Title of dissertation: Collinearity Diagnostics for Complex Survey Data Dan Liao Doctor of Philosophy, 2010 Dissertation directed by: Professor Richard Valliant Joint Program in Survey Methodology Survey data are often used to fit models. The values of covariates used in modeling are not controlled as they might be in an experiment. Thus, collinearity among the covariates is an inevitable probl...

This paper examines improved regression methods for the linear multivariable measurement error model MEM when the data su ers from collinearity The di culty collinearity presents for reliable estimation is discussed and a systematic procedure signi cance regression SR MEM is developed to address collinearity In addition to mitigating collinearity di culties SR MEM produces asymptotically un bia...

Collinearity diagnostics are widely used, but the typical tabular output used in almost all software makes it hard to tell what to look for and how to understand the results. We describe a simple improvement to the standard tabular display, a graphic rendition of the salient information as a ‘‘tableplot,’’ and graphic displays designed to make the information in these diagnostic methods more re...

We examined time course of grouping of shape by perceptual closure in three experiments using a primed matching task. The gaps between the closure-inducing contours varied in size. In addition, depending on the distribution of the gaps along the closure-inducing contours--occurring at straight contour segments or at the point of change in contour direction--collinearity was either present or ab...

Using concepts from valuation theory, we obtain a characterization of all collinearity-preserving functions from one affine or projective Desarguesian plane into another. The case in which the planes are projective and the range contains a quadrangle has been treated previously in the literature. Our results permit one or both planes to be affine and include cases in which the range contains a ...

In a metrical space, there exists an intimate relation between collinearity and parallelity. In particular, in a Riemannian space collinearity is just a special case of parallelity. Is this true for visual space as well? We investigated the visual perception of collinearity by having subjects align two bars in the horizontal plane at eye height. The distances of the bars from the subject and th...

Outliers and multi-collinearity often have large influence in the model/variable selection process in linear regression analysis. To investigate this combined problem of multi-collinearity and outliers, we studied and compared Liu-type S (liuS-estimators) and Liu-type Least Trimmed Squares (liuLTS) estimators as robust model selection criteria. Therefore, the main goal this study is to select s...

The goal of this paper is twofold: firstly, we propose a novel interpretation for collinearity in the process of camera pose estimation from given correspondences between a 3D model and its 2D projective image. In contrast with the existing interpretations for collinearity, the focus of expansion (FOE) theory is a special case of our novel interpretation for collinearity and besides the project...

BACKGROUND In order to understand the colocalization of genetic loci amongst species, synteny and collinearity analysis is a frequent task in comparative genomics research. However many analysis software packages are not effective in visualizing results. Problems include lack of graphic visualization, simple representation, or inextensible format of outputs. Moreover, higher throughput sequenci...