thanks for the answer!
yes, indeed, type and fragment should be factors but it was no artificial
data!

2011/6/14 Prof Brian Ripley <rip...@stats.ox.ac.uk>

> I presume you intended 'type' and 'fragment' to be factors (see below).
>  Such a model would fit exactly.  The additive model
>
>
>  model <- glm(y ~ fragment+type, binomial)
>>
>
> is only modestly over-dispersed, and shows that 'fragment' has zero effect.
>  Not 'a negligible effect', but no effect.  So something really odd is going
> on: is this an exercise with artificial data?
> Otherwise you need to explain the exact balance between the two 'fragments'
> (each fragment has exactly 1/4 success) and your assumption of independent
> binomial sampling cannot be true.
>
> Using a quasibinomial model does not change the deviance (see e.g.
> McCullagh and Nelder for the definitions, including of 'scaled deviance')),
> but it does change the standard errors.
>
>
> On Mon, 13 Jun 2011, Anna Mill wrote:
>
>  Dear all,
>>
>> I am new to R and my question may be trivial to you...
>> I am doing a GLM with binomial errors to compare proportions of species in
>> different categories of seed sizes (4 categories) between 2 sites.
>>
>
> You have types and fragments but no species and no sites.  At least 'sites'
> should be a factor, as should 'categories of seed sizes'.
>
>  In the model summary the residual deviance is much higher than the degree
>> of freedom (Residual deviance: 153.74  on 4  degrees of freedom) and even
>> after correcting for overdispersion by using a quasibinomial error
>> structure
>> instead of binomial the residual deviance does not change. Is this a data
>> problem and I cannot use this statistic or is it because I do something
>> wrong with R (see models attached)?
>>
>> Thanks a lot for your help!
>> Anna
>>
>>
>> first model with binomial error structure:
>>
>>  success<-c(14,43,44,1,13,28,56,8)
>>> failure<-c(88,59,58,101,92,77,49,97)
>>> "fragment"<-c(1,1,1,1,2,2,2,2)
>>> "type"<-c(1,2,3,4,1,2,3,4)
>>> y<-cbind(success,failure)
>>> model<-glm(y~fragment*type,binomial)
>>> summary(model)
>>>
>> Call:
>> glm(formula = y ~ fragment * type, family = binomial)
>>
>> Deviance Residuals:
>>     1        2        3        4        5        6        7        8
>> -4.0175   3.3716   4.5052  -6.0071  -2.8063   0.5449   6.0414  -5.0184
>>
>> Coefficients:
>>             Estimate Std. Error z value Pr(>|z|)
>> (Intercept)    0.04433    0.61072   0.073   0.9421
>> fragment      -0.65477    0.39001  -1.679   0.0932 .
>> type          -0.46664    0.23027  -2.027   0.0427 *
>> fragment:type  0.26636    0.14455   1.843   0.0654 .
>> ---
>> Signif. codes:  0 ?***? 0.001 ?**? 0.01 ?*? 0.05 ?.? 0.1 ? ? 1
>>
>> (Dispersion parameter for binomial family taken to be 1)
>>
>>   Null deviance: 157.96  on 7  degrees of freedom
>> Residual deviance: 153.74  on 4  degrees of freedom
>> AIC: 196.31
>>
>> Number of Fisher Scoring iterations: 5
>>
>> second model with quasibinomial error structure:
>>
>>> summary(model2)
>>>
>>
>> Call:
>> glm(formula = y ~ fragment * type, family = quasibinomial)
>>
>> Deviance Residuals:
>>     1        2        3        4        5        6        7        8
>> -4.0175   3.3716   4.5052  -6.0071  -2.8063   0.5449   6.0414  -5.0184
>>
>> Coefficients:
>>             Estimate Std. Error t value Pr(>|t|)
>> (Intercept)    0.04433    3.63550   0.012    0.991
>> fragment      -0.65477    2.32169  -0.282    0.792
>> type          -0.46664    1.37073  -0.340    0.751
>> fragment:type  0.26636    0.86048   0.310    0.772
>>
>> (Dispersion parameter for quasibinomial family taken to be 35.43628)
>>
>>   Null deviance: 157.96  on 7  degrees of freedom
>> Residual deviance: 153.74  on 4  degrees of freedom
>> AIC: NA
>>
>> Number of Fisher Scoring iterations: 5
>>
>>        [[alternative HTML version deleted]]
>>
>>
>>
> --
> Brian D. Ripley,                  rip...@stats.ox.ac.uk
> 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
>

        [[alternative HTML version deleted]]

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