Yes.

On Tue, 14 Jan 2003, Maarten Speekenbrink wrote:

> Dear R-users,
> 
> I have conducted an experiment with a 2*2*2 factorial within-subjects design. All 
>factors are binary and the dependent measure is a frequency of successes between 0 
>and 4. Treating this as a normally distributed variable, I would perform a 
>repeated-measures ANOVA as follows:
> 
> > aov(y ~ A*B*C + Error(subj/(A+B+C)))
> 
> but since the distribution of the dependent measure is clearly nonnormal, I would 
>like to fit an analoguous model which is appropriate and I believe this would be a 
>GLMM with a logit link and a random intercept for subjects. I have fitted this model 
>using 'glmmPQL' function in MASS as:
> 
> > glmmPQL(cbind(y,4-y) ~ A*B*C, random = ~ 1|subj, family=binomial(),data)
> 
> which seemed to do the trick. But I would like to present the results in an 
>ANOVA-type table so that they are easiliy interpretable for the readers. I know the 
>anova(glm, test="Chisq") function for fixed-effect GLM gives a ANOVA-type analysis in 
>terms of the sequential Chi-Square difference tests, but since the glmmPQL function 
>returns an object of the class lme, I wonder if the results of an anova(glmPQL) are 
>appropriate. From an earlier posting I gathered that anova and AIC are inappropriate 
>for model comparisons when the models are estimated by glmmPQL, since the estimation 
>is not maximum likelihood, but does this hold for the anova applied to a single model?
> 
> Kind regards,
> 
> Maarten Speekenbrink
> --------------------------------------------------------------------
>  drs. M. Speekenbrink
>  Psychological Methodology
>  Department of Psychology, Faculty of Social and Behavioral Sciences
>  address: Roeterstraat 15, 1018 WB Amsterdam, Netherlands
>  tel: +31 20 525 6876 / +31 20 525 6870
>  fax: +31 20 639 0026
> --------------------------------------------------------------------
> 
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-- 
Brian D. Ripley,                  [EMAIL PROTECTED]
Professor of Applied Statistics,  http://www.stats.ox.ac.uk/~ripley/
University of Oxford,             Tel:  +44 1865 272861 (self)
1 South Parks Road,                     +44 1865 272866 (PA)
Oxford OX1 3TG, UK                Fax:  +44 1865 272595

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