The Relative Potency of Two Drugs Using the Confidence Interval for Ratio of Means of Two Normal Populations with Unknown Coefficients of Variation

Authors

Warisa Thangjai, Department of Statistics, Faculty of Science, Ramkhamhaeng University, Bangkok 10240, ThailandFollow
Sa-Aat NiwitpongFollow

Author Country (or Countries)

Thailand

Abstract

In the paper, the relative potency of two drugs using confidence intervals for the ratio of two means of normal distributions with unknown coefficients of variation is considered. The new confidence intervals were constructed using the large sample approach, the method of variance estimates recovery (MOVER) approach, and then compared with the existing approach: the generalized confidence interval (GCI) approach of Lee and Lin [1]. A simulation study showed that the large sample approach can be used to estimate the confidence interval for the ratio of normal means with unknown coefficients of variation when the value of σY /σX is small otherwise the GCI approach is recommended when the value of σY/σX is large. Applications to drug testing and carboxyhemoglobin test are included.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110101

Recommended Citation

Thangjai, Warisa and Niwitpong, Sa-Aat (2022) "The Relative Potency of Two Drugs Using the Confidence Interval for Ratio of Means of Two Normal Populations with Unknown Coefficients of Variation," Journal of Statistics Applications & Probability: Vol. 11: Iss. 1, Article 1.
DOI: http://dx.doi.org/10.18576/jsap/110101
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss1/1