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Frequentist Performance of Bayesian Confidence Intervals for Comparing Proportions in 2 × 2 Contingency Tables

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  • Alan Agresti
  • Yongyi Min

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  • Alan Agresti & Yongyi Min, 2005. "Frequentist Performance of Bayesian Confidence Intervals for Comparing Proportions in 2 × 2 Contingency Tables," Biometrics, The International Biometric Society, vol. 61(2), pages 515-523, June.
    • Handle: RePEc:bla:biomet:v:61:y:2005:i:2:p:515-523
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    File URL: http://hdl.handle.net/10.1111/j.1541-0420.2005.031228.x
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    References listed on IDEAS

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    1. Judith Rousseau, 2000. "Coverage Properties of One-Sided Intervals in the Discrete Case and Application to Matching Priors," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 52(1), pages 28-42, March.
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    Cited by:

    1. Luai Al-Labadi & Petru Ciur & Milutin Dimovic & Kyuson Lim, 2023. "Assessing Multinomial Distributions with a Bayesian Approach," Mathematics, MDPI, vol. 11(13), pages 1-16, July.
    2. Li, Huiqiong & Tian, Guoliang & Tang, Niansheng & Cao, Hongyuan, 2018. "Assessing non-inferiority for incomplete paired-data under non-ignorable missing mechanism," Computational Statistics & Data Analysis, Elsevier, vol. 127(C), pages 69-81.
    3. Peng Bai & Wen Gan & Lei Shi, 2011. "Bayesian confidence interval for the risk ratio in a correlated 2 × 2 table with structural zero," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(12), pages 2805-2817, February.
    4. Minoda, Yuta & Yanagimoto, Takemi, 2009. "Estimation of a common slope in a gamma regression model with multiple strata: An empirical Bayes method," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4178-4185, October.
    5. Lei Shi & Hongyuan Sun & Peng Bai, 2009. "Bayesian confidence interval for difference of the proportions in a 2×2 table with structural zero," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(5), pages 483-494.
    6. Tuany Paula Castro & Carlos Daniel Paulino & Julio M. Singer, 2022. "A fair comparison of credible and confidence intervals: an example with binomial proportions," METRON, Springer;Sapienza Università di Roma, vol. 80(3), pages 371-382, December.
    7. Alan Agresti & Matilde Bini & Bruno Bertaccini & Euijung Ryu, 2008. "Simultaneous Confidence Intervals for Comparing Binomial Parameters," Biometrics, The International Biometric Society, vol. 64(4), pages 1270-1275, December.
    8. Antonella Lopez & Alessandro Germani & Luigi Tinella & Alessandro Oronzo Caffò & Albert Postma & Andrea Bosco, 2021. "The Road More Travelled: The Differential Effects of Spatial Experience in Young and Elderly Participants," IJERPH, MDPI, vol. 18(2), pages 1-20, January.
    9. Frank Tuyl & Richard Gerlach & Kerrie Mengersen, 2008. "Inference for Proportions in a 2 × 2 Contingency Table: HPD or not HPD?," Biometrics, The International Biometric Society, vol. 64(4), pages 1293-1295, December.
    10. Chris J. Lloyd, 2008. "A New Exact and More Powerful Unconditional Test of No Treatment Effect from Binary Matched Pairs," Biometrics, The International Biometric Society, vol. 64(3), pages 716-723, September.
    11. Maria Bekker-Nielsen Dunbar & Thomas J R Finnie & Barney Sloane & Ian M Hall, 2019. "Methods for calculating credible intervals for ratios of beta distributions with application to relative risks of death during the second plague pandemic," PLOS ONE, Public Library of Science, vol. 14(2), pages 1-12, February.
    12. Luzia Gonçalves & M. Rosário de Oliveira & Cláudia Pascoal & Ana Pires, 2012. "Sample size for estimating a binomial proportion: comparison of different methods," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(11), pages 2453-2473, July.
    13. Alan Agresti & Sabrina Giordano & Anna Gottard, 2022. "A Review of Score-Test-Based Inference for Categorical Data," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 20(1), pages 31-48, September.

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