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A note on confidence interval estimation for a linear function of binomial proportions

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  • Zou, Guang Yong
  • Huang, Wenyi
  • Zhang, Xiaohe

Abstract

The Wilson score confidence interval for a binomial proportion has been widely applied in practice, due largely to its good performance in finite samples and its simplicity in calculation. We propose its use in setting confidence limits for a linear function of binomial proportions using the method of variance estimates recovery. Exact evaluation results show that this approach provides intervals that are narrower than the ones based on the adjusted Wald interval while aligning the mean coverage with the nominal level.

Suggested Citation

  • Zou, Guang Yong & Huang, Wenyi & Zhang, Xiaohe, 2009. "A note on confidence interval estimation for a linear function of binomial proportions," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 1080-1085, February.
    • Handle: RePEc:eee:csdana:v:53:y:2009:i:4:p:1080-1085
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    References listed on IDEAS

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    1. Price, Robert M. & Bonett, Douglas G., 2004. "An improved confidence interval for a linear function of binomial proportions," Computational Statistics & Data Analysis, Elsevier, vol. 45(3), pages 449-456, April.
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    Cited by:

    1. Niu, Cuizhen & Guo, Xu & McAleer, Michael & Wong, Wing-Keung, 2018. "Theory and application of an economic performance measure of risk," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 383-396.
    2. Klingenberg, Bernhard, 2012. "Simultaneous score confidence bounds for risk differences in multiple comparisons to a control," Computational Statistics & Data Analysis, Elsevier, vol. 56(5), pages 1079-1089.
    3. A. Martín Andrés & M. Álvarez Hernández, 2015. "Simultaneous inferences: new method of maximum combination," Statistical Papers, Springer, vol. 56(4), pages 1099-1113, November.
    4. Zou, Guang Yong & Taleban, Julia & Huo, Cindy Y., 2009. "Confidence interval estimation for lognormal data with application to health economics," Computational Statistics & Data Analysis, Elsevier, vol. 53(11), pages 3755-3764, September.
    5. Zou, G.Y., 2010. "Confidence interval estimation under inverse sampling," Computational Statistics & Data Analysis, Elsevier, vol. 54(1), pages 55-64, January.

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