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Assessing the Economic Prosperity of Persons with Disabilities in American Cities

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We seek a comprehensive measurement for the economic prosperity of persons with disabilities. We survey the current literature and identify the major economic indicators used to describe the socioeconomic standing of persons with disabilities. We then develop a methodology for

We seek a comprehensive measurement for the economic prosperity of persons with disabilities. We survey the current literature and identify the major economic indicators used to describe the socioeconomic standing of persons with disabilities. We then develop a methodology for constructing a statistically valid composite index of these indicators, and build this index using data from the 2014 American Community Survey. Finally, we provide context for further use and development of the index and describe an example application of the index in practice.

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2017-05

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A Statistical Framework for Detecting Edges from Noisy Fourier Data with Multiple Concentration Factors

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The concentration factor edge detection method was developed to compute the locations and values of jump discontinuities in a piecewise-analytic function from its first few Fourier series coecients. The method approximates the singular support of a piecewise smooth function using

The concentration factor edge detection method was developed to compute the locations and values of jump discontinuities in a piecewise-analytic function from its first few Fourier series coecients. The method approximates the singular support of a piecewise smooth function using an altered Fourier conjugate partial sum. The accuracy and characteristic features of the resulting jump function approximation depends on these lters, known as concentration factors. Recent research showed that that these concentration factors could be designed using aexible iterative framework, improving upon the overall accuracy and robustness of the method, especially in the case where some Fourier data are untrustworthy or altogether missing. Hypothesis testing methods were used to determine how well the original concentration factor method could locate edges using noisy Fourier data. This thesis combines the iterative design aspect of concentration factor design and hypothesis testing by presenting a new algorithm that incorporates multiple concentration factors into one statistical test, which proves more ective at determining jump discontinuities than the previous HT methods. This thesis also examines how the quantity and location of Fourier data act the accuracy of HT methods. Numerical examples are provided.

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Date Created
2016-05

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Player Optimization in the National Football League: Creating a Winning Franchise

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The NFL is one of largest and most influential industries in the world. In America there are few companies that have a stronger hold on the American culture and create such a phenomena from year to year. In this project

The NFL is one of largest and most influential industries in the world. In America there are few companies that have a stronger hold on the American culture and create such a phenomena from year to year. In this project aimed to develop a strategy that helps an NFL team be as successful as possible by defining which positions are most important to a team's success. Data from fifteen years of NFL games was collected and information on every player in the league was analyzed. First there needed to be a benchmark which describes a team as being average and then every player in the NFL must be compared to that average. Based on properties of linear regression using ordinary least squares this project aims to define such a model that shows each position's importance. Finally, once such a model had been established then the focus turned to the NFL draft in which the goal was to find a strategy of where each position needs to be drafted so that it is most likely to give the best payoff based on the results of the regression in part one.

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2015-05

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Arizona Clean Elections: The Impact of Publicly Financed Campaigns on Representation in the Legislature

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Campaign finance regulation has drastically changed since the founding of the Republic. Originally, few laws regulated how much could be contributed to political campaigns and who could make contributions. One by one, Congress passed laws to limit the possibility of

Campaign finance regulation has drastically changed since the founding of the Republic. Originally, few laws regulated how much could be contributed to political campaigns and who could make contributions. One by one, Congress passed laws to limit the possibility of corruption, for example by banning the solicitation of federal workers and banning contributions from corporations. As the United States moved into the 20th Century, regulations became more robust with more accountability. The modern structure of campaign finance regulation was established in the 1970's with legislation like the Federal Election Campaign Act and with Supreme Court rulings like in Buckley v. Valeo. Since then, the Court has moved increasingly to strike down campaign finance laws they see as limiting to First Amendment free speech. However, Arizona is one of a handful of states that established a system of publicly financed campaigns at the state-wide and legislative level. Passed in 1998, Proposition 200 attempted to limit the influence of money politics. For my research I hypothesized that a public financing system like the Arizona Citizens Clean Elections Commission (CCEC) would lead to Democrats running with public funds more than Republicans, women running clean more than men, and rural candidates running clean more than urban ones, and that Democrats, women, and rural candidates would win in higher proportions than than if they ran a traditional campaign. After compiling data from the CCEC and the National Institute on Money in State Politics, I found that Democrats do run with public funds in statistically higher proportions than Republicans, but when they do they lose in higher proportions than Democrats who run traditionally. Female candidates only ran at a statistically higher proportion from 2002 to 2008, after which the difference was not statistically significant. For all year ranges women who ran with public money lost in higher proportions than women who ran traditionally. Similarly, rural candidates only ran at a statistically higher proportion from 2002 to 2008. However, they only lost at higher proportions from 2002 to 2008 instead of the whole range like with women and Democratic candidates.

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2016-12