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Simple conservative confidence intervals for comparing matched proportions

Author

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  • Jonsson, Robert

    (Department of Economics)

Abstract

Unconditional confidence intervals (CIs) for the difference between marginal proportions in matched pairs data have essentially been based on improvements of Wald’s large-sample statistic. The latter are approximate and non-conservative. In some situations it may be of importance that CIs are conservative, e.g. when claiming bio-equivalence in small samples. Existing methods for constructing conservative CIs are computer intensive and are not suitable for sample size determination in planned stu... moredies. This paper presents a new simple method by which conservative CIs are readily computed. The method gives CIs that are comparable with earlier conservative methods concerning coverage probabilities and lengths. However, the new method can only be used if the proportions in the discordant cells p and q satisfies , but this is luckily the case in most applications and several examples are given. The new method is compared with previously suggested approximate and exact methods in large-scale simulations.

Suggested Citation

  • Jonsson, Robert, 2011. "Simple conservative confidence intervals for comparing matched proportions," Research Reports 2011:1, University of Gothenburg, Statistical Research Unit, School of Business, Economics and Law.
    • Handle: RePEc:hhs:gunsru:2011_001
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    File URL: http://gupea.ub.gu.se/handle/2077/24353
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    References listed on IDEAS

    as
    1. Marianne Frisen & Eva Andersson & Linus Schioler, 2010. "Evaluation of multivariate surveillance," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(12), pages 2089-2100.
    2. Huey-Miin Hsueh & Jen-Pei Liu & James J. Chen, 2001. "Unconditional Exact Tests for Equivalence or Noninferiority for Paired Binary Endpoints," Biometrics, The International Biometric Society, vol. 57(2), pages 478-483, June.
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    Cited by:

    1. Frisén, Marianne, 2011. "On multivariate control charts," Research Reports 2011:2, University of Gothenburg, Statistical Research Unit, School of Business, Economics and Law.
    2. Frisén, Marianne, 2011. "Inference Principles For Multivariate Surveillance," Research Reports 2011:5, University of Gothenburg, Statistical Research Unit, School of Business, Economics and Law.

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    More about this item

    Keywords

    Binomial variables; Conservative limits; Pivotal statistic;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General

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