Abstract
Conditional properties of the usual confidence intervals for the situations referred to in the title are investigated. It is shown that there can be no negatively biased relevant selections in a sense which implies that there can be no negatively biased relevant subsets in the sense of Buehler (1959). The intuitive meaning of these results is that there is no way of betting that the quoted confidence levels are too high which yields positive expected return for all parameter values. In addition it is reported that the coverage probabilities for the Behrens-Fisher intervals are always larger than the nominal significance level would suggest. Thus the Behrens-Fisher and Student's $t$ procedures can be considered to be conservative.
Published Version (
Free)
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.
