[R] Calculation of standard error for a function

[Rolf Turner]

On 03/03/12 13:35, David Winsemius wrote:
>
> 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

<SNIP>

Chapter 6 of "Beyond Anova" by Rupert G. Miller, Chapman & Hall, 1997, 
might also
be of interest.

     cheers,

         Rolf Turner