[R] about the 95%CI around the median...
Rolf Turner
r.turner at auckland.ac.nz
Mon Aug 4 23:01:31 CEST 2008
On 5/08/2008, at 1:31 AM, Frank E Harrell Jr wrote:
<snip>
> I wonder why we don't just use the exact nonparametric confidence
> interval for the median, which is just as easy to compute. Also,
> it will be asymmetric if the data are skewed, as it should be.
<snip>
The boxplot.stats() function gives the same ``confidence interval''
for the median as the
boxplot() function. This isn't however *really* a confidence interval.
The help on boxplot() (see the ``notch'' argument) indicates that
this ``confidence interval''
actually provides a rough *hypothesis test* of the equality of *two*
medians. The null hypothesis
is rejected if the notches (confidence intervals) don't overlap.
cheers,
Rolf
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