IDEAS home Printed from https://ideas.repec.org/a/spr/metron/v82y2024i2d10.1007_s40300-023-00264-1.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40300-023-00264-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s40300-023-00264-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. repec:bla:biomet:v:71:y:2015:i:4:p:985-995 is not listed on IDEAS
    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. 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.
    5. 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.
    6. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Philippe Flandre, 2011. "Statistical Methods in Recent HIV Noninferiority Trials: Reanalysis of 11 Trials," PLOS ONE, Public Library of Science, vol. 6(9), pages 1-8, September.
    2. Reiczigel, Jeno & Abonyi-Tóth, Zsolt & Singer, Júlia, 2008. "An exact confidence set for two binomial proportions and exact unconditional confidence intervals for the difference and ratio of proportions," Computational Statistics & Data Analysis, Elsevier, vol. 52(11), pages 5046-5053, July.
    3. Tang, Man-Lai & Qiu, Shi-Fang & Poon, Wai-Yin, 2012. "Confidence interval construction for disease prevalence based on partial validation series," Computational Statistics & Data Analysis, Elsevier, vol. 56(5), pages 1200-1220.
    4. 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.
    5. Santner, Thomas J. & Pradhan, Vivek & Senchaudhuri, Pralay & Mehta, Cyrus R. & Tamhane, Ajit, 2007. "Small-sample comparisons of confidence intervals for the difference of two independent binomial proportions," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 5791-5799, August.
    6. Kabaila, Paul, 2008. "Statistical properties of exact confidence intervals from discrete data using studentized test statistics," Statistics & Probability Letters, Elsevier, vol. 78(6), pages 720-727, April.
    7. Munk, A. & Skipka, G. & Stratmann, B., 2005. "Testing general hypotheses under binomial sampling: the two sample case--asymptotic theory and exact procedures," Computational Statistics & Data Analysis, Elsevier, vol. 49(3), pages 723-739, June.
    8. Ben Klemens, 2022. "An analysis of US domestic migration via subset-stable measures of administrative data," Journal of Computational Social Science, Springer, vol. 5(1), pages 351-382, May.
    9. Joseph B. Lang, 2017. "Mean-Minimum Exact Confidence Intervals," The American Statistician, Taylor & Francis Journals, vol. 71(4), pages 354-368, October.
    10. Martin Biehler & Heinz Holling & Philipp Doebler, 2015. "Saddlepoint Approximations of the Distribution of the Person Parameter in the Two Parameter Logistic Model," Psychometrika, Springer;The Psychometric Society, vol. 80(3), pages 665-688, September.
    11. Guogen Shan & Xinlin Lu & Yahui Zhang & Samuel S. Wu, 2024. "Confidence intervals for overall response rate difference in the sequential parallel comparison design," Statistical Papers, Springer, vol. 65(8), pages 5333-5349, October.
    12. Martin Andres, A. & Herranz Tejedor, I., 2004. "Exact unconditional non-classical tests on the difference of two proportions," Computational Statistics & Data Analysis, Elsevier, vol. 45(2), pages 373-388, March.
    13. Rickey E. Carter & Yan Lin & Stuart R. Lipsitz & Robert G. Newcombe & Kathie L. Hermayer, 2010. "Relative risk estimated from the ratio of two median unbiased estimates," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(4), pages 657-671, August.
    14. Yosi S. Mutiarni & Hitoshi Nakamura & Yasmin Bhattacharya, 2022. "The Resilient Community: Strengthening People-Centered Disaster Risk Reduction in the Merapi Volcano Community, Java, Indonesia," Sustainability, MDPI, vol. 14(4), pages 1-28, February.
    15. Xu Gao & Daniel Gillen & Hernando Ombao, 2018. "Fisher information matrix of binary time series," METRON, Springer;Sapienza Università di Roma, vol. 76(3), pages 287-304, December.
    16. Lucio Barabesi & Marzia Marcheselli, 2011. "Parameter estimation in the classical occupancy model," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 20(3), pages 305-327, August.
    17. Yan Li & Daniel Zelterman & Brian W. C. Forsyth, 2003. "Analyzing Multiply Matched Cohort Studies with Two Different Comparison Groups: Application to Pregnancy Rates among HIV+ Women," Biometrics, The International Biometric Society, vol. 59(3), pages 632-639, September.
    18. Agaviezor, D.T. & Emenike, G.C. & Eludoyin O.S., 2022. "Traffic congestion and demand management measures in Port Harcourt metropolis," International Journal of Research and Innovation in Social Science, International Journal of Research and Innovation in Social Science (IJRISS), vol. 6(7), pages 142-151, July.
    19. Diana Marín & Yoav Keynan & Shrikant I. Bangdiwala & Lucelly López & Zulma Vanessa Rueda, 2023. "Tuberculosis in Prisons: Importance of Considering the Clustering in the Analysis of Cross-Sectional Studies," IJERPH, MDPI, vol. 20(7), pages 1-16, April.
    20. P. Elliott & K. Riggs, 2015. "Confidence regions for two proportions from independent negative binomial distributions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(1), pages 27-36, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:metron:v:82:y:2024:i:2:d:10.1007_s40300-023-00264-1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.