Abstract
Abstract In this paper, we propose a two-stage sampling method ( Stein, 1945 ) for making inferences on the means of two normal populations with heteroscedastic variances which is usually referred to as the Behrens–Fisher problem ( Fisher, 1935 , Fisher, 1941 ). The two-stage method can be used to control Type-II error and the length of confidence interval conditional on a specified Type-I error or confidence level. Simulation results show that the two-stage method improves the powers of the tests and its performance exhibits superior robustness properties over the existing single-stage methods. Moreover, our method can be easily extended to compare multiple populations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
