On some parametric confidence intervals for the mean difference of two populations

Abstract

We evaluated several parametric estimators for estimating the difference in means of two populations. Estimators include the ordinary-t, two versions proposed by Welch (1938) and Satterthwaite (1946), three versions proposed by Zhou and Dinh (2005), Johnson and Hall. A simulation study has been made to compare the performance of the selected estimators. Some real-life business examples have been considered to illustrate the application of the methods. Based on our findings, some possible good parametric interval estimators have been proposed for future researchers, applied workers and other professionals.