An improved score interval with a modified midpoint for a binomial proportion

Wei Yu, Xu Guo, Wangli Xu

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

One of the most basic and important problems in statistical inference is the construction of the confidence interval (CI). In this paper, we propose a novel CI for a binomial proportion by modifying the midpoint of the score interval. The proposed modified interval can solve the 'downward spikes' problem of the score interval without enlarging the interval length. Simulation studies are carried out to illustrate the performance of the modified interval. With regard to the criterions of coverage probability, mean absolute error and expected length, our method is competitive among the several commonly used methods for constructing a CI. A real data example is also presented to show the application of our method.

Original language English (US) 1022-1038 17 Journal of Statistical Computation and Simulation 84 5 https://doi.org/10.1080/00949655.2012.738211 Published - May 1 2014

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Midpoint
Proportion
Interval
Confidence interval
Expected Length
Coverage Probability
Statistical Inference
Spike
Simulation Study

All Science Journal Classification (ASJC) codes

• Statistics and Probability
• Modeling and Simulation
• Statistics, Probability and Uncertainty
• Applied Mathematics

Cite this

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An improved score interval with a modified midpoint for a binomial proportion. / Yu, Wei; Guo, Xu; Xu, Wangli.

In: Journal of Statistical Computation and Simulation, Vol. 84, No. 5, 01.05.2014, p. 1022-1038.

Research output: Contribution to journalArticle

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