Exact Probabilities and Confidence Limits for Binomial Samples: Applied to the Difference between Two Proportions

Exact Probabilities and Confidence Limits for Binomial Samples: Applied to the Difference between Two Proportions

An exact probabilities method is proposed for computing the confidence limits of medical binomial parameters obtained based on the 2×2 contingency table. The developed algorithm was described and assessed for the difference between two binomial proportions (a bidimensional parameter). The behavior o...

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Main Authors: Lorentz Jäntschi, Sorana D. Bolboacă
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1100/tsw.2010.75
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spelling doaj-a2a71da2155343b692e1d04c2ab532952020-11-25T01:37:59ZengHindawi LimitedThe Scientific World Journal1537-744X2010-01-011086587810.1100/tsw.2010.75Exact Probabilities and Confidence Limits for Binomial Samples: Applied to the Difference between Two ProportionsLorentz Jäntschi0Sorana D. Bolboacă1Department of Chemistry, Technical University of Cluj-Napoca, RomaniaDepartment of Medical Informatics and Biostatistics, “Iuliu Hatieganu” University of Medicine and Pharmacy Cluj-Napoca, RomaniaAn exact probabilities method is proposed for computing the confidence limits of medical binomial parameters obtained based on the 2×2 contingency table. The developed algorithm was described and assessed for the difference between two binomial proportions (a bidimensional parameter). The behavior of the proposed method was analyzed and compared to four previously defined methods: Wald and Wilson, with and without continuity corrections. The exact probabilities method proved to be monotonic in computing the confidence limits. The experimental errors of the exact probabilities method applied to the difference between two proportions has never exceeded the imposed significance level of 5%.http://dx.doi.org/10.1100/tsw.2010.75
collection DOAJ
language English
format Article
sources DOAJ
author Lorentz Jäntschi
Sorana D. Bolboacă
spellingShingle Lorentz Jäntschi
Sorana D. Bolboacă
Exact Probabilities and Confidence Limits for Binomial Samples: Applied to the Difference between Two Proportions
The Scientific World Journal
author_facet Lorentz Jäntschi
Sorana D. Bolboacă
author_sort Lorentz Jäntschi
title Exact Probabilities and Confidence Limits for Binomial Samples: Applied to the Difference between Two Proportions
title_short Exact Probabilities and Confidence Limits for Binomial Samples: Applied to the Difference between Two Proportions
title_full Exact Probabilities and Confidence Limits for Binomial Samples: Applied to the Difference between Two Proportions
title_fullStr Exact Probabilities and Confidence Limits for Binomial Samples: Applied to the Difference between Two Proportions
title_full_unstemmed Exact Probabilities and Confidence Limits for Binomial Samples: Applied to the Difference between Two Proportions
title_sort exact probabilities and confidence limits for binomial samples: applied to the difference between two proportions
publisher Hindawi Limited
series The Scientific World Journal
issn 1537-744X
publishDate 2010-01-01
description An exact probabilities method is proposed for computing the confidence limits of medical binomial parameters obtained based on the 2×2 contingency table. The developed algorithm was described and assessed for the difference between two binomial proportions (a bidimensional parameter). The behavior of the proposed method was analyzed and compared to four previously defined methods: Wald and Wilson, with and without continuity corrections. The exact probabilities method proved to be monotonic in computing the confidence limits. The experimental errors of the exact probabilities method applied to the difference between two proportions has never exceeded the imposed significance level of 5%.
url http://dx.doi.org/10.1100/tsw.2010.75
work_keys_str_mv AT lorentzjantschi exactprobabilitiesandconfidencelimitsforbinomialsamplesappliedtothedifferencebetweentwoproportions
AT soranadbolboaca exactprobabilitiesandconfidencelimitsforbinomialsamplesappliedtothedifferencebetweentwoproportions
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