Mathematics Commons^™

Defining Characteristics That Lead To Cost-Efficient Veteran Nba Free Agent Signings, David Mccain

Honors Projects in Mathematics

Throughout the history of the NBA, decisions regarding the signing of free agents have been riddled with complexity. Franchises are tasked with finding out what players will serve as optimal free agent signings prior to seeing them perform within the framework of their team. This study hypothesizes that the adequacy of an NBA free agent signing can be modeled and predicted through the implementation of a machine learning model. The model will learn the necessary information using training and testing data sets that include various player biometrics, game statistics, and financial information. The application of this machine learning model will …

Changing Nfl Playoff Overtime Rules To Create Equal Opportunities To Win A Game, Matthew Silvia

Honors Projects in Mathematics

The NFL has attempted to create fair overtime rules over the course of the past decade; however, this study is interested in determining what playoff overtime rule (or rules) could the NFL implement to result in outcomes where both teams have a relatively equal chance of winning a game. This study aims to find which overtime rules work best at minimizing the differences between teams who possess the ball first versus teams that kick the ball off to start an overtime period. By collecting various NFL statistics from ESPN.com and FantasyOutsiders.com, this study hopes to run multiple simulations of different …

Match Results And The Equity Value Of Publicly Traded Soccer Teams, Ryan Bebyn

Honors Projects in Mathematics

This study aims to examine the relationship between the match performance of publicly traded European soccer clubs and their stock price returns. It is important for investors, owners, and fans to understand how competitive factors both on and off the field affect the equity value of European club soccer teams. Competitive factors such as basic match results (Win, Loss, or Draw), rivalry matches, and international matches will be evaluated against the daily stock prices of publicly traded soccer clubs. A sample of teams traded on public exchanges will be used to analyze the effects of their matches on the daily …

How The Perceived Value Of Education, Parental Influences, And Students' Perceived Success Affect Post-Graduate Decisions, Valerie Blanchard

Honors Projects in Mathematics

While technical education has been enhanced in many ways over the past few decades, college is still the preferred post-graduate path for many students and is the societal norm. This study will analyze the value that students view in their career path that leads them to make their post-graduate decisions. The goal of this research is to better understand why students pursue college and how these decisions come to be with specific attention paid to the impact of gender, interests, and self-efficacy. This understanding can educate others about the gravity of social norms and can start conversations about how to …

Under Pressure: A Case Study Of The Effects Of External Pressure On Mlb Players Using Twitter Sentiment Analysis, Jonathan Huntley

Honors Projects in Mathematics

Performance under pressure and psychological momentum are well-documented topics in sports psychology, but most research focuses on “in-game” pressure. This study views pressure more broadly to examine how the external pressure of fans, quantified using the sentiment of tweets mentioning the players, can affect how MLB players perform. Although external pressure is intangible, it can impact a player’s psyche and performance. This investigation focuses on players Chris Sale and David Price. A new process was developed leveraging the Vader package in Python that can generate tweet sentiment to compare to several performance metrics from Baseball Reference. Results proved to be …

Quantifying Eco-Friendliness Of Plastic, Paper, And Reusable Bags, Leah Ryan

Honors Projects in Science and Technology

The plight of the consumer in regards to making eco-conscious decisions is growing as concerns regarding the environment increase. This study was conducted in an effort to give consumers a tool to combat some of this issue and compare the types of shopping bags they use in terms of eco-friendliness. Research conducted in this avenue thus far contains convoluted conclusions, all made with consideration of some variables, but not all. This purpose of this study therefore lay in trying to give consumers a standardized tool to compare bag types that considered variables across all stages of a bags’ life (pre-use, …

Millennials' Retirement Struggle: The Interaction Between Student Loans, Financial Decisions, And Financial Literacy., Rebecca Michaud

Honors Projects in Finance

As millennials grow older and begin their careers in the workforce, saving for retirement begins to become an important part of spending. This paper analyzes a variety of factors and challenges that impact an individual’s retirement savings. This thesis ultimately looks to determine whether the driving force for the general inadequacy of retirement savings is student loan debt, financial decision making, or both. Through both research and survey responses, this thesis will also look at whether a public policy that removes a certain percentage of student loan repayment obligations will have any impact on the amount that young workers are …

Prediction Of Individual Income: A Machine Learning Approach, Michael Matkowski

Honors Projects in Economics

The use of machine learning models to improve prediction problems and handle increasingly large datasets is a rising trend in economics. Prediction plays a particularly important role in applied economics because it provides critical insights to assess market outcomes. This study builds on previous literature to showcase the relative power of these modelling methodologies in economics through the prediction of income. This research utilizes data from the Current Population Survey from 2017 – 2020, containing 467,811 observations and 264 variables. 2017-2018 data served as training data for the models and 2019-2020 served as data for the two testing sets. The …

The Decline Of The Mid-Range Jump Shot In Basketball: A Study Of The Impact Of Data Analytics On Shooting Habits In The Nba, Shawn Kilcoyne

Honors Projects in Mathematics

The purpose of this thesis paper is to investigate the strategic shift away from the mid-range jump shot in basketball over the past decade. This paper will cover the rationale for the decline of the mid-range, as well as the general impact of data analytics on the way the game of basketball is played at the professional level. Following a review of the existing literature relating to the use of analytics in the NBA, this paper will analyze the differences in shooting habits between two seven-season periods. Data visualization tools, including boxplots, statistical trends, and distribution plots, will be used …

Communicating In Crisis Situations, Rick Gorvett, Chris Morse, Julie Volkman

Communication Faculty Journal Articles

Communicating technical information, especially in a crisis situation and particularly when the audience does not share the technical background, is a challenge that actuaries frequently face. This essay describes the dynamics and issues involved in crisis communications and provides some recommendations for actuaries confronting such a situation.

Under The Influence, Leonardo Cavicchio

Honors Projects in Mathematics

The purpose of this Honors Capstone entitled Under the Influence is to assess the validity of claims concerning the possible influence of roommates on one another, concerning alcohol on college campuses. This will be done by examining data collected in a prior study conducted over a two-year period. This analysis will focus on how alcohol consumption changes in correlation with the personality factors of roommates over an extended period of time. This secondary analysis of de-identified data will focus on primary and secondary subquestions. The primary question that will be addressed with the data set collected from the University of …

The Value Of A Win: Analysis Of Playoff Structures, Matthew Orsi

Honors Projects in Mathematics

The purpose of this Senior Capstone project is to analyze the distinctions between existing playoff systems. In particular, we are looking to analyze the differences between the standard single-elimination tournament (which the NCAA has used since the inception of the tournament) and other potential options: double-elimination and multiple game series. Popular sports such as Major League Baseball and the National Basketball Association all use multiple game series for their playoffs. This project will use probability theory and simulation to determine the likelihood of different seeds winning a championship as well as the expected number of victories by seed in each …

Size Variables In Audit Fee Models: An Examination Of The Effects Of Alternative Mathematical Transformations, Charles Cullinan, Hui Du, Xiaochuan Zheng

Accounting Department Faculty Journal Articles

We consider the mathematical transformations used for assets of different valuation complexity in audit fee models. These mathematical transformations (such as logs and square roots) relate to the non-linear relationship between client size and audit fees. We use closed-end mutual fund audits to examine this question because virtually all fund assets are reported at fair value. We find that more complexly valued assets are less likely to follow the traditional log transformation because the presence of these assets has a stronger relationship with audit fees that is not fully captured by the coefficient on the logged variable alone. The significance …

What Is The True Cost To Stay In The Hospital?, Samantha Alicandro

Honors Projects in Mathematics

Currently, the unfortunate reality that receiving diverse health procedures can be extremely expensive is widely acknowledged and woefully accepted. However, have you inquired or been curious about the specific factors that influence the cost per day expensed by a hospital? Through examination, investigation, and evaluation operating SAS Enterprise Guide, SAS Enterprise Miner and Tableau I have attempted to arrive at a conclusion for this very question. Utilizing a 1.5 million row data set provided by Rhode Island, for the years 2003-2013, I analyzed the assorted elements conceivably bearing impact on the cost per day at a hospital. Regressions, decision trees, …

Does Academic Performance Predict Workplace Productivity?, Jodie-Gaye Hunter

Honors Projects in Economics

This research examines if college GPA affects productivity and compensation in the workplace. It uses data collected from a survey of approximately 23,000 Bryant University graduates in different stages of their career. About 10 percent of the alumni surveyed completed the survey. The econometric model used in this study allows estimating the effect of GPA on income after controlling for various demographic and socioeconomic variables, including education, major, occupation, gender, among others. The empirical work provides evidence that GPA has a positive and statistically significant impact on workplace productivity for females, but GPA seems to be a weaker predictor of …

The Effect Of Tommy John (Ucl) Reconstructive Surgery On A Pitcher’S Arm And Career Progression, Jack Grant

Honors Projects in Mathematics

Injuries have plagued professional athletes since their sports have been in existence. The examination of how teams can diminish the side effects of the injuries en route to a speedy recovery remains an evolving process and a topic of concern for all. Injury preventative tactics have been implemented by coaching staffs and various training personnel. Major League Baseball (MLB) pitchers are noticing an increase in the number of surgeries performed each year. The tearing of the ulnar collateral ligament (UCL) in the elbow has become a predominant injury among pitchers in the MLB. Reconstructive surgery, also known as Tommy John …

Predictions Of Success In The Actuarial Major, Jessica Soojian

Honors Projects in Mathematics

This study finds predictive factors that have a significant effect on the ending Mathematics/Actuarial GPA of Actuarial majors at Bryant University. This was done to add clarity to incoming students for what it takes to do well in the actuarial major. There were 266 subjects consisting of Bryant students that graduated between the years 2009 and 2015. The data was received in the form of final transcripts upon graduation for these students. Through manipulation of these transcripts, GPAs were calculated for Mathematics/Actuarial, English/Literary Cultural Studies, History/Politics, Economics, Science, Social Sciences, Computer Information Systems, Finance, Accounting, Management, and Marketing. These GPAs …

Possible Bias In Asset Valuations: An Application Of The Fraud Risk Triangle To Divorce Cases, Jennifer Tomasetti

Honors Projects in Accounting

No abstract provided.

Does Being Bilingual Make You Better At Math?, Enxhi Elezi

Honors Projects in Mathematics

The purpose of this study is to examine if there is any relationship between being bilingual, defined as speaking your native language at home and another language in school, and your mathematical ability. Data from the National Longitudinal Study of Adolescent Health was used to compare the math grades of students who were not born in the US and speak English, Spanish, or Other at home. Also, data from the Bryant University first year students was used to test if students who speak a different language at home have a higher mathematical average than their monolingual peers. Results show that …

Mathematical Modeling Of Trending Topics On Twitter, Jonathan S. Skaza

Honors Projects in Mathematics

Created in 2006, Twitter is an online social networking service in which users share and read 140-character messages called Tweets. The site has approximately 288 million monthly active users who produce about 500 million Tweets per day. This study applies dynamical and statistical modeling strategies to quantify the spread of information on Twitter. Parameter estimates for the rates of infection and recovery are obtained using Bayesian Markov Chain Monte Carlo (MCMC) methods. The methodological strategy employed is an extension of techniques traditionally used in an epidemiological and biomedical context (particularly in the spread of infectious disease). This study, which addresses …

Internet Radio: An Analysis Of Pandora And Spotify, Corinne Loiacono

Honors Projects in Mathematics

Unlike traditional stations, internet radio stations try to complete the task of effectively

identifying the individual in their audience and then cater to their musical taste. The

effectiveness of these stations can be analyzed through popular music customization mediums,

such as Pandora and Spotify. This paper seeks to analyze Pandora and Spotify and research

why they are such popular mediums for their users and how effective each site is in satisfying

a need for personalized radio. Specifically, what medium used for internet radio best caters

to the needs of users in terms of website features (extent of personalization and social …

The Impact Of Professional Sports Franchises On Local Economies, Jeffrey Pierro

Honors Projects in Mathematics

There is no doubt that professional sports franchises and stadiums generate a significant amount of economic activity, but is the impact on the local economy positive, negative, or neutral? Studies have shown that, while franchises can give the economy a boost in the short term, there are little to no long-term positive effects. This capstone will examine the trend in public financing of stadiums, look at the impact of stadium location, explore the factors of the economy that are impacted by professional sports franchises, and determine if the effects vary by sport or by region. Several major case studies will …

Actual Vs. Perceived Value Of Players Of The National Basketball Association, Stephen Righini

Honors Projects in Mathematics

Over the past few decades the media has played an increasingly large role in shaping how player effectiveness in the National Basketball Association (NBA) is perceived. Several factors have caused fans, announcers, and even NBA team management to have unintentional bias toward certain players. This study aims to utilize various formulas created by NBA statisticians, called Player Raters, to identify how efficient each NBA player actually is in comparison to the rest of the league. Data from the past 12 seasons was compiled and six Player Raters were used to place values on every NBA player since the 2000-2001 season. …

Time Series Data Mining: A Retail Application Using Sas Enterprise Miner, Daniel Hebert

Honors Projects in Mathematics

Modern technologies have allowed for the amassment of data at a rate never encountered before. Organizations are now able to routinely collect and process massive volumes of data. A plethora of regularly collected information can be ordered using an appropriate time interval. The data would thus be developed into a time series. With such data, analytical techniques can be employed to collect information pertaining to historical trends and seasonality. Time series data mining methodology allows users to identify commonalities between sets of time-ordered data. This technique is supported by a variety of algorithms, notably dynamic time warping (DTW). This mathematical …

A Study Of Women Working In The Actuarial Field, Jillian Emberg

Honors Projects in Mathematics

The goal of this project is to examine how women fit into the actuarial career path and how cultural expectations, biological factors, and personal aspirations affect their experiences in the field. Dramatic changes in the profession have occurred since its emergence in the nineteenth century to become more welcoming to women who choose to enter the profession. However, despite the equalizing demographic shifts of the field, it is still a male-dominated profession. This paper attempts to analyze why some of the changes in the demographics of the field have occurred as well as explain what factors contribute to women’s underrepresentation …

Are Nfl Athletes Receiving Over-Valued Contracts?, Jason Scott

Honors Projects in Mathematics

Many sport research studies have been conducted that examine the performance of professional athletes and their corresponding effect on franchise winning percentages, team revenues, economic repercussions, performance-based compensation, and much more. Research in the National Football League, however, has been found to be somewhat limited due to the numerous possible positions and resulting vastness of position-specific variables. The NFL lockout in 2011 caused many to question the specific relationship between professional athlete performance and salary distribution. This study’s purpose was to find a collection of variables with which all NFL athletes could be compared, and to identify relationships existing between …

Cost Of Winning: What Contributing Factors Play The Most Significant Roles In Increasing The Winning Percentage Of A Major League Baseball Team?, Patrick Tartaro

Honors Projects in Finance

Over the past decade, discussions of competition disparity in Major League Baseball have been brought to the forefront of many debates regarding the sport. The belief that "large market" teams such as the New York Yankees buy their championships through acquiring star talent at high prices has become a common belief of many followers of the game. This research will answer the pressing question, "What are the most significant factors that correlate to a Major League Baseball Team’s winning percentage?”. I used stepwise regression to identify factors significantly related to winning percentage. Interestingly enough, payroll is not a significant factor …

A Multiple Regression Analysis Of Personality’S Impact On Actuarial Exam Performance, Matthew Ciaffone

Honors Projects in Mathematics

Existing literature indicates that there is some connection between personality and both academic and work-related performance. The author's intent for the research described herein is to explore this connection for students majoring in actuarial mathematics with regard to their performance on actuarial certification exams. Specifically, using the five-factor model of personality, the author seeks to predict the number of attempts required to pass the first two exams in the process (Exam 1/P - probability; Exam 2/FM - financial mathematics) using measures of the five dimensions of the five-factor model (openness to experience, conscientiousness, extraversion, agreeableness, and emotional stability) through regression …

Factors Related To Math Performance And Potential Benefits Of One-On-One Instruction, Amanda Zagame

Honors Projects in Mathematics

This fall 2010 study of Bryant University students enrolled in freshman-level math courses considered factors related to college-level math performance, including gender, math self-efficacy, math anxiety, and utilization of professors’ office hours and/or tutoring center services. Female students at Bryant reported lower levels of math self-efficacy and higher levels of math anxiety, both of which research has shown to be negatively correlated with test scores. The use of one-on-one instruction was expected to provide a potential counterweight to this equation. Results from the 287 initial and 229 final surveys administered in this study did not support this hypothesis. This phenomenon …

Determining The Success Of Ncaa Basketball Teams Through Team Characteristics, Raymond Witkos

Honors Projects in Mathematics

Every year much of the nation becomes engulfed in the NCAA basketball postseason tournament more affectionately known as “March Madness.” The tournament has received the name because of the ability for any team to win a single game and advance to the next round. The purpose of this study is to determine whether concrete statistical measures can be used to predict the final outcome of the tournament. The data collected in the study include 13 independent variables ranging from the 2003-2004 season up until the current 2009-2010 season. Different tests were run in an attempt to achieve the most accurate …