On Aug 17, 2010, at 5:28 PM, maiya wrote:


Thanks, but that wasn't what I was going for. Like I said, I know how to do a
simple chi-square density plot with dchisq().

What I'm trying to do is chi-square / degrees of freedom. Hence
rchisq(100000,i)/i).

How do I do that with dchisq?

Maybe you should explain what you are trying to achieve or illustrate? X^2/df is not a verb, hence one cannot "do" it. If you want to plot a chi-square density on a scaled x-axis then you should say so. Let's assume for a moment that my guess is correct, ... then this would be the first cut:

plot(1, type="n",  xlab="", ylab="", xlim=c(0,2), ylim=c(0,1e-2))
for (i in c(10,50,100,200,500)){
lines(seq(0,2, by=0.01), dchisq(seq(0,2*i, 0.01*i),i)/i)
                               }

Notice that the peak heights are gradually spreading out. You will need a vertical factor that increases as some function of "i" in front of that dchisq().

Playing around with the ylims and scaling factors produces:

plot(1, type="n",  xlab="", ylab="", xlim=c(0,2), ylim=c(0,.1))
for (i in c(10,50,100,200,500)){
lines(seq(0,2, by=0.01), i*dchisq(seq(0,2*i, 0.01*i),i)/i)
}

Using i^2 as a vertical scaling factor :

plot(1, type="n",  xlab="", ylab="", xlim=c(0,2), ylim=c(0,10))
for (i in c(10,50,100,200,500)){
lines(seq(0,2, by=0.01), i^2*dchisq(seq(0,2*i, 0.01*i),i)/i)
                              }


Now, just what is it that you are trying to do? Or have I just done someone's homework again?


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David Winsemius, MD
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