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

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    azu_td_9200005_sip1_c.pdf
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    Author
    Avila Murillo, Fernando.
    Issue Date
    1991
    Keywords
    Dissertations, Academic
    Statistics
    Mathematics
    Environmental sciences.
    Advisor
    Myers, Donald E.
    
    Metadata
    Show full item record
    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)
    Degree Name
    Ph.D.
    Degree Level
    doctoral
    Degree Program
    Applied Mathematics
    Graduate College
    Degree Grantor
    University of Arizona
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    Dissertations

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