On the use of difference of two proportions

Saralees Nadarajah

Applicationes Mathematicae (2009)

  • Volume: 36, Issue: 4, page 441-452
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Saralees Nadarajah. "On the use of difference of two proportions." Applicationes Mathematicae 36.4 (2009): 441-452. <http://eudml.org/doc/280046>.

@article{SaraleesNadarajah2009,
abstract = {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.},
author = {Saralees Nadarajah},
journal = {Applicationes Mathematicae},
keywords = {beta distribution; biomedical reserach; special functions; hypergeometric functions},
language = {eng},
number = {4},
pages = {441-452},
title = {On the use of difference of two proportions},
url = {http://eudml.org/doc/280046},
volume = {36},
year = {2009},
}

TY - JOUR
AU - Saralees Nadarajah
TI - On the use of difference of two proportions
JO - Applicationes Mathematicae
PY - 2009
VL - 36
IS - 4
SP - 441
EP - 452
AB - 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.
LA - eng
KW - beta distribution; biomedical reserach; special functions; hypergeometric functions
UR - http://eudml.org/doc/280046
ER -

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