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ANALYSIS USING GENERALIZED LINEAR MODELS
AND ITS APPLIED COMPUTATION WITH R
by
Yini Cui
A Thesis Presented to the
FACULTY OF THE GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
MASTER OF SCIENCE
(STATISTICS)
May 2009
Copyright 2009 Yini Cui
Object Description
| Title | Analysis using generalized linear models and its applied computation with R |
| Author | Cui, Yini |
| Author email | yinicui@usc.edu; yinicui@gmail.com |
| Degree | Master of Science |
| Document type | Thesis |
| Degree program | Statistics |
| School | College of Letters, Arts and Sciences |
| Date defended/completed | 2009-03-29 |
| Date submitted | 2009 |
| Restricted until | Unrestricted |
| Date published | 2009-05-05 |
| Advisor (committee chair) | Larry, Goldstein |
| Advisor (committee member) |
Jay, Bartroff Alan, Schumitzky Remigijus, Mikulevicius Miguel, Dumett |
| Abstract | Generalized linear models (GLMs) are introduced by Nelder and Wedderburn. As an extension of normal linear regression for a single dependent variable, GLMs are widely used to do regression modeling for non-normal data with a minimum of extra complication. Unifying various other statistical models under one framework, GLMs develop a general algorithm for maximum likelihood estimation in all these models. GLMs are flexible enough to include a wide range of common situations, but at the same time allow most of the familiar ideas of normal linear regression to carry over. Furthermore, the link function which provides the relationship between the linear predictor and the mean of the distribution function does not have to be linear. Taking advantage of statistical software R, efficiency of GLMs analysis in different datasets is greatly improved and diagnostics become visible. |
| Keyword | generalized linear model; linear regression; maximum likelihood estimation; link function; software R |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Provenance | Electronically uploaded by the author |
| Type | texts |
| Legacy record ID | usctheses-m2172 |
| Rights | Cui, Yini |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | http://www.usc.edu/isd/libraries/services/ask_a_librarian/email/ |
| Filename | etd-Cui-2869 |
| Archival file | uscthesesreloadpub_Volume44/etd-Cui-2869.pdf |
Description
| Title | Page 1 |
| Full text | ANALYSIS USING GENERALIZED LINEAR MODELS AND ITS APPLIED COMPUTATION WITH R by Yini Cui A Thesis Presented to the FACULTY OF THE GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree MASTER OF SCIENCE (STATISTICS) May 2009 Copyright 2009 Yini Cui |
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