Colleagues,

I wish to alert you to a new paper, currently accepted at Methods in Ecology 
and Evolution, in which I describe a new measure for modularity; called the 
covariance ratio, or CR.  The accepted version of the paper may be found at: 
http://onlinelibrary.wiley.com/doi/10.1111/2041-210X.12511/abstract

In this paper I show some undesirable properties of the popular RV coefficient 
(some known and some previously unknown), and derive an alternative measure, 
the CR coefficient, which is insensitive to these same issues.  I show that the 
CR has higher statistical power relative to the RV for detecting patterns of 
modularity, and discuss why the RV should not be used when comparing modular or 
integrated signals across datasets.

R code for a base implementation of the CR test for modularity is found in the 
supplemental material. The method will also be included in the next update of 
geomorph.

Best to all,

Dean

Dr. Dean C. Adams
Professor
Department of Ecology, Evolution, and Organismal Biology
       Department of Statistics
Iowa State University
www.public.iastate.edu/~dcadams/<http://www.public.iastate.edu/~dcadams/>
phone: 515-294-3834

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