On the use of difference of two proportions

Volume 36 / 2009

Saralees Nadarajah Applicationes Mathematicae 36 (2009), 441-452 MSC: 33C90, 62E99. DOI: 10.4064/am36-4-4


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.


  • Saralees NadarajahSchool of Mathematics
    University of Manchester
    Manchester M13 9PL, UK

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