In this case, following your instructions and a bit of noodling with the example "solves" the problem with:

persp(teta1, teta2, matrixMuSigma) -> res
points(trans3d( teta1, sigmaMax, apply(matrixMuSigma, 1, max), pmat=res), col="red")

--
David Winsemius

On Feb 10, 2009, at 11:50 AM, Uwe Ligges wrote:

See ?persp, particularly the example that starts with
# (2) Add to existing persp plot - using trans3d() :

Uwe Ligges


Domenico Vistocco wrote:
Dear All,
is there a way to superimpose points and/or lines on a surface plot?
Below I try to explain my problem.
Suppose I have the following surface plot (likelikood for the normal variable when both parameters are unknown): ------------------------------------------------------------------------------------------------------------------------------------------- normalLike <- function(mu, sigma, sample){ (sigma ^ - length(sample)) * exp(-0.5 * (sigma ^ -2) * sum((sample - mu)^2))
}
normalLikeVec <- Vectorize(normalLike, vectorize.args = c("mu","sigma"))
teta1 <- seq(0, 6, by=0.1)
teta2 <- seq(0.1, 8, by=0.1)
matrixMuSigma <- outer(teta1, teta2, normalLikeVec, sample=c(0.88, 1.07, 1.27,1.54, 1.91, 2.27, 3.84, 4.50, 4.64, 9.41))
matrixMuSigma <- matrixMuSigma / max(matrixMuSigma)
persp(teta1, teta2, matrixMuSigma)
------------------------------------------------------------------------------------------------------------------------------------------- Then I would like to superimpose on the same plot points (or a line) corresponding to the following data: ------------------------------------------------------------------------------------------------------------------------------------------- #x coordinates
teta1
#y coordinates
sigmaMax <- teta2[apply(matrixMuSigma, 1, which.max)]
#z coordinates
apply(matrixMuSigma, 1, max)
------------------------------------------------------------------------------------------------------------------------------------------- Thanks in advance,
domenico
PS:
I am trying to explain the geometrical interpretation of profile likelihood. Any better idea?
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