[R] Exact Confidence Intervals for the Ration of Two Binomial

[Charles C. Berry]

On Thu, 23 Aug 2007, Antonio_Paredes at aphis.usda.gov wrote:

> Hello everyone,
>
> I will like to know if there is an R package to compute exact confidence
> intervals for the ratio of two binomial proportions.


Probably not. This is a tricky business as the references below make 
clear.

To wit, small sample intervals cannot be based on conditioning on an 
ancillary statistic (Santer and Snell, 1980) and those small sample 
intervals that can be constructed are only 'exact' in a particular sense 
(Mantel, 1988).

@misc{mantel1988elr,
   title={{Exact Limits on the Ratio or Difference of Two Independent 
Binomial Proportions?}},
   author={Mantel, N.},
   journal={Biometrics},
   volume={44},
   number={2},
   pages={623--623},
   year={1988},
   publisher={JSTOR}
}

@article{santner1980ssc,
   title={{Small-Sample Confidence Intervals for p\_1-p\_2 and p\_1/p\_2 in 
2*2 Contingency Tables}},
   author={Santner, T.J. and Snell, M.K.},
   journal={Journal of the American Statistical Association},
   volume={75},
   number={370},
   pages={386--394},
   year={1980},
   publisher={JSTOR}
}


>
> Tony.
> 	[[alternative HTML version deleted]]
>
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Charles C. Berry                            (858) 534-2098
                                             Dept of Family/Preventive Medicine
E mailto:cberry at tajo.ucsd.edu	            UC San Diego
http://famprevmed.ucsd.edu/faculty/cberry/  La Jolla, San Diego 92093-0901