The aim of this thesis is to introduce statistical method called Correspondence analysis as a strong instrument for exploratory data analysis. The main purpose is to understand how to interpret the correspondence map, the graphical output of this method, correctly. The method is presented both in its simple version, and its extension to multivariate data. Usage of method is demonstrated on data of non-financial subjects of Czech republic, which are entered in the register of economic subjects.

The purpose of this study was to examine whether or not DCS social workers would obtain client's educational records if they had electronic access to these records. If a social worker could access client school records quickly and easily and then enter the information into the case management computer system, the school history would travel with the client to their new environment. This information would insure that the foster child with special education needs was placed in the proper classroom, giving the child a better chance to succeed.

This project outlines the discovery and digitization of previously unpublished correspondence composed by late 19th century author and literary critic, Marcel Schwob. Inspired by the inquiry of Bibliothèque Nationale Librarian Bernard Gauthier, Professor Daryl Lee alerted me to the presence of Marcel Schwob materials at BYU. I found that former BYU Professor John Green established a Marcel Schwob Memorial Collection and successfully published two books using the materials he gathered: Chroniques and Correspondance Inédite. After thoroughly researching the catalogued Schwob materials at BYU and comparing the contents to other Schwob publications, I found 72 previously unpublished letters. The majority of the letters (62) were written by Schwob to family members, and the remaining 9 letters were written to Schwob by colleagues. International interest in Marcel Schwob materials is one of many indicators representing renewed interest in the author, his work, and his influence. Recent publications also reflect growing Schwob interest. In Marcel Schwob, d'hier et d'aujourd'hui (2002), Christian Berg and Yves Vadé shed new light on Schwob through the observations of his contemporaries and modern-day essays on the importance of his contes. In addition, Jean Lorrain: Lettres à Marcel Schwob (2006) furthers the effort to better understand Schwob through a collection of correspondence. In light of this renewed interest, I determined that the previously unpublished correspondence would serve as a useful research tool for Schwob scholars. With the guidance and assistance of employees at the Harold B. Lee Library, I subsequently converted the correspondence into a digital publication. Creating a digital publication is a multifaceted undertaking requiring the involvement and expertise of different individuals and library departments. I successfully learned how to use both the hardware and software involved in the digitization process, thereby facilitating my completion of project deliverables, including: scanning and transcribing the letters; writing letter summaries (in both French and English), extracting names, and completing other metadata; uploading metadata using the Lee Library's external database; establishing authority control records; writing website content (in both French and English), and publicizing the project. This document contains the major deliverables found in the digital publication, specifically the website content, the letter transcriptions, and the metadata.

The vegetation responses to seven silvicultural treatments one growing season after harvesting were examined on seven sites in the southern Appalachian mountains of Virginia and West Virginia. Treatments included: 1) control, 2) understory control by herbicide, 3) group selection, 4) high-leave shelterwood, 5) low-leave shelterwood, 6) leave tree, and 7) clearcut. The effects of harvesting were compared between treatments and between pre-harvest and post-harvest samplings. Species richness, percent cover, and local species extinctions were calculated for sample plots ranging in size from 1m2 to 2 ha. Vegetation richness and cover increased with increasing harvest intensity. Local species extinctions were similar in the control and disturbed treatments. Additional analyses were performed using the control, high-leave shelterwood, and clearcut on five of the seven sites to determine the relationships between soil, litter, and other environmental characteristics and vegetation in the herbaceous layer (<1 m in height). Multivariate analysis techniques were used to analyze average differences in species abundance between pre-harvest and post-harvest and to relate post-harvest vegetation to microsite characteristics. Regional-scale differences in site location were more important in explaining the presence of a species than were environmental characteristics. Within a region, species primarily were distributed along a light/litter weight gradient and secondarily along a soil properties and nutrient gradient. / Master of Science

In the mid-10th century the import of dirhems from Eastern Europe came to an end. From being a steady flow of Islamic coins from Viking-Age Russia the focus shifted to western European coins such as German and English. Most studies on Viking Age coins and hoards in general have focused on determine the individual coin type and the composition of the hoard in whole. Others have focused on the more social aspects on why the hoards even exist. My study will investigate if it is possible to detect if there are different networks behind the import of coins by analysing the composition of hoards in the transitional phase. By using a correspondence analysis and also GIS analysis, I want to investigate differences and similarities in the hoards composition. The correspondence analysis will show if there are any affiliations between different variables, which a means recurring pattern or combination of data represented in the hoards such as mints, size, TPQ and find distribution on Gotland etc. These presence or absence of affiliations will then be discussed if they could indicate different networks operating the coin import. The material the study is based on are 10th century hoards from Gotland which contain coins from late Islamic dynasties, Germany, England and the Byzantine empire. The result shows no specific indications in the hoards composition on different networks or groups that imported different kinds of coins. There is however a chance that different local groups have imported the same type of coins. The correspondence analysis also clearly visualizes the shift from the import of Islamic dirhams to Western coins.

This dissertation explores the impact of tax policy and institutions on decisions in the market for housing. The first essay is joint work with Andrew Hanson. In it, we estimate the sensitivity of mortgage interest deducted on federal tax returns to the availability of the Mortgage Interest Deduction (MID). Our primary results show that for every one percentage point increase in the tax rate that applies to deductibility, the amount of mortgage interest deducted increases by $303–590. The second essay simulates changes to average home prices in twenty-seven cities that would result were the MID reformed. I use local variation in housing parameters to simulate home price changes for three different reforms: eliminating the MID, converting the MID to a fifteen percent credit, and capping the MID at fifteen percent. City price changes vary in response to a single policy by as much as 12.8 percentage points. Spatial variation within cities is also notable, with areas high in income experiencing steeper price declines and areas of lower income experiencing shallow declines. The third essay is joint work with Andrew Hanson, Zack Hawley, and Bo Liu. We design and implement an experimental test for differential response by Mortgage Loan Originators (MLOs) to requests for information about loans. Our e-mail correspondence experiment is designed to analyze differential treatment by client race and credit score. Our results show net discrimination of 1.8 percent by MLOs through non-response.

This thesis is comprised of three problems in number theory. The introduction is Chapter 1. The first problem is to partially generalize the main theorem of Gross, Kohnen and Zagier to higher weight modular forms. In Chapter 2, we present two conjectures which do this and some partial results towards their proofs as well as numerical examples. This work provides a new method to compute coefficients of weight k+1/2 modular forms for k>1 and to compute the square roots of central values of L-functions of weight 2k>2 modular forms. Chapter 3 presents four different interpretations of the main construction in Chapter 2. In particular we prove our conjectures are consistent with those of Beilinson and Bloch. The second problem in this thesis is to find an arithmetic formula for the central value of a certain Hecke L-series in the spirit of Waldspurger's results. This is done in Chapter 4 by using a correspondence between special points in Siegel space and maximal orders in quaternion algebras. The third problem is to find a lower bound for the cardinality of the principal genus group of binary quadratic forms of a fixed discriminant. Chapter 5 is joint work with Jeffrey Stopple and gives two such bounds. / text

One of the phenomenal results emerging from string theory is the AdS/CFT correspondence or gauge-gravity duality: In certain cases a theory of gravity is equivalent to a "dual" gauge theory, very similar to the one describing non-gravitational interactions of fundamental subatomic particles. A difficult problem on one side can be mapped to a simpler and solvable problem on the other side using this correspondence. Thus one of the theories can be understood better using the other. The mapping between theories of gravity and gauge theories has led to new approaches to building models of particle physics from string theory. One of the important features to model is the phenomenon of confinement present in strong interaction of particle physics. This feature is not present in the gauge theory arising in the simplest of the examples of the duality. However this N = 4 supersymmetric Yang-Mills gauge theory enjoys the property of being integrable, i.e. it can be exactly solved in terms of conserved charges. It is expected that if a more realistic theory turns out to be integrable, solvability of the theory would lead to simple analytical expressions for quantities like masses of the hadrons in the theory. In this thesis we show that the existing models of confinement are all nonintegrable--such simple analytic expressions cannot be obtained. We moreover show that these nonintegrable systems also exhibit features of chaotic dynamical systems, namely, sensitivity to initial conditions and a typical route of transition to chaos. We proceed to study the quantum mechanics of these systems and check whether their properties match those of chaotic quantum systems. Interestingly, the distribution of the spacing of meson excitations measured in the laboratory have been found to match with level-spacing distribution of typical quantum chaotic systems. We find agreement of this distribution with models of confining strong interactions, conforming these as viable models of particle physics arising from string theory.

This thesis examines the cogency of Bourdieusian political theory and social science on phenomenological, empirical and normative grounds. It investigates whether Bourdieu's philosophy of science leads logically to the political content of Bourdieusian theory, and concludes that the originary determinism which characterises Bourdieu's work is a normative commitment. Rather than characterising that which is bracketed out of Bourdieu's neo-Marxist phenomenology - that is, the level of determination accessible neither to the consciousness of the social agent nor the social scientist - as inherently coercive, the thesis argues that the Bourdieusian modeal can be defended on deontological grounds. Specifically, this entails a deontological acceptance of the cultural value of autonomy and accountability. The tension between these two in turn raises the problem of acceptable levels of exclusion and decontestation, and the thesis concludes that a qualified elitism is defensible and compatible with Boudieusian principles. The thesis incorporates a case study which serves two functions. First, it puts into empirical practice the principles of Bourdieusian philosophy of social science to ascertain what implications and normative commitments are built into Bourdieusian methodology. In this regard it concludes that while it is possible to produce constructive analysis of systematically misrecognised economies, it becomes necessary to delineate the point beyond which positing further levels of coercive determination is counter-productive - and this can only be done according to deontological criteria. Second, it assesses the merit of Bourdieusian sociologies relative to existing accounts of the journalistic field. It concludes that while Bourdieu is excessively dismissive of individual awareness of the conditions of their field, Bourdieusian field analysis produces significant insights into the processes of naturalisation, self-identification, esotericisation and disinterestedness.

In the first part of this thesis we study baryonic U(1) symmetries dual to Betti multiplets in the AdS_4/CFT_3 correspondence for M2 branes at Calabi-Yau four-fold singularities. Such short multiplets originate from the Kaluza-Klein compactification of eleven-dimensional supergravity on the corresponding Sasaki-Einstein seven-manifolds. Analysis of the boundary conditions for vector fields in AdS_4 allows for a choice where wrapped M5 brane states carrying non-zero charge under such symmetries can be considered. We begin by focusing on isolated toric singularities without vanishing six-cycles, which we classify, and propose for them field theory duals. We then study in detail the cone over the well-known Sasaki-Einstein space Q^111, which is a U(1) fibration over CP^1 x CP^1 x CP^1. The boundary conditions considered are dual to a CFT where the gauge group is U(1)^2 x SU(N)^4. We find agreement between the spectrum of gauge-invariant baryonic-type operators in this theory and M5 branes wrapping five-cycles in the Q^111 space. Moreover, the physics of vacua in which these symmetries are spontaneously broken precisely matches a dual gravity analysis involving resolutions of the singularity, where we are able to match condensates of the baryonic operators, Goldstone bosons and global strings. We then study the implications of turning on a closed three-form with non-zero periods through torsion three cycles in the Sasaki-Einstein manifold. This three-form, otherwise known as torsion G-flux, non-trivially affects the supergravity dual of Higgsing, and we show that the supergravity and field theory analyses precisely match in an example based on the Sasaki-Einstein manifold Y^1,2(CP^2), which is a S^3 bundle over CP^2. We then explain how the choice of M-theory circle in the background can result in exotic renormalization group flows in the dual field theory, and study this in detail for the Sasaki-Einstein manifold Y^1,2(CP^2). We also argue more generally that theories where the resolutions have six-cycles are expected to receive non-perturbative corrections from M5 brane instantons. We give a general formula relating the instanton action to normalizable harmonic two-forms, and compute it explicitly for the Sasaki-Einstein Q^222 example, which is a Z_2 orbifold of Q^111 in which the free Z_2 quotient is along the R-symmetry U(1) fibre. The holographic interpretation of such instantons is currently unclear. In the second part of this thesis we study the breaking of baryonic symmetries in the AdS_5/CFT_4 correspondence for D3 branes at Calabi-Yau three-fold singularities. This leads, for particular vacuum expectation values, to the emergence of non-anomalous baryonic symmetries during the renormalization group flow. We identify these vacuum expectation values with critical values of the NS-NS B-field moduli in the dual supergravity backgrounds. We study in detail the C^3/Z_3 orbifold theory and the dual supergravity backgrounds that correspond to the breaking of the emerging baryonic symmetries, and identify the expected Goldstone bosons and global strings in the infra-red. In doing so we confirm the claim that the emerging symmetries are indeed non-anomalous baryonic symmetries.