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
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Boodhwani, Afshan, "NONPARAMETRIC ADAPTIVE DISTRIBUTION-FREE PROCEDURE FOR CROSSOVER DESIGN WITH REPEATED MEASURES" (2017). Mathematics Dissertations. 217.
https://mavmatrix.uta.edu/math_dissertations/217
Comments
Degree granted by The University of Texas at Arlington