Two-Stage Procedure of Fixed-Width Confidence Intervals for the Risk Ratio
Hokwon Cho ()
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Hokwon Cho: University of Nevada, Las Vegas
Methodology and Computing in Applied Probability, 2019, vol. 21, issue 3, 721-733
Abstract:
Abstract A two-stage procedure is considered for obtaining fixed-width confidence intervals and optimal sample sizes for the risk ratio of two independent binomial proportions. We study desirable properties of the proposed estimator based on a bias-corrected maximum likelihood estimator (MLE). The two-stage procedure provides flexible sampling strategies, thus can be more advantageous in decision-making as well as in inference for the risk ratio. As a result, the proposed procedure can be a remedy not only for asymptotic consistency, but also for drawbacks of coverage to the nominal probability of the purely sequential method. To investigate large-sample properties of the proposed procedure, first-order asymptotic expansions are obtained. Through Monte Carlo experiments, we examine finite sample behavior for various scenarios of samples for illustrations.
Keywords: Risk ratio; Bias correction; Fixed-width confidence intervals; Two-stage sampling; First-order asymptotics; Consistency; 62L12; 62F25 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:metcap:v:21:y:2019:i:3:d:10.1007_s11009-019-09717-5
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DOI: 10.1007/s11009-019-09717-5
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