Hi Manabu,
yes it's true. In fact it depends what you are looking for. It was mainly for 
warning people trying to size-standardize their data because some expect then 
to work without size related differences.Using the residuals is somewhat a 
different approach
cheers,
Julien
> Date: Fri, 19 Jun 2015 15:19:59 +0100
> From: manabu.sakam...@gmail.com
> To: sclaramunt...@gmail.com
> CC: r-sig-phylo@r-project.org
> Subject: Re: [R-sig-phylo] Non Parametric PGLS
> 
> Mosimann's method should remove isometric scaling, so the resulting values
> will retain allometric information. I guess if you regard allometric shape
> difference as an undesired feature of your data, then you can call it
> biased. But if you wan to investigate allometry without the effect of size,
> then that's really what you want, isn't it?
> cheers,
> Manabu
> 
> On 19 June 2015 at 14:57, Santiago Claramunt <sclaramunt...@gmail.com>
> wrote:
> 
> > Hi Julien,
> >
> > Mosimann’s method was proposed for the study of allometry, so it would be
> > strange if it only applies to isometric cases. Can you provide further
> > details or suggest readings?
> >
> > Cheers,
> >
> > Santiago
> >
> > On Jun 18, 2015, at 7:06 PM, Julien Clavel <julien.cla...@hotmail.fr>
> > wrote:
> >
> > > Hi Sergio,
> > >
> > > Just to precise that you have to keep in mind that Mosimann ratio (if
> > you are speaking about the Mosimann shape ratio, e.g. with the geometric
> > mean) applies only when there is an isometric relationship (as for most
> > analysis based on ratio). You should check first, otherwise the resulting
> > standardized values will be biased. Although the residuals solution is
> > probably not the best, there is no magic solution to size standardization...
> > > By the way remember that on log spaces isometry is represented by a
> > slope of 1, and on arithmetic scales by an intercept of zero. The resulting
> > bias in the ratio are thus different.
> > >
> > > Best,
> > >
> > > Julien
> > >
> > > > From: sclaramunt...@gmail.com
> > > > Date: Thu, 18 Jun 2015 12:52:11 -0500
> > > > To: r-sig-phylo@r-project.org
> > > > Subject: Re: [R-sig-phylo] Non Parametric PGLS
> > > >
> > > > Hi Sergio,
> > > > If what you want to do is to partition your morphometric data into
> > size and shape components, then you can use Mosimann’s methods which do not
> > require regressions or phylogenetic corrections.
> > > >
> > > > Mosimann, J. E. 1970. Size allometry: size and shape variables with
> > charac- terization of the lognormal and generalized gamma distributions. J.
> > Am. Stat. Assoc. 65:930–945.
> > > > Mosimann, J. E., and F. C. James. 1979. New statistical methods for
> > allometry with application to Florida red-winged blackbirds. Evolution
> > 33:444– 459.
> > > >
> > > > here is how I used them:
> > > >
> > > > Claramunt, S. (2010). Discovering exceptional diversifications at
> > continental scales: the case of the endemic families of Neotropical
> > suboscine passerines. Evolution, 64(7), 2004-2019.
> > > >
> > > > Cheers,
> > > >
> > > > Santiago
> > > >
> > > >
> > > > On Jun 18, 2015, at 11:55 AM, Sergio Ferreira Cardoso <
> > sff.card...@campus.fct.unl.pt> wrote:
> > > >
> > > > > Hi Liam,
> > > > >
> > > > > Again, thank you for the answer. Yes, I'm aware that they are
> > > > > phylogenetically correlated and that they need to be subsequently
> > analysed
> > > > > with methods such as PGLS. In fact, when I apply a normality test to
> > (
> > > > > chol(solve(vcv(tree)))%*%residuals(fit))the "transformed residuals"
> > are
> > > > > normally distributed. But I understand that the residuals I need to
> > use as
> > > > > size-corrected traits are the ones without the transformation (that,
> > in my
> > > > > case, aren't normal, and that's why I was a bit worried).
> > > > > Thanks a lot for the help.
> > > > >
> > > > > Cheers,
> > > > > Sérgio.
> > > > >
> > > > > 2015-06-18 15:54 GMT+01:00 Liam J. Revell <liam.rev...@umb.edu>:
> > > > >
> > > > >> Hi Sérgio.
> > > > >>
> > > > >> What Simon (& I, in my blog post) suggested is that to test the
> > 'normality
> > > > >> assumption' you need to first transform the residuals with the
> > inverse
> > > > >> Cholesky decomposite matrix. This will give you a vector in which
> > the
> > > > >> values should be normal & independent (assuming that the correlation
> > > > >> structure of the residuals is properly given by the tree). However
> > these
> > > > >> values are no longer associated with species(!) so they cannot be
> > used in
> > > > >> subsequent among-species analyses. So, basically, yes - you should
> > use the
> > > > >> residuals before transformation in cross-species analyses (for
> > instance, as
> > > > >> 'size corrected' trait values); however you need to remember that
> > they are
> > > > >> still phylogenetically correlated. I hope that's clear enough.
> > > > >>
> > > > >> All the best, Liam
> > > > >>
> > > > >> Liam J. Revell, Assistant Professor of Biology
> > > > >> University of Massachusetts Boston
> > > > >> web: http://faculty.umb.edu/liam.revell/
> > > > >> email: liam.rev...@umb.edu
> > > > >> blog: http://blog.phytools.org
> > > > >>
> > > > >> On 6/18/2015 6:16 AM, Sergio Ferreira Cardoso wrote:
> > > > >>
> > > > >>> Hello again,
> > > > >>>
> > > > >>> Thanks for your help. This kind of solved my problem. I normally
> > use
> > > > >>> some kind of test (shapiro or komolgorov) to test for normality. I
> > know
> > > > >>> histograms or qqnorm plots a more helpful, but they are more
> > > > >>> "vulnerable" to each others interpretation.
> > > > >>> So, just to make clear one thing: these kind of analysis of the
> > residual
> > > > >>> error
> > > > >>> (
> > > > >>>
> > http://blog.phytools.org/2013/02/a-comment-on-distribution-of-residuals.html
> > > > >>> )
> > > > >>> has nothing to do with phylogenetic residuals taken from a
> > regression
> > > > >>> (in order to obtain relative values - size-correction as in
> > Revell, L.
> > > > >>> J. (2009). Size‐correction and principal components for
> > interspecific
> > > > >>> comparative studies. Evolution, 63(12), 3258-3268.). So even if
> > > > >>> residuals from a PGLS aren't normal, this means I can still use
> > them as
> > > > >>> size-corrected values for a certain trait, correct?
> > > > >>> Once again, thank you very much for your advices.
> > > > >>>
> > > > >>> Best regards,
> > > > >>> Sérgio.
> > > > >>>
> > > > >>> 2015-06-18 4:56 GMT+01:00 Simon Blomberg <s.blombe...@uq.edu.au
> > > > >>> <mailto:s.blombe...@uq.edu.au>>:
> > > > >>>
> > > > >>>
> > > > >>> Hi Sérgio.
> > > > >>>
> > > > >>> Liam is right. But we do expect the normalised residuals to be
> > > > >>> approximately Normal. You can calculate the normalised residuals by
> > > > >>> pre-multiplying the raw residuals by the inverse of the Cholesky
> > > > >>> decomposition of the phylogenetic variance-covariance matrix, and
> > > > >>> then dividing by the estimate of the residual standard deviation
> > (ie
> > > > >>> sigma). You may have to plug in a value for any parameters that are
> > > > >>> co-estimated along with the regression (Pagel's lambda, etc.). If
> > > > >>> you use the gls function in the nlme package to fit your model,
> > then
> > > > >>> it's all easy:
> > > > >>>
> > > > >>> fit <- gls(response~explanatory, correlation=corPagel(1,
> > > > >>> phy=my.tree), data=dat))
> > > > >>> res <- residuals(fit, type="normalized")
> > > > >>>
> > > > >>> Then you can do some test for normality on those (I don't
> > ordinarily
> > > > >>> recommend such things, although
> > > > >>> SnowsPenultimateNormalityTest in the TeachingDemos package is the
> > > > >>> best I have seen). More usefully, you can do a normal
> > > > >>> quantile-quantile plot to graphically see whether your normalised
> > > > >>> residuals are normal enough:
> > > > >>>
> > > > >>> qqnorm(fit, form=~residuals(., type="n"), abline=c(0,1))
> > > > >>>
> > > > >>> See page 239 in Pinheiro and Bates (2000) Mixed-effects models in S
> > > > >>> and S-PLUS.
> > > > >>>
> > > > >>> Cheers,
> > > > >>>
> > > > >>> Simon.
> > > > >>>
> > > > >>>
> > > > >>> On 18/06/15 03:09, Liam J. Revell wrote:
> > > > >>>
> > > > >>> Hi Sérgio.
> > > > >>>
> > > > >>> It might be worth pointing out that we do not expect that the
> > > > >>> residuals from a phylogenetic regression to be normal. I
> > > > >>> described this with respect to the phylogenetic ANOVA on my blog
> > > > >>> (
> > > > >>>
> > http://blog.phytools.org/2013/02/a-comment-on-distribution-of-residuals.html
> > > > >>> ),
> > > > >>> but this applies equally to phylogenetic regression.
> > > > >>>
> > > > >>> All the best, Liam
> > > > >>>
> > > > >>> Liam J. Revell, Assistant Professor of Biology
> > > > >>> University of Massachusetts Boston
> > > > >>> web: http://faculty.umb.edu/liam.revell/
> > > > >>> email: liam.rev...@umb.edu <mailto:liam.rev...@umb.edu>
> > > > >>> blog: http://blog.phytools.org
> > > > >>>
> > > > >>> On 6/17/2015 12:40 PM, Sergio Ferreira Cardoso wrote:
> > > > >>>
> > > > >>> Hello all,
> > > > >>>
> > > > >>> I'm having a problem with a Multiple Regression PGLS
> > > > >>> analysis that I'm
> > > > >>> performing. The residuals are not normal and it's difficult
> > > > >>> to bring them
> > > > >>> to normality. In these cases, are there any alternatives to
> > > > >>> the linear
> > > > >>> model? I know that for non-phylogenetic analyses other
> > > > >>> models exist, but is
> > > > >>> there any alternative method for phylogenetic analysis?
> > > > >>> Thanks in advance.
> > > > >>>
> > > > >>> Best regards,
> > > > >>> Sérgio.
> > > > >>>
> > > > >>>
> > > > >>>
> > > > >>> _______________________________________________
> > > > >>> R-sig-phylo mailing list - R-sig-phylo@r-project.org
> > > > >>> <mailto:R-sig-phylo@r-project.org>
> > > > >>> https://stat.ethz.ch/mailman/listinfo/r-sig-phylo
> > > > >>> Searchable archive at
> > > > >>> http://www.mail-archive.com/r-sig-phylo@r-project.org/
> > > > >>>
> > > > >>>
> > > > >>> --
> > > > >>> Simon Blomberg, BSc (Hons), PhD, MAppStat, AStat.
> > > > >>> Senior Lecturer and Consultant Statistician
> > > > >>> School of Biological Sciences
> > > > >>> The University of Queensland
> > > > >>> St. Lucia Queensland 4072
> > > > >>> Australia
> > > > >>> T: +61 7 3365 2506 <tel:%2B61%207%203365%202506>
> > > > >>> email: S.Blomberg1_at_uq.edu.au <http://S.Blomberg1_at_uq.edu.au>
> > > > >>> http://www.evolutionarystatistics.org
> > > > >>>
> > > > >>> Policies:
> > > > >>> 1. I will NOT analyse your data for you.
> > > > >>> 2. Your deadline is your problem.
> > > > >>>
> > > > >>> Basically, I'm not interested in doing research
> > > > >>> and I never have been. I'm interested in
> > > > >>> understanding, which is quite a different thing.
> > > > >>> - David Blackwell
> > > > >>>
> > > > >>>
> > > > >>> _______________________________________________
> > > > >>> R-sig-phylo mailing list - R-sig-phylo@r-project.org
> > > > >>> <mailto:R-sig-phylo@r-project.org>
> > > > >>> https://stat.ethz.ch/mailman/listinfo/r-sig-phylo
> > > > >>> Searchable archive at
> > > > >>> http://www.mail-archive.com/r-sig-phylo@r-project.org/
> > > > >>>
> > > > >>>
> > > > >>>
> > > > >>>
> > > > >>> --
> > > > >>> Com os melhores cumprimentos,
> > > > >>> Sérgio Ferreira Cardoso.
> > > > >>>
> > > > >>> --------------------
> > > > >>>
> > > > >>> Best regards,
> > > > >>> Sérgio Ferreira Cardoso
> > > > >>>
> > > > >>>
> > > > >>>
> > > > >>>
> > > > >>> MSc. Paleontology candidate
> > > > >>> Departamento de Ciências da Terra - FCT /Universidade Nova de
> > Lisboa
> > > > >>> Geociências - Universidade de Évora
> > > > >>>
> > > > >>> Lisboa, Portugal
> > > > >>>
> > > > >>
> > > > >
> > > > >
> > > > > --
> > > > > Com os melhores cumprimentos,
> > > > > Sérgio Ferreira Cardoso.
> > > > >
> > > > > --------------------
> > > > >
> > > > > Best regards,
> > > > > Sérgio Ferreira Cardoso
> > > > >
> > > > >
> > > > >
> > > > >
> > > > > MSc. Paleontology candidate
> > > > > Departamento de Ciências da Terra - FCT /Universidade Nova de Lisboa
> > > > > Geociências - Universidade de Évora
> > > > >
> > > > > Lisboa, Portugal
> > > > >
> > > > > [[alternative HTML version deleted]]
> > > > >
> > > > > _______________________________________________
> > > > > R-sig-phylo mailing list - R-sig-phylo@r-project.org
> > > > > https://stat.ethz.ch/mailman/listinfo/r-sig-phylo
> > > > > Searchable archive at
> > http://www.mail-archive.com/r-sig-phylo@r-project.org/
> > > >
> > > > _______________________________________________
> > > > R-sig-phylo mailing list - R-sig-phylo@r-project.org
> > > > https://stat.ethz.ch/mailman/listinfo/r-sig-phylo
> > > > Searchable archive at
> > http://www.mail-archive.com/r-sig-phylo@r-project.org/
> >
> >
> >         [[alternative HTML version deleted]]
> >
> > _______________________________________________
> > R-sig-phylo mailing list - R-sig-phylo@r-project.org
> > https://stat.ethz.ch/mailman/listinfo/r-sig-phylo
> > Searchable archive at
> > http://www.mail-archive.com/r-sig-phylo@r-project.org/
> >
> 
> 
> 
> -- 
> Manabu Sakamoto, PhD
> manabu.sakam...@gmail.com
> 
>       [[alternative HTML version deleted]]
> 
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