ORCID Identifier(s)

0000-0001-9725-1014

Graduation Semester and Year

2017

Language

English

Document Type

Dissertation

Degree Name

Doctor of Philosophy in Mathematics

Department

Mathematics

First Advisor

Shan Sun-Mitchell

Abstract

We propose to apply adaptive nonparametric procedures (Hill, Padmanabhan, & Puri, 1988) on 2x2 crossover design with repeated measures. We will derive the test-statistics (based on function of ranks) and find their asymptotic distributions. These test-statistics will be used to test (a) equality of carryover effects; (b) equality of direct treatment effects; (c) equality of carryover effects over time (repeated measures); and (d) equality of direct treatment effects over time (repeated measures), as suggested by Johnson and Grender (Johnson & Grender, 1993). We will be testing these hypotheses using modified versions of the test statistics derived by Johnson and Grender (Johnson & Grender, 1993) and Brunner et al. (Brunner, Domhof, & Langer, 2002) tailored to the underlying distribution of the data. In addition, we provide examples to illustrate the new methods. The methods proposed extend the methods developed by Sun (Sun, 1997) for c-sample problems.

Keywords

Nonparametric, Adaptive, Crossover design, F1-Ld-F1

Disciplines

Mathematics | Physical Sciences and Mathematics

Comments

Degree granted by The University of Texas at Arlington

Included in

Mathematics Commons

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