Abstract
Proposed is a method for approximating the distribution of the ranks, which is the basis for evaluating the power of an arbitrary rank test (see definition of "rank test" in Section 2 below). The method involves, in essence, a transformation of the original distributions, by means of interpolating polynomials, into distributions defined on the unit interval (0, 1). A somewhat detailed discussion is given to the problem of testing the hypothesis that two populations are identical against the alternative hypothesis that they have two specified (non-identical) distributions. Explicit formulas for approximating the distributions of the ranks under the alternative hypothesis are given. A few tables are computed for the case where both distributions are normal with the same variance but different means. The last section is devoted to the investigation of the asymptotic power efficiency of certain rank tests.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.