[Rd] anova.glm (PR#7624)

[Prof Brian Ripley]

A poisson family has dispersion 1 by definition of 'Poisson'.
You need a quasipoisson family to use a moment estimate of dispersion.

This difference is described on the help page for anova.glm.
Note the estimated dispersion *is* used and *is* one:

> summary(glm.D93)$dispersion
[1] 1

as it ought to be (and is in S-PLUS too).  That it is not used in S-PLUS 
is not documented (and it is not used in summary.glm either) and is at 
least an inconsistency.

Your assumption that R is wrong and S-PLUS (sic) is correct is not 
appreciated.  Why did you file this as an R bug and not an S-PLUS one?


On Wed, 2 Feb 2005 yuedong at pstat.ucsb.edu wrote:

> There may be a bug in the anova.glm function.

But not in the one in R!

> deathstar[32] R
>
> R : Copyright 2004, The R Foundation for Statistical Computing
> Version 2.0.1  (2004-11-15), ISBN 3-900051-07-0
>
> R is free software and comes with ABSOLUTELY NO WARRANTY.
> You are welcome to redistribute it under certain conditions.
> Type 'license()' or 'licence()' for distribution details.
>
> R is a collaborative project with many contributors.
> Type 'contributors()' for more information and
> 'citation()' on how to cite R or R packages in publications.
>
> Type 'demo()' for some demos, 'help()' for on-line help, or
> 'help.start()' for a HTML browser interface to help.
> Type 'q()' to quit R.
>
>> counts <- c(18,17,15,20,10,20,25,13,12)
>> outcome <- gl(3,1,9)
>> treatment <- gl(3,3)
>> glm.D93 <- glm(counts ~ outcome + treatment, family=poisson())
>> anova(glm.D93,test="Chisq")
> Analysis of Deviance Table
>
> Model: poisson, link: log
>
> Response: counts
>
> Terms added sequentially (first to last)
>
>
>           Df Deviance Resid. Df Resid. Dev P(>|Chi|)
> NULL                          8    10.5814
> outcome    2   5.4523         6     5.1291    0.0655
> treatment  2   0.0000         4     5.1291    1.0000
>
>> anova(glm.D93,test="F")
> Analysis of Deviance Table
>
> Model: poisson, link: log
>
> Response: counts
>
> Terms added sequentially (first to last)
>
>
>           Df Deviance Resid. Df Resid. Dev      F  Pr(>F)
> NULL                          8    10.5814
> outcome    2   5.4523         6     5.1291 2.7262 0.06547 .
> treatment  2   0.0000         4     5.1291 0.0000 1.00000
> ---
> Signif. codes:  0 `***' 0.001 `**' 0.01 `*' 0.05 `.' 0.1 ` ' 1
>
>
>
> ----------------------------------------------------------------------
> The F test should use the estimated dispersion parameter, so should be
> different from the Chisq test. The following is what I got from Splus:
>
> deathstar[31] Splus
> S-PLUS : Copyright (c) 1988, 2000 MathSoft, Inc.
> S : Copyright Lucent Technologies, Inc.
> Version 6.0 Release 1 for Linux 2.2.12 : 2000
> Working data will be in /data/home/faculty/yuedong/MySwork
>> counts <- c(18,17,15,20,10,20,25,13,12)
>> outcome <- factor(rep(1:3,3))
>> treatment <- factor(rep(1:3,c(3,3,3)))
>> glm.D93 <- glm(counts ~ outcome + treatment, family=poisson())
>> anova(glm.D93, test="Chisq")
> Analysis of Deviance Table
>
> Poisson model
>
> Response: counts
>
> Terms added sequentially (first to last)
>           Df  Deviance Resid. Df Resid. Dev   Pr(Chi)
>      NULL                      8   10.58145
>   outcome  2  5.452305         6    5.12914 0.0654707
> treatment  2  0.000000         4    5.12914 1.0000000
>> anova(glm.D93, test="F")
> Analysis of Deviance Table
>
> Poisson model
>
> Response: counts
>
> Terms added sequentially (first to last)
>           Df  Deviance Resid. Df Resid. Dev  F Value     Pr(F)
>      NULL                      8   10.58145
>   outcome  2  5.452305         6    5.12914 2.108359 0.2369863
> treatment  2  0.000000         4    5.12914 0.000000 1.0000000
>
>
> --------------------------------------------------------------------
> Yuedong Wang                                  Phone:  (805) 893-4870
> Dept of Statistics & Applied Probability        Fax:  (805) 893-2334
> Univ of California                            yuedong at pstat.ucsb.edu
> Santa Barbara, CA 93106    http://www.pstat.ucsb.edu/faculty/yuedong
>
> ______________________________________________
> R-devel at stat.math.ethz.ch mailing list
> https://stat.ethz.ch/mailman/listinfo/r-devel
>
>

-- 
Brian D. Ripley,                  ripley at 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