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Confidence interval estimation for lognormal data with application to health economics

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  • Zou, Guang Yong
  • Taleban, Julia
  • Huo, Cindy Y.

Abstract

There has accumulated a large amount of literature on confidence interval construction involving lognormal data owing to the fact that many data in scientific inquiries may be approximated by this distribution. Procedures have usually been developed in a piecemeal fashion for a single mean, a single mean with excessive zeros, a difference between two means, and a difference between two differences (net health benefit). As an alternative, we present a general approach for all these cases that requires only confidence limits available in introductory texts. Simulation results confirm the validity of this approach. Examples arising from health economics are used to exemplify the methodology.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:csdana:v:53:y:2009:i:11:p:3755-3764
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    Cited by:

    1. Tang, Nian-Sheng & Luo, Xian-Gui, 2015. "Confidence interval construction for sensitivity difference of two continuous-scale diagnostic tests at the fixed level of two specificities," Statistics & Probability Letters, Elsevier, vol. 97(C), pages 32-40.
    2. Warisa Thangjai & Sa-Aat Niwitpong, 2019. "Confidence Intervals for the Signal-to-Noise Ratio and Difference of Signal-to-Noise Ratios of Log-Normal Distributions," Stats, MDPI, vol. 2(1), pages 1-10, February.
    3. Li, Xinmin & Zhou, Xiaohua & Tian, Lili, 2013. "Interval estimation for the mean of lognormal data with excess zeros," Statistics & Probability Letters, Elsevier, vol. 83(11), pages 2447-2453.
    4. Malekzadeh Ahad & Mahmoudi Seyed Mahdi, 2020. "Constructing a confidence interval for the ratio of normal distribution quantiles," Monte Carlo Methods and Applications, De Gruyter, vol. 26(4), pages 325-334, December.
    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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