Differences of two proportions occur most frequently in biomedical research. However, as far as published work is concerned, only approximations have been used to study the distribution of such differences. In this note, we derive the exact probability distribution of the difference of two proportions for seven flexible beta type distributions. The expressions involve several well known special functions. The use of these results with respect to known approximations is illustrated.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am36-4-4,
author = {Saralees Nadarajah},
title = {On the use of difference of two proportions},
journal = {Applicationes Mathematicae},
volume = {36},
year = {2009},
pages = {441-452},
zbl = {1188.33023},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am36-4-4}
}
Saralees Nadarajah. On the use of difference of two proportions. Applicationes Mathematicae, Tome 36 (2009) pp. 441-452. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am36-4-4/