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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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1100/tsw.2010.75 |
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| _version_ | 1832563109143773184 |
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| author | Lorentz Jäntschi Sorana D. Bolboacă |
| author_facet | Lorentz Jäntschi Sorana D. Bolboacă |
| author_sort | Lorentz Jäntschi |
| collection | DOAJ |
| 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%. |
| format | Article |
| id | doaj-art-a2a71da2155343b692e1d04c2ab53295 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-a2a71da2155343b692e1d04c2ab532952025-02-03T01:20:56ZengWileyThe 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1100/tsw.2010.75 |
| work_keys_str_mv | AT lorentzjantschi exactprobabilitiesandconfidencelimitsforbinomialsamplesappliedtothedifferencebetweentwoproportions AT soranadbolboaca exactprobabilitiesandconfidencelimitsforbinomialsamplesappliedtothedifferencebetweentwoproportions |