On Mar 2, 2012, at 7:05 PM, Duncan Murdoch wrote:

On 12-03-02 4:47 PM, Jun Shen wrote:
Dear list,

If I know the standard error for k1 and k2, is there anything I can call in
R to calculate the standard error of k1/k2? Thanks.

No, because it depends on the joint distribution of k1 and k2. Even if you knew they were independent, that would not be sufficient (though you could use the delta method to get an approximation in that case; look it up).

A nice article with useful information on three approaches to this problem appeared in BMC Medical Research Methodoogy:

"Methods for confidence interval estimation of a ratio parameter with application to location quotients", by Beyene and Moineddin.
http://www.biomedcentral.com/1471-2288/5/32

Both were at Department of Public Health Science, University of Toronto, Toronto, Ontario, Canada, when this appeared in 2005. I thought they might have been neighbors of yours, Duncan, but I looked at a map and see that my understanding of Ontario geography is not particularly accurate.


Duncan Murdoch


Jun
--
David Winsemius, MD
West Hartford, CT

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