Thesis (Ph. D.)--Industrial and Systems Engineering, Georgia Institute of Technology, 2007. / Lewis VanBrackle, Committee Member ; Brani Vidakovic, Committee Member ; Anthony J. Hayter, Committee Chair ; Nicholeta Serban, Committee Member ; Alexander Shapiro, Committee Member.

Thesis advisor: Hao Wu / Thesis advisor: Ehri Ryu / In SEM, fit indexes provide useful information about how well a hypothesized model fits the population. Bootstrap has been applied to construct confidence internals for fit indexes. We proposed the most recent method for constructing confidence intervals (CIs) of fit indexes (Cheng & Wu, 2017): the bootstrap-test-based method. This dissertation includes the most popular bootstrap CI methods and the bootstrap-test-based method. In addition to the percentile bootstrap CI method used in Zhang and Savalei (2016), we also included other popular bootstrap CI methods. For all bootstrap CI methods, we explored their performances with and without the transformation proposed by Yuan, Hayashi, and Yanagihara (2007). In this process, we also solved computation difficulty for Studentized CI. The bootstrap-test-based method is improved by using alternative search statistics. As the previous approaches were not extended to nonnormal conditions, the CI estimation for fit indexes with nonnormal data are investigated for both bootstrap CI and bootstrap-test-based methods, using adjusted definitions of fit indexes for nonnormal data. Different nonnormal data generation techniques are applied. This dissertation presents a comprehensive comparison of bootstrap CI methods and the bootstrap-test-based method under various conditions. From the simulation results, the CIs for fit indexes under the bootstrap-test-based method are more accurate than most bootstrap CI methods. The results also show that the bootstrap-test-based method can be generalized well to non-normal data. The confidence bounds coverage by bootstrap-test-based method are closer to their nominal levels. / Thesis (PhD) — Boston College, 2021. / Submitted to: Boston College. Graduate School of Arts and Sciences. / Discipline: Psychology.

No description available.

The Tonnetz is a spatial model of tonal pitch, constructed by placing fifths along the horizontal axis of a coordinate plane and thirds along the vertical axis. This dissertation examines the ways in which different conceptions of interval, including just-intonation ratios, diatonic scalar intervals, and pitch-class intervals, result in different Tonnetz geometries, representing different, and sometimes conflicting, modes of musical perception, and argues for treating conflicts between these often unexamined conceptions of interval as an explicit part of musical analysis. Chapter One considers relationships between a number of Tonnetz spaces, as well as the groups of intervals they model, using harmonic function theory. Chapter Two examines ways in which pitches may project multiple functions in Tonnetz spaces and uses these spaces to model some aspects of the harmonic theory of Jean-Philippe Rameau. Chapter Three considers the ways in which neo-Riemannian transformations, as ways of relating triads and seventh chords to one another, might be associated with changes of harmonic function in different Tonnetz spaces, and culminates in an analysis of Chopin's E Minor Prelude. Chapter Four explores primary triads with chromatically altered roots and fifths and, in this context, analyzes an unusual modulation from A-flat major to E major in Hugo Wolf's song "An den Schlaf." Finally, Chapter Five considers harmonic function in nontriadic music, examining the beginning of the final movement of Bartók's Fourth String Quartet.

Thesis (doctoral)--Universität zu Köln. / Includes bibliographical references (p. 251-271) and index.

Thesis--Princeton. / eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 253-256).

Thesis (Ph. D.)--University of Washington, 2003. / Vita. Includes bibliographical references (leaves 69-103).

published_or_final_version / abstract / Statistics and Actuarial Science / Master / Master of Philosophy

Thesis (Ph.D.)--Australian National University, 2004.

Thesis--Princeton. / Includes bibliographical references (leaves 253-256). Also issued in print.