On Jan 30, 2011, at 9:28 AM, Graham Smith wrote:

I am sure I am opening myself up to looking stupid,

Or exposing a failure to read the help page.

but  I have two samples
with medians of 613.5 and 189 (difference in location of 424 compared to
the difference suggested from the wilcoxon of 291.5)

wilcox.test(pipwtCount,pipwdCount, conf.int=TRUE, na.rm=TRUE)

   Wilcoxon rank sum test

data:  pipwtCount and pipwdCount
W = 822, p-value = 0.01227
alternative hypothesis: true location shift is not equal to 0
95 percent confidence interval:
 58 639
sample estimates:
difference in location
                291.5

The Wilcoxon two sample test is not a test of equality of medians. Read the Details help page. The estimated location is a pseudomedian.

> plot(density(pipwtCount))
> plot(density(pipwdCount, na.rm=TRUE))

Both are highly right-skewed.

--
David.

The data is here

pipwtCount
[1] 532 298 215 1588 38 180 284 376 5349 1024 650 605 1307 6147
21
[16] 453 23 1983 1048 464 2183 1028 1361 163 175 5944 569 622 793
70
[31]   67 1188  248 3010   19 2179 1339  408  113  739 2615 4619

pipwdCount
[1] 89 384 12 703 2 138 189 383 314 482 96 907 90 1193
154
[16] 305 61 414 4764 1066 121 143 102 174 44 2896 NA 1103 161
199

median(pipwtCount)
[1] 613.5
median(pipwdCount,na.rm=T)
[1] 189
613.5-189
[1] 424.5


I would appreciate if someone could point out the obvious to me, and explain
why there is such a large discrepancy in the differences in location.



Many thanks,

Graham

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David Winsemius, MD
West Hartford, CT

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