It should also be remembered that there will often be multiple intersections of such density estimates.

I hope this is not being done in support of a data-driven discretization of two group comparisons. Such practices are to be eschewed (as they are even worse than obfuscation).

--
David Winsemius.


On Oct 8, 2009, at 10:01 AM, Rainer M Krug wrote:

On Thu, Oct 8, 2009 at 3:48 PM, Monica Pisica <pisican...@hotmail.com>wrote:



Hi,

I would like to find out the coordinates of the intersection points of 2 density curves. I did a search but i didn't get any significant results. I
really hope some of you have some ideas. here it is an example:

set.seed(123)
x1 <- rnorm(100, 1, 1)
x2 <- rnorm(100, 0, 1)
d1 <- density(x1)
d2 <- density(x2)

plot(d1, col = 2)
lines(d2, col = 4)


if you specify n, from ant to in density() and keep them the same, then the density estimates are done for the same x-coordinates. Therefore you can
compare d1$y with d2$y to deternine, where they intersect:

d2 <- density(x2, from=-3, to=5, n=2048)
d1 <- density(x1, from=-3, to=5, n=2048)
plot(d1, col = 2)
lines(d2, col = 4)
d1$y < d2$y
intersX <- d1$x[as.logical(abs(diff(d1$y < d2$y)))]
intersY <- d1$y[as.logical(abs(diff(d1$y < d2$y)))]
abline(v=inters)
abline(h=intersY)

Cheers,

Rainer


Now i would like to know the coordinates of the intersection point. I did some "trial and error" and i come up with these .... (that means i did several vertical and horizontal lines through the graph until visually i
"hit" the intersection point)

abline(v = 0.35, lty = 2)
abline(h = 0.34, lty = 2)

I really appreciate any hints you may have, thanks so much,

Monica
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--
Rainer M. Krug, PhD (Conservation Ecology, SUN), MSc (Conservation Biology,
UCT), Dipl. Phys. (Germany)

Centre of Excellence for Invasion Biology
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David Winsemius, MD
Heritage Laboratories
West Hartford, CT

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