Confidence interval for paired binomial proportions
The classical Wald statistic which is used for constructing confidence intervals produces too narrow a confidence interval when the difference in proportions is close to zero or one (Newcombe (1998)). Newcombe, instead, suggests using a modification of Wilson's (1927) method based on a single proportion. Agresti & Kin (2005) suggest a modification of the Wald statistic and these are all included in this EXCEL spreadsheet. TO BE ADDED HERE!
References
Agresti A and Min Y (2005) Simple improved confidence intervals for comparing matched proportions. Statistics in Medicine 24(5) 729-740.
Newcombe RG (1998) Improved confidence intervals for the difference between binomial proportions based on paired data. Statistics in Medicine 17 2635-2650.
Lee S & Lee S-C (2007) An improved confidence interval for the population proportion in a double sampling scheme subject to false-positive misclassification, Journal of the Korean Statistical Society 36 275–284. (reference for agrestic-oull method used in above spreadsheet).