A note on new confidence intervals for the difference between two proportions based on an Edgeworth expansion |
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Authors: | Bruno Lecoutre,Sé bastien Faure |
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Affiliation: | 1. ERIS, Laboratoire de Mathématiques Raphaël Salem, UMR 6085 C.N.R.S. et Université de Rouen, Avenue de l’Université, BP 12, 76801 Saint-Etienne-du-Rouvray, France;2. PSICO, Université Charles-de-Gaulle-Lille 3, BP 149, 59653 Villeneuve d’Ascq Cedex, France |
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Abstract: | Zhou and Qin [2004. New intervals for the difference between two independent binomial proportions. J. Statist. Plann. Inference 123, 97–115; 2005. A new confidence interval for the difference between two binomial proportions of paired data. J. Statist. Plann. Inference 128, 527–542] “new confidence intervals” for the difference between two treatment proportions exhibit a severe lack of invariance property that is a compelling reason not to use them. |
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Keywords: | Difference between proportions Confidence intervals Zhou and Qin's intervals Invariance Two-sample design Paired design |
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