An integrated development of correspondence analysis with applications to environmental data.

Persistent Link:
http://hdl.handle.net/10150/185551
Title:
An integrated development of correspondence analysis with applications to environmental data.
Author:
Avila Murillo, Fernando.
Issue Date:
1991
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
Correspondence Analysis (CA) is a multivariate method that has been developed from different perspectives, for a variety of purposes. There have been reservations on the use of CA for data measured on a ratio scale, which is the usual type of data encountered in the earth and environmental sciences. These reservations have to do to with the usual approaches to CA, which are restricted to count type data, and with the actual nature of CA, as being either an exploratory or an inferential method. We present CA as an exploratory technique that provides an algebraic model for data matrices with non negative entries. This model can be used for dimension reduction or for pattern recognition purposes. As with any other exploratory technique, the use of CA has to be supplemented with diagnostics and post-analysis, if we are to have some measure of confidence in the results. We provide a set of diagnostics and a methodology for post-analysis, and we test its use on three example data sets from the earth and environmental sciences.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Dissertations, Academic; Statistics; Mathematics; Environmental sciences.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Applied Mathematics; Graduate College
Degree Grantor:
University of Arizona
Advisor:
Myers, Donald E.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleAn integrated development of correspondence analysis with applications to environmental data.en_US
dc.creatorAvila Murillo, Fernando.en_US
dc.contributor.authorAvila Murillo, Fernando.en_US
dc.date.issued1991en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractCorrespondence Analysis (CA) is a multivariate method that has been developed from different perspectives, for a variety of purposes. There have been reservations on the use of CA for data measured on a ratio scale, which is the usual type of data encountered in the earth and environmental sciences. These reservations have to do to with the usual approaches to CA, which are restricted to count type data, and with the actual nature of CA, as being either an exploratory or an inferential method. We present CA as an exploratory technique that provides an algebraic model for data matrices with non negative entries. This model can be used for dimension reduction or for pattern recognition purposes. As with any other exploratory technique, the use of CA has to be supplemented with diagnostics and post-analysis, if we are to have some measure of confidence in the results. We provide a set of diagnostics and a methodology for post-analysis, and we test its use on three example data sets from the earth and environmental sciences.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectDissertations, Academicen_US
dc.subjectStatisticsen_US
dc.subjectMathematicsen_US
dc.subjectEnvironmental sciences.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineApplied Mathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorMyers, Donald E.en_US
dc.contributor.committeememberWright, Arthur L.en_US
dc.contributor.committeememberNeuman, Shlomo P.-
dc.identifier.proquest9200005en_US
dc.identifier.oclc711699963en_US
All Items in UA Campus Repository are protected by copyright, with all rights reserved, unless otherwise indicated.