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Score confidence interval with continuity correction for ratio of two independent proportions

Author

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  • Dongyuan Wu

    (University of Florida)

  • Guogen Shan

    (University of Florida)

Abstract

When conducting statistical inference to compare two independent proportions in either a randomized clinical trial or an observational study, researchers commonly use relative risk to assess the relationship between two measurements. Score methods are a favored statistical technique to construct confidence intervals for relative risk as they generally exhibit superior performance in terms of coverage probability and interval width when compared to other methods such as the log transformation interval. In this paper, we propose an improvement to the asymptotic score interval by adding a continuity correction, thereby reducing the impact of the discreteness of binary outcomes and further enhancing the coverage probability. We conduct comprehensive simulation experiments to evaluate the performance of the proposed continuity-corrected score interval in various scenarios. Our results indicate that this new method has high proportions of guaranteed coverage probability. This approach may be considered as an alternative approach to the exact confidence interval. Furthermore, we provide two real-world examples to demonstrate the application of the existing intervals and the newly proposed continuity correction interval.

Suggested Citation

  • Dongyuan Wu & Guogen Shan, 2024. "Score confidence interval with continuity correction for ratio of two independent proportions," METRON, Springer;Sapienza Università di Roma, vol. 82(2), pages 183-199, August.
    • Handle: RePEc:spr:metron:v:82:y:2024:i:2:d:10.1007_s40300-023-00264-1
    DOI: 10.1007/s40300-023-00264-1
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    References listed on IDEAS

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    1. repec:bla:biomet:v:71:y:2015:i:4:p:985-995 is not listed on IDEAS
    2. Alan Agresti & Yongyi Min, 2001. "On Small-Sample Confidence Intervals for Parameters in Discrete Distributions," Biometrics, The International Biometric Society, vol. 57(3), pages 963-971, September.
    3. Carsten Schmidt & Thomas Kohlmann, 2008. "When to use the odds ratio or the relative risk?," International Journal of Public Health, Springer;Swiss School of Public Health (SSPH+), vol. 53(3), pages 165-167, June.
    4. Guogen Shan & Shawn Gerstenberger, 2017. "Fisher’s exact approach for post hoc analysis of a chi-squared test," PLOS ONE, Public Library of Science, vol. 12(12), pages 1-12, December.
    5. Ivan S. F. Chan & Zhongxin Zhang, 1999. "Test-Based Exact Confidence Intervals for the Difference of Two Binomial Proportions," Biometrics, The International Biometric Society, vol. 55(4), pages 1202-1209, December.
    6. Natalie DelRocco & Yipeng Wang & Dongyuan Wu & Yuting Yang & Guogen Shan, 2023. "New Confidence Intervals for Relative Risk of Two Correlated Proportions," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 15(1), pages 1-30, April.
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