Dan, All-

If I understand correctly, that's a separate issue than what Ted is
getting at; I think he's worried about the effect of data dredging by
running all possible models (as Burnham and Anderson warn against) and
not mis-parametrization of the simple model. Data-dredging will bias
us toward finding complex models that fit overly well. The common
solution in data mining is to subset your data and thus confirm a
preferred model for one subset by testing the preference in another
subset, but I don't think that can be applied to studies with a single
tree.

-Dave

On Tue, Mar 22, 2011 at 12:37 PM, Dan Rabosky <drabo...@berkeley.edu> wrote:
>
> Hi Ted-
>
> Others can weigh in here, but - at the very least - I would consider a model 
> with 2 rates as having at least 1 additional parameter (the location of the 
> rate shift). This seems to perform OK in practice. I admit that I have always 
> been a bit uncomfortable with this, though - the null hypothesis model does 
> not have a shift point. I think there are parallels here to finding 
> breakpoints in segmented regression models. Here's a paper I've been meaning 
> to read that might be relevant.
>
> Davies, R.B. (1987) Hypothesis testing when a nuisance parameter is present 
> only under the alternative. Biometrika 74, 33–43.
>
> ~Dan
>
>
>
>
>
>
>
> On Mar 22, 2011, at 10:19 AM, <tgarl...@ucr.edu> <tgarl...@ucr.edu> wrote:
>
>>> This can also be done using the package "diversitree", with the
>>> function make.bd.split and variants thereof. You will probably
>>> have to write a function to iteratively partition the tree
>>> into all possible splits.
>>
>> Hi Dan,
>>
>> How would this approach deal with the problem of multiple comparisons, i.e., 
>> in effect testing many different hypotheses (or exploratory data mining) on 
>> the same data set and overall tree?
>>
>> Cheers,
>> Ted
>>
>>
>> Theodore Garland, Jr.
>> Professor
>> Department of Biology
>> University of California, Riverside
>> Riverside, CA 92521
>> Office Phone:  (951) 827-3524
>> Wet Lab Phone:  (951) 827-5724
>> Dry Lab Phone:  (951) 827-4026
>> Home Phone:  (951) 328-0820
>> Facsimile:  (951) 827-4286 = Dept. office (not confidential)
>> Email:  tgarl...@ucr.edu
>>
>> Main Departmental page:
>> http://www.biology.ucr.edu/people/faculty/Garland.html
>>
>> List of all Publications:
>> http://www.biology.ucr.edu/people/faculty/Garland/GarlandPublications.html
>>
>> Garland and Rose, 2009
>> http://www.ucpress.edu/books/pages/10604.php
>>
>>
>>  ---- Original message ----
>>
>>    Date: Tue, 22 Mar 2011 09:44:26 -0700
>>    From: Dan Rabosky <drabo...@berkeley.edu>
>>    Subject: Re: [R-sig-phylo] Q: Likelihood ratio test and rate shift
>>    test on complete dated phylogeny
>>    To: "R.J. den Tex" <rjden...@yahoo.com>
>>    Cc: r-sig-phylo@r-project.org
>>
>>>
>>> Hi Robert-
>>>
>>>> (i) Can you use a Likelihood ratio test to test whether a birth
>>    death model fits your data better than a pure birth model?
>>    (likelihood scores are obtained from LASER).
>>>
>>> Yes, this would be valid, as the models are nested.
>>>
>>>> (ii) How can I test if a rate shift has occurred on a particular
>>    node/branch in a complete taxon phylogeny?
>>>
>>> There are lots of possible methods for this. Or perhaps it is
>>    better to say that there are lots of variants of a single general
>>    approach. There are the 1-rate versus 2-rate model in LASER
>>    (fitNDR_2rate, fitNDR_1rate) after Rabosky et al. (Proc. R. Soc. B,
>>    2007); there is the MEDUSA approach, which would allow more than 1
>>    rate shift across your tree (Alfaro et al., PNAS; this method is
>>    implemented in GEIGER).
>>>
>>> This can also be done using the package "diversitree", with the
>>    function make.bd.split and variants thereof. You will probably have
>>    to write a function to iteratively partition the tree into all
>>    possible splits. Actually, I think the diversitree calculations
>>    *may* be the most accurate if you have different extinction rates
>>    across the tree.
>>>
>>> There is also the method from Moore and Donoghue (2009, PNAS) - i
>>    think tRate is the name of the package - although I don't think this
>>    is distributed on the archive for R packages.
>>>
>>> ~Dan Rabosky
>>>
>>>
>>>
>>>> Thank you very much beforehand!
>>>>
>>>> Robert den Tex
>>>> PhD student
>>>> Dept. Evolutionary Biology
>>>> EBC, Uppsala University
>>>> Uppsala,
>>>> Sweden
>>>>
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>>>
>>>
>>>
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-- 
David Bapst
Dept of Geophysical Sciences
University of Chicago
5734 S. Ellis
Chicago, IL 60637
http://home.uchicago.edu/~dwbapst/

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