Date of Award
2016
Degree Name
Mathematics
College
College of Science
Type of Degree
M.A.
Document Type
Thesis
First Advisor
Laura Adkins
Second Advisor
Avishek Mallick
Third Advisor
Karen Mitchell
Abstract
Linear regression models involving interaction can use the difference of slopes test to compare slopes for various situations. We will be generalizing this process to develop a procedure to compare rates in a Poisson regression model, allowing us to consider unbounded count data as opposed to continuous data. We will apply this process to an educational data set from a sample of students located in two different Los Angeles high schools. Our model will include a three-way interaction and address the following questions:
• Does language ability impact the relationship between math ability and attendance in the same way for males and females?
• Does gender impact the relationship between math ability and attendance in the same way for students with high language ability versus students with low language ability?
Subject(s)
Poisson processes.
Poisson distribution.
Sex differences in education.
Recommended Citation
Bierhals, Melinda, "A Generalization of the Difference of Slopes Test to Poisson Regression with Three-Way Interaction" (2016). Theses, Dissertations and Capstones. 1011.
https://mds.marshall.edu/etd/1011
