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政大機構典藏 > 商學院 > 統計學系 > 期刊論文 > Item 140.119/142871

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/142871

Title:	Logarithmic confidence estimation of a ratio of binomial proportions for dependent populations
Authors:	楊素芬 Yang, Su-Fen Kokaew, Angkana;Bodhisuwan, Winai;Volodin, Andrei
Contributors:	統計系
Keywords:	Confidence estimation;ratio of binomial proportions;direct binomial sampling;asymptotic confidence limits;logarithmic confidence interval
Date:	2023-06
Issue Date:	2022-12-27 11:05:56 (UTC+8)
Abstract:	This article investigates the logarithmic interval estimation of a ratio of two binomial proportions in dependent samples. Previous studies suggest that the confidence intervals of the difference between two correlated proportions and their ratio typically do not possess closed-form solutions. Moreover, the computation process is complex and often based on a maximum likelihood estimator, which is a biased estimator of the ratio. We look at the data from two dependent samples and explore the general problem of estimating the ratio of two proportions. Each sample is obtained in the framework of direct binomial sampling. Our goal is to demonstrate that the normal approximation for the estimation of the ratio is reliable for the construction of a confidence interval. The main characteristics of confidence estimators will be investigated by a Monte Carlo simulation. We also provide recommendations for applying the asymptotic logarithmic interval. The estimations of the coverage probability, average width, standard deviation of interval width, and index H are presented as the criteria of our judgment. The simulation studies indicate that the proposed interval performs well based on the aforementioned criteria. Finally, the confidence intervals are illustrated with three real data examples.
Relation:	Journal of Applied Statistics, Vol.50, No.8, pp.1750-1771
Data Type:	article
DOI 連結:	https://doi.org/10.1080/02664763.2022.2041566
DOI:	10.1080/02664763.2022.2041566
Appears in Collections:	[統計學系] 期刊論文

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