Degree Type
Dissertation
Date of Award
1990
Degree Name
Doctor of Philosophy
Department
Statistics
First Advisor
Glen D. Meeden
Abstract
The purpose of this dissertation is to demonstrate the admissibility of some well-known nonparametric tests. It is found that many standard nonparametric tests, such as Mann-Whitney-Wilcoxon test, Fisher-Yates test, Savage test, and median test, which are linear rank tests, are admissible for the two-sample nonparametric testing problem. It turns out that the admissibility of a linear rank test depends on the regression constants not the scores. We also prove that Kruskal-Wallis test is admissible for the one-way layout testing problem;This dissertation is also concerned with finding minimal complete class of statistical decision problems. A new mechanism, called extended stepwise Bayes technique which is a general version of the stepwise Bayes technique, is developed. When the parameter space [theta] is finite and the risk set is closed and bounded from below, a minimal complete class is given using the extended stepwise Bayes technique.
DOI
https://doi.org/10.31274/rtd-180813-12516
Publisher
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
Copyright Owner
Seung-Chun Li
Copyright Date
1990
Language
en
Proquest ID
AAI9110530
File Format
application/pdf
File Size
56 pages
Recommended Citation
Li, Seung-Chun, "Some admissible nonparametric tests and a minimal complete class theorem " (1990). Retrospective Theses and Dissertations. 9857.
https://lib.dr.iastate.edu/rtd/9857
