Abstract
AbstractThis paper is concerned with testing for umbrella alternatives in a k‐sample location problem when the underlying populations have possibly different shapes. Following CHEN and WOLFE (1990b), rank‐based modifications of the HETTMANSPERGER‐NORTON (1987) tests are considered for both the settings where the peak of the umbrella is known and where it is unknown. The proposed procedures are exactly distribution‐free when the continuous populations are identical with any shape. Moreover, the modified test for peak‐known umbrella alternatives remains asymptotically distribution‐free when the continuous populations are assumed to be symmetric, even if they differ in shapes. Comparative results of a Monte Carlo study are presented.
Sign-in/Register to access full text options 
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.
