THE FIRST MEDIAN TEST: A TWO-SIDED VERSION OF THE CONTROL MEDIAN TEST.
Abstract
Consider two independent samples of mutually independent observations, s sub 1...x sub m and y sub1...y sub n respectively from F(x) and G(x). Let v be the number of x's occurring before the median of the y sample and u be the number y's occurring before the median of the x sample. Kimball, Burnett and Doherty proposed a control median test based on it (where the x sample is from the control group). In the present paper a two-sided version of this test is proposed, based on u if the median of the x sample precedes the median of the y sample, as otherwise, the test is based on v. The asymptotic distribution theory of both tests is developed under both the null and alternative hypotheses. The expected time to reach a decision is also discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1965
- Accession Number
- AD0610955
Entities
People
- Joseph L. Gastwirth
Organizations
- Johns Hopkins University