Dear Marguerite and everyone,

thank you very much for your considerate postings. I have reconsidered my 
analyses and excluded the zero values, because they indicate absence of the 
trait rather than are part of the continuum of values. Instead, I analyzed the 
data as a 1) discrete trait: presence/absence of trait, and 2) continuous 
trait, where trait present. In the absence of zeros, the continuous data 
log-transform to normality where sufficient variability exists.

Thank you again,

Nina


On 2012-04-25, at 9:13 PM, Marguerite Butler wrote:

> Hi Nina and everyone,
> 
> One thing to consider is that not all zero data are the same. Zeros under a 
> model of continuous trait evolution with a gaussian process as assumed under 
> Brownian motion and OU processes would occasionally cross zero, maybe go 
> negative, etc. For example if you were modeling something like the deviation 
> from average height. You may have a lot of individuals that are at zero 
> because they are all average, but their offspring will quickly move off zero 
> as some will be taller, some shorter than average. 
> 
> On the other hand, many of us measure traits which disappear, for example 
> scale counts on fish. Numbers of scale rows vary while there are scales, but 
> once they disappear, those lineages will be at zero, perhaps for a very long 
> time. In this case it is no longer behaving as a gaussian process with small 
> changes expected every time period. We usually think of these more as a 
> "threshold trait". Maybe there is some hormone or something else (a hidden 
> variable) underlying the determination of scales or no scales, and once it 
> goes below threshhold the scales disappear. The hidden variable may fit model 
> assumptions, but not the scale counts (what we can see and measure).  For 
> example, the scale counts can never go negative. With a value like height, it 
> also never goes negative, but usually we are far away from that zero boundary 
> so we can casually ignore that problem:). Or we can do a log-transform, or 
> something else that transforms the data onto a different scale.   Anyway, the!
  absorbing boundary zeros are, I think, an example of what Ted is talking 
about. 
> 
> So it depends on the nature of your data. On the other hand, for the other 
> variable, if there is just not much variation, but it's not stuck on any 
> particular value (doesn't appear to have any absorbing boundary), I think 
> that's less of a problem.
> 
> HTH,
> Marguerite 
> 
> 
> On Apr 25, 2012, at 7:17 AM, Theodore Garland Jr wrote:
> 
>> Read over the Blomberg et al. (2003) paper.
>> K is intended for continuous-valued traits and/or those evolving similar to 
>> Brownian motion.
>> You could report it if you wished, but I would add that caveat if you do.
>> 
>> The randomization test should be robust in any case.
>> 
>> Cheers,
>> Ted
>> 
>> 
>> From: Nina Hobbhahn [[email protected]]
>> Sent: Wednesday, April 25, 2012 9:19 AM
>> To: Theodore Garland Jr
>> Cc: Alejandro Gonzalez; Hunt, Gene; Enrico Rezende; [email protected]
>> Subject: Re: [R-sig-phylo] Normality requirement for assessment of lambda 
>> with  phylosig (phytools) and fitContinuous (geiger)
>> 
>> Thanks all for your helpful contributions! I will use phylosignal.
>> 
>> Ted, I'm not sure I understand your last comment, "when the data are not 
>> though of as continuous-valued and/or evolving similar to Brownian motion". 
>> What do you mean by that? Also, are you suggesting that I report the 
>> presence/absence of phylogenetic signal, but not the value of the K 
>> statistic?
>> 
>> Many thanks again,
>> 
>> Nina
>> 
>> 
>> On 2012-04-25, at 5:54 PM, Theodore Garland Jr wrote:
>> 
>>> However, calculating a K statistic is strange when the data are not thought 
>>> of as continuous-valued and/or evolving similar to Brownian motion.  The 
>>> randomization test is OK, however.
>>> 
>>> Cheers,
>>> Ted
>>> 


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