Health research often gives rise to data that follow lognormal distributions. In two sample situations, researchers are likely to be interested in estimating the difference or ratio of the population means. Several methods have been proposed for providing confidence intervals for these parameters. However, it is not clear which techniques are most appropriate, or how their performance might vary. Additionally, methods for the difference of means have not been adequately explored. We discuss in the present article five methods of analysis. These include two methods based on the log-likelihood ratio statistic and a generalized pivotal approach. Additionally, we provide and discuss the results of a series of computer simulations. Finally, the techniques are applied to a real example.
Statistical Methodology | Statistical Theory
Chen, Yea-Hung and Zhou, Xiao-Hua, "Interval Estimation for the Ratio and Difference of Two Lognormal Means" (December 2005). UW Biostatistics Working Paper Series. Working Paper 269.