Department of Mathematics, Applied Mathematics and Statistics

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Student Presentations

PhD Thesis Defenses

Spring 2017

MS Thesis Defenses

Fall 2016

Senior Capstone Presentations

Fall 2016

Wednesday, Dec. 7, 2016
1:45 p.m. in Yost 306
Student: Yiru Zhong
Advisor: Danhong Song

Title: Familywise Discovery Rate and False Discovery Rate

Abstract: This project compares the Bonferroni correction, which controls family-wise discovery rate (FWER) in multiple testing and the Benjamini-Hochberg procedure (BH method), which controls false discovery rate (FDR). The goal of this project is to look at the cons of FWER and reasons for FDR’s growing popularity. As this project goes on, different distributions of p-values under two conditions, all nulls are true, and not all nulls are true, are studied. This will affect the ways to choose the upper bound q when using BH method.

Wednesday, Dec. 7, 2016
2:15 p.m. in Yost 306
Student: Enyi Lian
Advisor: Jenný Brynjarsdóttir

Title: Spatial Analysis About Soil Moisture

Abstract: This senior project applied methods from spatial statistics to analysis spatial relationship about soil moisture between two random locations in each block. Data is collected from University Farm. The presentation will show some basic ideas used in spatial analysis, such as variogram and kriging.

Monday, Dec. 12, 2016
1:00-3:30 p.m. in Yost 306

Student: Grace Cammarn
Advisor: Patti Williamson

Title:  Assessing the Public Health of 50 U.S. Cities

Abstract:  In April 2016, the Aetna Foundation announced the start of the Healthiest Cities & Counties Challenge. In the Challenge, 50 cities and counties would be competing to improve the public health of their targeted areas. I will simulate the Healthiest Cities & Counties Challenge by selecting 50 random U.S. cities and comparing different public health metrics in order to determine what factors lead to healthier cities. Public health, the science of protecting and improving the health of communities through policies and the promotion of at-home healthy lifestyles is not an easy thing to measure. There is no single index or measure that indicates the overall health of a community. Public health metrics must cover areas of personal health behaviors, the built environment, socio-economic factors, community safety, and other environmental exposures. My simulation revealed that at present, there is not a robust data source that would allow the public health of different U.S. cities to be accurately compared. I will recommend that publicly available public health data be used on a region-by-region basis, not as comparison metrics. I will also recommend that U.S. census procedures inquire about more public health related topics.

Student: Jenna Ehrle
Advisor: Patti Williamson

Title:  Women’s Rights and Economic Performance

Abstract: This project analyzes a merged data set of levels of women’s rights in different countries in 2014 from the Organization for Economic Co-operation and Development and GDP per capita of different countries in the years 2005-2015 from The World Bank. The goal of this project is to explore the connection between women’s rights and economic performance and development, hopefully to find that higher levels of women’s rights have a positive effect on economic performance. This project utilizes the application of exploratory data analysis, linear regression, and additional data analysis techniques.

Student: Yinger Fan
Advisor: Patti Williamson

Title: Investigation on the Correlations between HIV, Literacy Rate, and Socioeconomic Status

Abstract:  Simple regression models and chi-square tests were used to investigate the relationships between HIV, literacy rate, and socioeconomic status. Data are collected from demographic and health surveys, EFA global reports, AIDS indicator surveys, and ready-made research on wealth and poverty linking to HIV in Africa. R software was used in the analysis. The relationship between literacy rate and HIV prevalence in several African countries was investigated by using simple linear regression. The relationship between socioeconomic status and HIV prevalence in 12 African countries was investigated using the chi-square test.

Thursday, Dec. 15, 2016
11:00 a.m. in Yost 306
Student: John Kaushagen
Advisors: Wanda Strychalski and Longhua Zhao

Title: A Numerical Investigation of Lagrangian Coherent Structures in Fluid Flow

Abstract: Lagrangian Coherent Structures are useful for determining the behavior of dynamical systems, and in particular they are useful for separating fluid flow into distinct regions. LCS has been used to study flow patterns in blood flow, flow past an airfoil, and ocean currents. However, rigorous numerical testing and validation of existing software packages, such FlowVC is lacking. In this work, we test the numerical convergence of the numerical methods used in the FlowVC software to determine LCS. We perform various convergence tests to determine the validity of data output used to defined the coherent structures. Specifically we test the following incompressible velocity fields: uniform fluid flow, vortex flow, double gyre flow, and flow past a sphere. Results show that the methods do not converge due to large numerical error on the boundary. Therefore, we recommend using LCS on a smaller domain away from the physical boundary of the system where we show first convergence in space can be achieved.

11:30 a.m. in Yost 306
Student: Tong Zhao
Advisor: Mark Meckes

Title: Two characterizations of inverse-positive matrices

Abstract: A matrix M is called inverse-positive if M is non-singular and the inverse of M has all non-negative entries. I will talk about two characterizations of inverse-positive matrices and examples of them.

For a list of past student presentations, please click here.

Page last modified: December 14, 2016