Results Search Electronic Theses and Dissertations (ETDs)

Comparison of design optimality criteria of reduced models for response surface designs in a spherical design region: Author: Chomtee, Boonorm; Date: 2003-05-15; Program: Statistics; Abstract: In this dissertation, the major objective is to compare 3 and 4 factor response surface designs in a spherical design region by studying design optimality criteria (D, A, G, and IV-criteria) over sets of reduced models. Hence, theoretical and computational details of evaluating optimality criteria for reduced models for response surface designs in a spherical design region have been described. Specifically, robustness results of the spherical response surface designs and the comparison of design optimality criteria of the response surface designs across the full second-order model and sets of ...; Download File | View full details

Robust Methods for Multivariate Linear Models with Spectral Models for Scatter Matrices: Author: Hyde, Scott Kohler; Date: 2004-08-15; Program: Statistics; Abstract: The main goal of this dissertation is to present extensions to the robust estimation of multivariate location and scatter. These extensions include the estimation of structured scatter matrices embedded in a multivariate fixed effects model. Two different kinds of robust estimators are investigated. The first is based on Maronna's M-estimators of multivariate location and scatter (Maronna 1976). The second is a multivariate extension of the S-estimators introduced by Rousseeuw and Yohai (1984). In addition, asymptotic distributions of the estimators are derived from an estimating function appr...; Download File | View full details

New Statistical Methods for Analyzing Proteomics Data from Affinity Isolation LC-MS/MS Experiments: Author: Sharp, Julia Lynn; Date: 2007-08-15; Program: Statistics; Abstract: The field of proteomics is exploding with statistical problems waiting to be explored. To obtain information on protein complexes, interactions between protein pairs is initially examined. This exploration is performed using `bait-prey' protein pull-down assays that use a protein affinity agent and an LC-MS/MS (liquid chromatography-tandem mass-spectrometry)-based protein identifcation method. An experiment generates a protein association matrix wherein each column represents a sample from one bait protein, each row represents one prey protein and each cell contains a presence/absence associat...; Download File | View full details

Cylindrical designs for response surface studies: Author: Thompson, Nicolas Ray; Date: 2011-05-15; Program: Statistics; Abstract: Central Composite Designs (CCDs) with cuboidal and spherical regions are among the most popular experimental designs for studying response surfaces. Cuboidal regions are typically used when the experimenter believes the levels of one or more of the factors are bounded while a spherical region is employed when there are no restrictions on the levels of any of the factors. We propose what we call a cylindrical design in which the levels of some factors are restricted while the other factors' levels need not be. Assuming the use of a second-order model, we give the general form for the model matr...; Download File | View full details