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# @title Calculate all pairwise distance based on branch lengths
#
# @param tree A phylo object or a matrix. The phylogenetic tree or a
# matrix of distance as provided by the user
#
# @param OTU A matrix object. The OTU table {n x nOTU}
#
#' @importFrom ape cophenetic.phylo
#' @importFrom stats sd
#
distanceMatrix <- function(tree, otunames) {
# {nTips x nTips}
if (is.null(x = tree)) {
Dmat <- diag(x = length(x = otunames))
rownames(x = Dmat) <- otunames
colnames(x = Dmat) <- otunames
} else if (is(object = tree, class2 = "phylo")) {
Dmat <- as.matrix(x = ape::cophenetic.phylo(x = tree))
} else {
Dmat <- tree
}
# the choice of sd for the full distance matrix is intentional
# it is believed that SD is fixed no matter if some OTUs are filtered
sd_dMatrix <- sd(x = Dmat)
# for the analysis, remove any distance provided for OTUs no in OTU table
# {nOTU x nOTU}
Dmat <- Dmat[otunames, otunames, drop = FALSE]
return( list("dMatrix" = Dmat,
"sd_dMatrix" = sd_dMatrix) )
}
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