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Original Articles

Confidence intervals for difference between two binomial proportions derived from logistic regression

ORCID Icon, ORCID Icon, ORCID Icon &
Pages 3223-3236 | Received 04 Oct 2018, Accepted 24 Dec 2019, Published online: 31 Jan 2020

References

  • Agresti, A., and B. Caffo. 2000. Simple and effective confidence intervals for proportions and differences of proportions result from adding two successes and two failures. The American Statistician 54 (4):280–8. doi:10.2307/2685779.
  • Altman, D., D. Machin, T. Bryant, and M. Gardner. 2000. Statistics with Confidence: Confidence Intervals and Statistical Guidelines. 2nd ed. London: British Medical Journal.
  • Brown, L., and X. Li. 2005. Confidence intervals for two sample binomial distribution. Journal of Statistical Planning and Inference 130 (1–2):359–75. doi:10.1016/j.jspi.2003.09.039.
  • Fagerland, M. W., S. Lydersen, and P. Laake. 2015. Recommended confidence intervals for two independent binomial proportions. Statistical Methods in Medical Research 24 (2):224–54. doi:10.1177/0962280211415469.
  • Farrington, C. P., and G. Manning. 1990. Test statistics and sample size formulae for comparative binomial trials with null hypothesis of non-zero risk difference or non-unity relative risk. Statistics in Medicine 9 (12):1447–54. doi:10.1002/sim.4780091208.
  • Harvey, W. R. 1975. Least-squares analysis of data with unequal subclass numbers. Technical Report ARS H-4, U.S. Department of Agriculture, Agriculture Research Service, Beltsville, MD.
  • Hauck, W. W., and S. Anderson. 1986. A comparison of large-sample confidence interval methods for the difference of two binomial probabilities. The American Statistician 40 (4):318–22. doi:10.2307/2684618.
  • Hosmer, D. W., Jr., S. Lemeshow, and R. X. Sturdivant. 2013. Applied Logistic Regression. 3rd ed. Hoboken, NJ: John Wiley & Sons.
  • Landewé, R., J. Braun, A. Deodhar, M. Dougados, W. Maksymowych, P. Mease, J. Reveille, M. Rudwaleit, D. van der Heijde, C. Stach, et al. 2014. Efficacy of certolizumab pegol on signs and symptoms of axial spondyloarthritis including ankylosing spondylitis: 24-week results of a double-blind randomised placebo-controlled phase 3 study. Annals of the Rheumatic Diseases 73 (1):39–47. doi:10.1136/annrheumdis-2013-204231.
  • Neuhaus, J. M. 1998. Estimation efficiency with omitted covariates in generalized linear models. Journal of the American Statistical Association 93 (443):1124–9. doi:10.2307/2669855.
  • Neuhaus, J. M., and N. P. Jewell. 1993. A geometric approach to assess bias due to omitted covariates in generalized linear models. Biometrika 80 (4):807–15. doi:10.1093/biomet/80.4.807.
  • Newcombe, R. G. 1998. Interval estimation for the difference between independent proportions: Comparison of eleven methods. Statistics in Medicine 17 (8):873–90. doi:10.1002/(SICI)1097-0258(19980430)17:8<873::AID-SIM779>3.0.CO;2-I.
  • Newcombe, R. G. 2012. Confidence Intervals for Proportions and Related Measures of Effect Size. Boca Raton, FL: CRC Press.
  • Reeve, R. 2018. Confidence interval of difference of proportions in logistic regression in presence of covariates. Statistical Methods in Medical Research 27 (2):451–65. doi:10.1177/0962280216631583.
  • Robinson, L. D., and N. P. Jewell. 1991. Some surprising results about covariate adjustment in logistic regression models. International Statistical Review 58 (2):227–40. doi:10.2307/1403444.
  • Searle, S. R., F. M. Speed, and G. A. Milliken. 1980. Population marginal means in the linear model: an alternative to least squares means. The American Statistician 34 (4):216–21. doi:10.1080/00031305.1980.10483031.
  • Vittinghoff, E., D. V. Glidden, S. C. Shiboski, and C. E. McCulloch. 2012. Regression Methods in Biostatistics: Linear, Logistic, Survival, and Repeated Measures Models. 2nd ed. New York: Springer-Verlag.
  • Wilson, E. B. 1927. Probable inference, the law of succession, and statistical inference. Journal of the American Statistical Association 22 (158):209–12. doi:10.1080/01621459.1927.10502953.

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