A slope from RMA will always be > than the corresponding OLS slope because
RMA = OLS/r, where r is the correlation coefficient.
And note that the RMA slope calculated this way is undefined if r = 0.

This is why you want to use measurement-error models.

Cheers,
Ted




On Tue, Jun 9, 2020 at 1:34 PM Ted Stankowich <theodore.stankow...@csulb.edu>
wrote:

> Thank you Liam and Ted!
> That worked. I've never named my data columns this way and when I call
> names(Data), it does give me the column names "Binomial", "Skull", and
> "Tusk". This method appears to pull out the vectors and use them outside of
> the original dataframe, is this a particular requirement/feature of
> phyl.RMA?
>
> Regarding RMA vs. other methods, this is a study of allometry of tusks and
> antlers. In our first submission of this project we got raked over the
> coals for only using OLS methods so we're doing both OLS and RMA this time
> around, but are struggling to interpret the slope discrepancies between the
> two methods (RMA always returns larger slopes). There is measurement error
> in our independent factor (Skull) since some of those data come from PCA
> estimates based on landmark measures in skulls that were broken/partial
> (full skull length wasn't possible). We'll definitely look at the paper Ted
> posted though. There appears to be some strong divergent methodological
> opinions among the allometry community though, so it's hard to know the
> best way to proceed!
>
> Thanks!
> -Ted
>
>
>
> -----Original Message-----
> From: Liam J. Revell [mailto:liam.rev...@umb.edu]
> Sent: Tuesday, June 9, 2020 1:07 PM
> To: Ted Stankowich <theodore.stankow...@csulb.edu>;
> r-sig-phylo@r-project.org
> Subject: Re: [R-sig-phylo] phyl.RMA error
>
> CAUTION: This email was sent from an external source. Use caution when
> replying, opening links or attachments.
>
>
> Hi Ted.
>
> It's a good bet that your input vectors, log(Skull) and log(Tusk), don't
> have names.
>
> In your case, if your data frame is called Data, you might first compute:
>
> ln.Skull<-setNames(log(Data$Skull),Data$Binomial)
> ln.Tusk<-setNames(log(Data$Tusk),Data$Binomial)
>
> and then run:
>
> Model<-phyl.RMA(ln.Skull,ln.Tusk,tree,h0=1.0)
> Model
> plot(Model) ## this is kind of cool.
>
> Note, that as pointed out in the documentation of the function: "some
> statistician think there is never a condition in which a reduced-major-axis
> regression should be used" (I believe this has even been discussed on this
> list); and "The statistical hypothesis testing is based on Clarke (1980;
> reviewed in McArdle 1988), which differs from some other implementations of
> non-phylogenetic major axis regression in R."
>
> All the best, Liam
>
> Liam J. Revell
> Associate Professor, University of Massachusetts Boston Profesor
> Asistente, Universidad Católica de la Ssma Concepción
> web: http://faculty.umb.edu/liam.revell/, http://www.phytools.org
>
> Academic Director UMass Boston Chile Abroad:
> https://www.umb.edu/academics/caps/international/biology_chile
>
> On 6/8/2020 4:18 PM, Ted Stankowich wrote:
> > [EXTERNAL SENDER]
> >
> > Hello,
> >
> > We're trying to run phylogenetically corrected reduced major axes
> regression analyses and have encountered an error we can't debug. We're
> using the function phyl.RMA in the package 'phytools'. Here is the code we
> are using and the error it returns.
> >
> >
> >
> >> Model <- phyl.RMA(log(Skull), log(Tusk), tree, h0=1.0)
> >
> > Error in if (sign(beta1) != sign(h0)) { :
> >
> >    missing value where TRUE/FALSE needed
> >
> > We can't seem to figure out which argument is missing, and we've tried
> including all of the T/F based arguments we think are possible. Our species
> dataset and nexus file are printed below.  Any advice would be greatly
> appreciated.
> >
> > We have the following dataset:
> > Binomial                 Skull  Tusk
> >     <chr>                    <dbl> <dbl>
> > 1 Tragulus_javanicus        93.7  14.6
> > 2 Tragulus_kanchil          99.7  13.9
> > 3 Tragulus_napu             98.1  11.1
> > 4 Tragulus_nigricans        99.8  13.2
> > 5 Moschiola_meminna        101.   14.6
> > 6 Moschus_berezovskii      134.   55.0
> > 7 Moschus_moschiferus      152.   52.9
> > 8 Muntiacus_muntjak        193.   26.4
> > 9 Muntiacus_reevesi        159.   23.4
> > 10 Muntiacus_truongsonensis 184.   27.7
> > 11 Muntiacus_vaginalis      203.   28.6
> > 12 Hydropotes_inermis       162.   48.5
> > 13 Hyemoschus_aquaticus     122.   20.1
> > 14 Elaphodus_cephalophus    186.   17.3
> >
> > And the following nexus tree:
> >
> > #NEXUS
> > [R-package APE, Mon Jun 08 12:20:01 2020]
> >
> > BEGIN TAXA;
> >                DIMENSIONS NTAX = 12;
> >                TAXLABELS
> >                               Tragulus_napu
> >                               Tragulus_kanchil
> >                               Tragulus_javanicus
> >                               Hyemoschus_aquaticus
> >                               Moschiola_meminna
> >                               Muntiacus_reevesi
> >                               Muntiacus_muntjak
> >                               Muntiacus_truongsonensis
> >                               Elaphodus_cephalophus
> >                               Hydropotes_inermis
> >                               Moschus_moschiferus
> >                               Moschus_berezovskii
> >                ;
> > END;
> > BEGIN TREES;
> >                TRANSLATE
> >                               1            Tragulus_napu,
> >                               2            Tragulus_kanchil,
> >                               3            Tragulus_javanicus,
> >                               4            Hyemoschus_aquaticus,
> >                               5            Moschiola_meminna,
> >                               6            Muntiacus_reevesi,
> >                               7            Muntiacus_muntjak,
> >                               8            Muntiacus_truongsonensis,
> >                               9            Elaphodus_cephalophus,
> >                               10          Hydropotes_inermis,
> >                               11          Moschus_moschiferus,
> >                               12          Moschus_berezovskii
> >                ;
> >                TREE * UNTITLED = [&R]
> > ((((1:5.540957781,(2:2.978817423,3:2.978817423):2.562139698):10.789111
> > 52,4:16.33006601):6.360692368,5:22.69076035):5.725388419,(((((6:1.6111
> > 49584,7:1.611149848):1.556474893,8:3.167624477):4.130280196,9:7.297904
> > 013):1.497063399,10:8.794967413):7.19682079,(11:2.539095678,12:2.53909
> > 6008):13.45269085):12.42436025);
> >
> >
> >
> > Dr. Ted Stankowich
> > Associate Professor
> > Department of Biological Sciences
> > California State University Long Beach Long Beach, CA 90840
> > theodore.stankow...@csulb.edu<mailto:theodore.stankow...@csulb.edu>
> > 562-985-4826
> > https://nam10.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.c
> > sulb.edu%2Fmammal-lab%2F&amp;data=02%7C01%7Cliam.revell%40umb.edu%7C5a
> > 74928c910446b96b1508d80caf5765%7Cb97188711ee94425953c1ace1373eb38%7C0%
> > 7C0%7C637273294515730787&amp;sdata=7FUGnuFJCdRHmPiVrWPPAu%2BLEyK6O%2B4
> > VyAKHz1n63qw%3D&amp;reserved=0
> > @CSULBMammalLab
> >
> >
> >
> > Dr. Ted Stankowich
> > Associate Professor
> > Department of Biological Sciences
> > California State University Long Beach Long Beach, CA 90840
> > theodore.stankow...@csulb.edu<mailto:theodore.stankow...@csulb.edu>
> > 562-985-4826
> > https://nam10.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.c
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> > VyAKHz1n63qw%3D&amp;reserved=0
> > @CSULBMammalLab
> >
> >
> >
> >
> >          [[alternative HTML version deleted]]
> >
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