Hello all,

I have been trying to get something to work in a number of different
packages and with a number of different approaches today that I couldn't
get to run in a believable way. Before I spend another day on this, I was
wondering what people think about the idea in general.

I have a dataset of disease prevalence across ~100 species. There are ~2000
individuals total across the dataset, with >4 individuals per species.
Prevalence per individual is coded as 0 or 1. I am interested in the
phylogenetic signal of disease prevalence across the species. One approach
that works is to simply calculate prevalence as the species-specific mean,
i.e. if 3 individuals of 6 for a species had the disease, the prevalence
would be 3/6 = 0.5. Then one can use these values with e.g. phylosig() (I
arcsin sqrt transformed these proportions here). Like the few other
published tests of phylogenetic signal in disease prevalence, there is
little signal here. I could leave it at that, because in general there are
very low detections in this dataset and it's probably not ideally suited to
address this question anyhow.

That aside however, because not all individuals of a given species always
have the disease, I wanted to incorporate "measurement error". So, based on
the calculation for SE for binary data from the site:
http://www.researchgate.net/post/Can_standard_deviation_and_standard_error_be_calculated_for_a_binary_variable,
I also calculated a species-specific SEs as the
sqrt(mean(prevalence)*((1-
mean(prevalence))/individuals)).

What do people think about this? It's hardly measurement error in the sense
we normally mean it. On the other hand, I think it would be neat if there
were some way to account for variation among individuals in prevalence, and
the influence this has on phylogenetic signal.

Cheers,
Eliot

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