IDEAS home Printed from https://ideas.repec.org/a/bla/biomet/v64y2008i3p716-723.html
   My bibliography  Save this article

A New Exact and More Powerful Unconditional Test of No Treatment Effect from Binary Matched Pairs

Author

Listed:
  • Chris J. Lloyd

Abstract

Summary We consider the problem of testing for a difference in the probability of success from matched binary pairs. Starting with three standard inexact tests, the nuisance parameter is first estimated and then the residual dependence is eliminated by maximization, producing what I call an E+M P‐value. The E+M P‐value based on McNemar's statistic is shown numerically to dominate previous suggestions, including partially maximized P‐values as described in Berger and Sidik (2003, Statistical Methods in Medical Research12, 91–108). The latter method, however, may have computational advantages for large samples.

Suggested Citation

  • 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.
    • Handle: RePEc:bla:biomet:v:64:y:2008:i:3:p:716-723
    DOI: 10.1111/j.1541-0420.2007.00936.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1541-0420.2007.00936.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1541-0420.2007.00936.x?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
    ---><---

    References listed on IDEAS

    as
    1. Devan V. Mehrotra & Ivan S. F. Chan & Roger L. Berger, 2003. "A Cautionary Note on Exact Unconditional Inference for a Difference between Two Independent Binomial Proportions," Biometrics, The International Biometric Society, vol. 59(2), pages 441-450, June.
    2. 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.
    3. Man-Lai Tang & Nian-Sheng Tang & Vincent J. Carey, 2004. "Confidence Interval for Rate Ratio in a 2 × 2 Table with Structural Zero: An Application in Assessing False-Negative Rate Ratio When Combining Two Diagnostic Tests," Biometrics, The International Biometric Society, vol. 60(2), pages 550-555, June.
    4. Quinn McNemar, 1947. "Note on the sampling error of the difference between correlated proportions or percentages," Psychometrika, Springer;The Psychometric Society, vol. 12(2), pages 153-157, June.
    5. Ivan S. F. Chan & Nian-Sheng Tang & Man-Lai Tang & Ping-Shing Chan, 2003. "Statistical Analysis of Noninferiority Trials with a Rate Ratio in Small-Sample Matched-Pair Designs," Biometrics, The International Biometric Society, vol. 59(4), pages 1170-1177, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Shan, Guogen, 2013. "More efficient unconditional tests for exchangeable binary data with equal cluster sizes," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 644-649.
    2. Xiaochun Li & Mengling Liu & Judith D. Goldberg, 2011. "A Note on Monotonicity Assumptions for Exact Unconditional Tests in Binary Matched-Pairs Designs," Biometrics, The International Biometric Society, vol. 67(4), pages 1666-1668, December.
    3. Guogen Shan & Gregory Wilding, 2015. "Unconditional tests for association in 2 × 2 contingency tables in the total sum fixed design," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 69(1), pages 67-83, February.

    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. 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.
    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. 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.
    4. Uttam Bandyopadhyay & Atanu Biswas & Shirsendu Mukherjee, 2009. "Adaptive two-treatment two-period crossover design for binary treatment responses incorporating carry-over effects," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 18(1), pages 13-33, March.
    5. Bester Tawona Mudereri & Elfatih M. Abdel-Rahman & Shepard Ndlela & Louisa Delfin Mutsa Makumbe & Christabel Chiedza Nyanga & Henri E. Z. Tonnang & Samira A. Mohamed, 2022. "Integrating the Strength of Multi-Date Sentinel-1 and -2 Datasets for Detecting Mango ( Mangifera indica L.) Orchards in a Semi-Arid Environment in Zimbabwe," Sustainability, MDPI, vol. 14(10), pages 1-23, May.
    6. Nosi, Costanza & D’Agostino, Antonella & Pratesi, Carlo Alberto & Barbarossa, Camilla, 2021. "Evaluating a social marketing campaign on healthy nutrition and lifestyle among primary-school children: A mixed-method research design," Evaluation and Program Planning, Elsevier, vol. 89(C).
    7. 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.
    8. John E. Core, 2010. "Discussion of Chief Executive Officer Equity Incentives and Accounting Irregularities," Journal of Accounting Research, Wiley Blackwell, vol. 48(2), pages 273-287, May.
    9. Preety Srivastava & Xueyan Zhao, 2010. "What Do the Bingers Drink? Micro‐Unit Evidence on Negative Externalities and Drinker Characteristics of Alcohol Consumption by Beverage Types," Economic Papers, The Economic Society of Australia, vol. 29(2), pages 229-250, June.
    10. Chris J. Lloyd, 2010. "Bootstrap and Second-Order Tests of Risk Difference," Biometrics, The International Biometric Society, vol. 66(3), pages 975-982, September.
    11. 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.
    12. Hanousek Jan & Kočenda Evžen & Novotný Jan, 2012. "The identification of price jumps," Monte Carlo Methods and Applications, De Gruyter, vol. 18(1), pages 53-77, January.
    13. 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.
    14. Monnery, Benjamin & Wolff, François-Charles & Henneguelle, Anaïs, 2020. "Prison, semi-liberty and recidivism: Bounding causal effects in a survival model," International Review of Law and Economics, Elsevier, vol. 61(C).
    15. Holger Schwender & Margaret A. Taub & Terri H. Beaty & Mary L. Marazita & Ingo Ruczinski, 2012. "Rapid Testing of SNPs and Gene–Environment Interactions in Case–Parent Trio Data Based on Exact Analytic Parameter Estimation," Biometrics, The International Biometric Society, vol. 68(3), pages 766-773, September.
    16. Matysková, Ludmila & Rogers, Brian & Steiner, Jakub & Sun, Keh-Kuan, 2020. "Habits as adaptations: An experimental study," Games and Economic Behavior, Elsevier, vol. 122(C), pages 391-406.
    17. André, Kévin, 2013. "Applying the Capability Approach to the French Education System: An Assessment of the "Pourquoi pas moi ?"," ESSEC Working Papers WP1316, ESSEC Research Center, ESSEC Business School.
    18. repec:hal:journl:hal-00880246 is not listed on IDEAS
    19. Ruiz-Frau, A. & Krause, T. & Marbà , N., 2018. "The use of sociocultural valuation in sustainable environmental management," Ecosystem Services, Elsevier, vol. 29(PA), pages 158-167.
    20. repec:cup:judgdm:v:8:y:2013:i:3:p:278-298 is not listed on IDEAS
    21. Shaub, David, 2020. "Fast and accurate yearly time series forecasting with forecast combinations," International Journal of Forecasting, Elsevier, vol. 36(1), pages 116-120.
    22. AlMalki, Hameeda A. & Durugbo, Christopher M., 2023. "Evaluating critical institutional factors of Industry 4.0 for education reform," Technological Forecasting and Social Change, Elsevier, vol. 188(C).

    More about this item

    Statistics

    Access and download statistics

    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:bla:biomet:v:64:y:2008:i:3:p:716-723. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0006-341X .

    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.