I got a request from a reputable source (who nonetheless did not copy the list, a fact that I only noticed after responding) to post a full worked example:

I just tested the bits that I had earlier posted and they seem to fit together. The OP was asking for some sort of density conditional on a dependent variable which does not really fit with what locfit's author used as terminology.

TC.ran <- exp(rnorm(400,1.5,.3))
HDL.ran <- exp(rnorm(400,.4,.3) )

#This is the kde2d version:
require(MASS)
f1<-kde2d(HDL.ran,TC.ran,n=25,lims=c(0,4,2,10))

contour(f1$x,f1$y,f1$z,ylim=c(0,8),xlim=c(0,3),ylab="TC mmol/L",
         xlab="HDL mmol/L")

require(locfit)
# used identical weights although the earlier solution used the NHANES3 weights

tc.hdl.fit <-  locfit( ~ HDL.ran+ TC.ran,
                    weights=rep(1, 400),
                    xlim=c(0,0,4,10)
                        )
plot(tc.hdl.fit, ylab="TC mmol/L",
                    xlab="HDL mmol/L")


# if you want an example using the NHANES data, I could do that as well.

Presumably the smoothing parameters could be adjusted to get the kde2d and the locfit solutions to be similar.

Density estimates need a formula of the form " ~ x + y". If a regression of a discrete dependent variable is needed then we can thrash through that, but it's not really a density as I (or Loader) term it. Compare this modification of the examples on the plot.locfit help page:

x1 <- rnorm(1000) ; x2 <- rnorm(1000)
y <- dnorm(abs(x1-x2)) + rnorm(1000) / 5
plot(locfit(y~x1+x2), band="global")  # regression
plot(locfit(~x1+x2), band="global") # joint density

I do not that the code for plot.locfit appears to be using base graphics, although the help page suggests that trellis graphics will be used. I was not able to get an xlab or ylab to appear.
--
David.
On Jul 6, 2010, at 8:37 AM, David Winsemius wrote:


On Jul 6, 2010, at 7:08 AM, Arnab Maity wrote:

Hi,

Can you provide me an example in R to estimate the density using locfit package with the help of multi dimensional explanatory variables and one dimensional dependent variable?

When I came up with a solution I posted it:

https://stat.ethz.ch/pipermail/r-help/2008-January/151755.html

Thank you.

Arnab Kumar Maity
Research Assistant

David Winsemius, MD
West Hartford, CT

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