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

Language

en

Proquest ID

AAI9110530

File Format

application/pdf

File Size

56 pages

Share

COinS