help.
>
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-- 

Bert Gunter
Genentech Nonclinical Biostatistics

Internal Contact Info:
Phone: 467-7374
Website:
http://pharmadevelopment.roche.com/index/pdb/pdb-functional-groups/pdb-biostatistics/pdb-ncb-home.htm

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