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Articles

Confidence intervals for proportion ratios of stratified correlated bilateral data

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Pages 203-225 | Received 12 Jul 2017, Accepted 11 Jun 2018, Published online: 16 Jul 2018

References

  • Rosner, B. (1982). Statistical methods in ophthalmology: An adjustment for the intraclass correlation between eyes. Biometrics 38:105–114. doi:10.2307/2530293
  • Pei, Y., Tian, G. L., Tang, M. L. (2014). Testing homogeneity of proportion ratios for stratified correlated bilateral data in two-arm randomized clinical trials. Statistics in Medicine 33(25):4370–4386. doi:10.1002/sim.6244
  • Tang, N. S., Qiu, S. F. (2012). Homogeneity test, sample size determination and interval construction of difference of two proportions in stratified bilateral-sample designs. Journal of Statistical Planning and Inference 142(5):1243–1251. doi:10.1016/j.jspi.2011.12.005
  • Gardner, M. J., Altman, D. G. (1986). Confidence intervals rather than p values: Estimation rather than hypothesis testing. British Medical Journal (Clinical Research Edition) 292(6522):746–750. doi:10.1136/bmj.292.6522.746
  • Casella, G., Berger, R. L. (2002). Statistical Inference, 2nd ed. Pacific Grove, Calif: Duxbury/Thomson Learning.
  • Tang, N. S., Qiu, S. F., Tang, M. L., Pei, Y. (2011). Asymptotic confidence interval construction for propor- tion difference in medical studies with bilateral data. Statistical Methods in Medical Research 20(3):233–259. doi:10.1177/0962280209358135
  • Pei, Y., Tang, M. L., Wong, W. K., Guo, J. (2012). Confidence intervals for correlated proportion differ- ences from paired data in a two-arm randomised clinical trial. Statistical Methods in Medical Research 21(2):167–187. doi:10.1177/0962280210365018
  • Tang, M. L., Ling, M. H., Tian, G. L. (2009). Exact and approximate unconditional confidence intervals for proportion difference in the presence of incomplete data. Statistics in Medicine 28(4):625–641. doi:10.1002/sim.3490
  • Tang, M. L., He, X., Tian, G. (2013). A confidence interval approach for comparative studies involving binary outcomes in paired organs. Communications in Statistics: Simulation and Computation 42(2):425–453. doi:10.1080/03610918.2011.639002
  • Newcombe, R. (1998a). Improved confidence intervals for the difference between binomial proportions based on paired data. Statistics in Medicine 17(22):2635–2650. doi:10.1002/(ISSN)1097-0258
  • Bonett, D., Price, R. (2006). Confidence intervals for a ratio of binomial proportions based on paired data. Statistics in Medicine 25(17):3039–3047. doi:10.1002/(ISSN)1097-0258
  • Li, H. Q., Chan, I. S. F., Tang, M. L., Tian, G. L., Tang, N. S. (2014). Confidence-interval construction for rate ratio in matched-pair studies with incomplete data. Journal of Biopharmaceutical Statistics 24(3):546–568. doi:10.1080/10543406.2014.888438
  • Donner, A. (1989). Statistical methods in opthalmology: An adjusted chi-square approach. Biometrics 45(2):605–611. doi:10.2307/2531501
  • Pei, Y., Tang, M. L., Wong, W. K., Tang, N. S. (2011). Testing equality of correlations of two paired binary responses from two treated groups in a randomized trial. Journal of Biopharmaceutical Statistics 21(3):511–525. doi:10.1080/10543406.2010.482682
  • Ma, C., Liu, S. (2016). Testing equality of proportions for correlated binary data in ophthalmologic studies. Journal of Biopharmaceutical Statistics 27:1–9.
  • Lehmann, E. L. (2004). Elements of Large Sample Theory. New York: Springer.
  • Yang, Z., Liu, X., Liu, S., Ma, C. (2018). Confidence intervals for difference of proportions from correlated bilateral data in ophthalmologic studies. Submitted.
  • Zhuang, T., Ma, C. (2018). Homogeneity test of ratio of two proportions in stratified bilateral data. Submitted.
  • Newcombe, R. (1998b). Interval estimation for the difference between independent proportions: Comparison of eleven methods. Statistics in Medicine 17(8):873–890. doi:10.1002/(ISSN)1097-0258
  • Newcombe, R. (1998c). Two-sided confidence intervals for the single proportion: Comparison of seven methods. Statistics in Medicine 17(8):857–872. doi:10.1002/(ISSN)1097-0258
  • Newcombe, R. (2003). Confidence intervals for the mean of a variable taking the values 0,1 and 2. Statistics in Medicine 22(17):2737–2750. doi:10.1002/(ISSN)1097-0258
  • Newcombe, R. (2011). Measures of location for confidence intervals for proportions. Communications in Statistics - Theory and Methods 40(10):1743–1767. doi:10.1080/03610921003646406
  • Mandel, E. M., Bluestone, C. D., Rockette, H. E., Blatter, M. M., Reisinger, K. S., Wucher, F. P., Harper, J. (1982). Duration of effusion after antibiotic treatment for acute otitis media: Comparison of cefaclor and amoxicillin. The Pediatric Infectious Disease Journal 1(15):310–316. doi:10.1097/00006454-198209000-00006
  • Tang, M. L., Pei, Y., Wong, W. K., Li, J. L. (2012). Goodness-of-fit tests for correlated paired binary data. Statistical Methods in Medical Research 21(4):331–345. doi:10.1177/0962280210381176

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