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Applications of generalized additive models
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Joshi, Miland (2011) Applications of generalized additive models. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b2578185~S1
Abstract
Main Purpose
The study is primarily a contribution to a question of strategy rather than
the development of a new method. It explores the circumstances in which
the use of generalized additive models can be recommended. It is thus a
contribution to answering the question "When is it a good idea (or not so
good an idea) to use GAMs?"
Content
Following an introductory exposition in which they are compared to generalized linear models, subsequent chapters deal with evidence that could
support possible recommendations:
1. A survey of recent studies, in which GAMs have been used and recommended, regarded with greater reserve, or compared to other methods.
2. Original case studies in which the applicability of GAMs is investigated,
namely:
(a) Receiver operating characteristic curves used in medical diagnostic testing, the associated diagnostic likelihood ratios, and the
modelling of the risk score.
(b) A study of a possible heat wave effect on mortality in London.
(c) Shorter studies, including a study of factors influencing the length
of stay in hospital in Queensland, Australia, and a simulation
study.
3. Diagnostics, looking in particular at concurvity, and the problems of
defining and detecting it.
The study ends with recommendations for the use of GAMs, and possible areas for further research. The appendices include a glossary, technical
appendices and R code for computations involved in the project.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Linear models (Statistics) | ||||
Official Date: | 5 December 2011 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Department of Statistics | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Shaw, J. Ewart H. ; Firth, David, 1978- | ||||
Extent: | 387 leaves : ill., charts | ||||
Language: | eng |
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