For which x do you think sd(x) is evaluated?

Hint: the help page shows

    expr: an expression written as a function of 'x', or alternatively
          the name of a function which will be plotted.

and you have written dnorm(x, mean=mean(x), sd=sd(x)) as function of x.


On Thu, 10 Feb 2005, Thomas Hopper wrote:

I am attempting to wrap the histogram function in my own custom function, so that I can quickly generate some standard plots.

A part of what I want to do is to draw a normal curve over the histogram:

x <- rnorm(1000)
hist(x, freq=F)
curve(dnorm(x), lty=3, add=T)

(for normal use, x would be a vector of empirical values, but the rnorm() function works for testing)


That works just as you'd expect, but I've found something a bit strange.

If I try the following:

curve(dnorm(x, mean=mean(x), sd=sd(x)), lty=3, add=T)

I get a much flatter and broader curve (which looks like it probably has the same area as the first curve, though I haven't tested).


However, if I do

z <- sd(x)
curve(dnorm(x, mean=mean(x), sd=z), lty=1, add=T)

I get the curve you'd expect; it draws right over the first curve (curve(dnorm(x),...), above).


I haven't touched x between the call to curve() containing dnorm(...,sd=sd(x)) and the call to curve() containing dnorm(...,sd=z), and tests show that z == sd(x).

I get similar results if I manually type in the standard deviation of x--the expected curve is drawn--so the broader and flatter curve is only drawn when I call dnorm with sd=sd(x).

Is there a reason for this, or is there something odd going on with the call to curve()?

It's working as documented.

--
Brian D. Ripley,                  [EMAIL PROTECTED]
Professor of Applied Statistics,  http://www.stats.ox.ac.uk/~ripley/
University of Oxford,             Tel:  +44 1865 272861 (self)
1 South Parks Road,                     +44 1865 272866 (PA)
Oxford OX1 3TG, UK                Fax:  +44 1865 272595

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