Approximate Confidence Interval for the Ratio of Normal Means with a Known Coefficient of Variation

Conference paper
First Online:
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9376)

Abstract

An approximate confidence interval for the ratio of normal population means with a known coefficient of variation is proposed. This has applications in the area of bioassay and bioequivalence when the scientist knows the coefficient of variation of the control group. The proposed confidence interval is based on the approximate expectation and variance of the estimator by Taylor series expansion. A Monte Carlo simulation study was conducted to compare the performance of the proposed confidence interval with the existing confidence interval. Simulation results show that the proposed confidence interval performs as well as the existing one in terms of coverage probability and expected length. However, the approximate confidence interval is very easy to calculate compared with the exact confidence interval.

Keywords

Interval estimation Central tendency Standardized measure of dispersion Coverage probability Expected length 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Mathematics and Statistics, Faculty of Science and TechnologyThammasat UniversityPathumthaniThailand

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