Test single modularity hypothesis using Mantel correlation
Calculates the correlation and Mantel significance test between a hypothetical binary modularity matrix and a correlation matrix. Also gives mean correlation within- and between-modules. This function is usually only called by TestModularity.
MantelModTest(cor.hypothesis, cor.matrix, ...) ## Default S3 method: MantelModTest( cor.hypothesis, cor.matrix, permutations = 1000, MHI = FALSE, ..., landmark.dim = NULL, withinLandmark = FALSE ) ## S3 method for class 'list' MantelModTest( cor.hypothesis, cor.matrix, permutations = 1000, MHI = FALSE, landmark.dim = NULL, withinLandmark = FALSE, ..., parallel = FALSE )
cor.hypothesis |
Hypothetical correlation matrix, with 1s within-modules and 0s between modules. |
cor.matrix |
Observed empirical correlation matrix. |
... |
aditional arguments passed to MantelCor |
permutations |
Number of permutations used in significance calculation. |
MHI |
Indicates if Modularity Hypothesis Indexshould be calculated instead of AVG Ratio. |
landmark.dim |
Used if permutations should be performed mantaining landmark structure in geometric morphomotric data. Either 2 for 2d data or 3 for 3d data. Default is NULL for non geometric morphomotric data. |
withinLandmark |
Logical. If TRUE within-landmark correlation are used in calculation of correlation. Only used if landmark.dim is passed, default is FALSE. |
parallel |
if TRUE computations are done in parallel. Some foreach backend must be registered, like doParallel or doMC. |
CalcAVG can be used when a significance test is not required.
Returns a vector with the matrix correlation, significance via Mantel, within- and between module correlation.
Diogo Melo, Guilherme Garcia
Porto, Arthur, Felipe B. Oliveira, Leila T. Shirai, Valderes Conto, and Gabriel Marroig. 2009. "The Evolution of Modularity in the Mammalian Skull I: Morphological Integration Patterns and Magnitudes." Evolutionary Biology 36 (1): 118-35. doi:10.1007/s11692-008-9038-3.
Modularity and Morphometrics: Error Rates in Hypothesis Testing Guilherme Garcia, Felipe Bandoni de Oliveira, Gabriel Marroig bioRxiv 030874; doi: http://dx.doi.org/10.1101/030874
# Create a single modularity hypothesis: hypot = rep(c(1, 0), each = 6) cor.hypot = CreateHypotMatrix(hypot) # First with an unstructured matrix: un.cor = RandomMatrix(12) MantelModTest(cor.hypot, un.cor) # Now with a modular matrix: hypot.mask = matrix(as.logical(cor.hypot), 12, 12) mod.cor = matrix(NA, 12, 12) mod.cor[ hypot.mask] = runif(length(mod.cor[ hypot.mask]), 0.8, 0.9) # within-modules mod.cor[!hypot.mask] = runif(length(mod.cor[!hypot.mask]), 0.3, 0.4) # between-modules diag(mod.cor) = 1 mod.cor = (mod.cor + t(mod.cor))/2 # correlation matrices should be symmetric MantelModTest(cor.hypot, mod.cor)
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