Publication Date

2007

Document Type

Dissertation/Thesis

First Advisor

Polansky, Alan M.

Degree Name

Ph.D. (Doctor of Philosophy)

Legacy Department

Department of Mathematical Sciences

LCSH

Regression analysis

Abstract

Regression models are used in various subjects such as economics, chemistry and engineering. Suppose a sample is taken from a population in which regression parameters are of interest and the parameter space has been divided into a countable set of possible overlapping subsets. The problem of regions is concerned with which of the subsets contains the true parameter. To solve this problem a measure of confidence is applied to these regions. This paper develops a measure of confidence for regions of a parameter space for regression parameters. Some literature that investigates the problem of regions and the development of the confidence levels are discussed in this paper. We will also look at the asymptotic properties of these measures. Then the methods are applied to examples.

Comments

Includes bibliographical references (pages [84]-85).

Extent

vi, 103 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

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