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## rtt.R (2015-07-16)
## Root a tree by root-to-tip regression
## Copyright (c) 2014-2015, Rosemary McCloskey, BC Centre for Excellence in HIV/AIDS
## This file is part of the R-package `ape'.
## See the file ../COPYING for licensing issues.
# helper functions extracted from summary.lm
r.squared <- function(x){
r <- x$residuals
f <- x$fitted.values
mss <- sum((f - mean(f))^2)
rss <- sum(r^2)
mss/(mss + rss)
}
sigmasq <- function(x){
r <- x$residuals
rss <- sum(r^2) / x$df.residual
}
rtt <- function (t, tip.dates, ncpu = 1, objective = "correlation",
opt.tol = .Machine$double.eps^0.25) {
if (objective == "correlation")
objective <- function(x, y){
# cor.test(y, x)$estimate
cor(y, x)
}
else if (objective == "rsquared")
objective <- function(x, y) {
# summary(lm(y ~ x))$r.squared
X[,2] <- x
r.squared(lm.fit(X, y))
}
else if (objective == "rms"){
objective <- function(x, y){
# -summary(lm(y ~ x))$sigma^2
X[,2] <- x
- sigmasq( lm.fit(X, y) )
}
}
else stop("objective must be one of \"correlation\", \"rsquared\", or \"rms\"")
ut <- unroot(t)
dist <- dist.nodes(ut)[, seq_len(Ntip(ut))] # allow multifurcations
X <- matrix(1, Ntip(ut), 2)
f <- function (x, parent, child) {
edge.dist <- x * dist[parent, ] + (1 - x) * dist[child,]
objective(tip.dates, edge.dist)
}
obj.edge <- if (ncpu > 1)
unlist(mclapply(1:nrow(ut$edge), function (e) {
opt.fun <- function (x) f(x, ut$edge[e,1], ut$edge[e,2])
optimize(opt.fun, c(0, 1), maximum = TRUE, tol = opt.tol)$objective
}, mc.cores=ncpu))
else apply(ut$edge, 1, function (e) {
opt.fun <- function (x) f(x, e[1], e[2])
optimize(opt.fun, c(0, 1), maximum = TRUE, tol = opt.tol)$objective
})
best.edge <- which.max(obj.edge)
best.edge.parent <- ut$edge[best.edge, 1]
best.edge.child <- ut$edge[best.edge, 2]
best.edge.length <- ut$edge.length[best.edge]
opt.fun <- function (x) f(x, best.edge.parent, best.edge.child)
best.pos <- optimize(opt.fun, c(0, 1), maximum = TRUE, tol = opt.tol)$maximum
new.root <- list(edge = matrix(c(2L, 1L), 1, 2), tip.label = "new.root",
edge.length = 1, Nnode = 1L, root.edge = 1)
class(new.root) <- "phylo"
ut <- bind.tree(ut, new.root, where = best.edge.child, position = best.pos *
best.edge.length)
ut <- collapse.singles(ut)
ut <- root(ut, "new.root")
drop.tip(ut, "new.root")
}
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