-------- Original Message --------
Subject:        Re: scaling eigenvectors according to 1/SQRT of eigenvalues
Date:   Thu, 15 Mar 2012 16:14:19 -0400
From:   Robert Corruccini <[email protected]>
To:     [email protected]




Traditionally that transform is supposed to give the product moment
correlation between the variables and the PC axis ....


On Thu, Mar 15, 2012 at 3:09 AM, morphmet
<[email protected]
<mailto:[email protected]>> wrote:



    -------- Original Message --------
    Subject: RE: scaling eigenvectors according to 1/SQRT of eigenvalues
    Date: Wed, 14 Mar 2012 18:23:48 -0400
    From: F. James Rohlf <[email protected]
    <mailto:[email protected]>>
Reply-To: <[email protected] <mailto:[email protected]>>
    Organization: Stony Brook University
    To: <[email protected] <mailto:[email protected]>>

    That simply gives you the scaled eigenvectors of the inverse of the
    covariance matrix.

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    F. James Rohlf, John S. Toll Professor, Stony Brook University
The much revised 4th editions of Biometry and Statistical Tables are now
    available:

http://www.whfreeman.com/__Catalog/product/biometry-__fourthedition-sokal
    <http://www.whfreeman.com/Catalog/product/biometry-fourthedition-sokal>

http://www.whfreeman.com/__Catalog/product/__statisticaltables-__fourthedition-roh

<http://www.whfreeman.com/Catalog/product/statisticaltables-fourthedition-roh>
    lf


        -----Original Message-----
        From: morphmet [mailto:morphmet_moderator@__morphometrics.org
        <mailto:[email protected]>]
        Sent: Tuesday, March 13, 2012 9:11 AM
        To: morphmet
        Subject: scaling eigenvectors according to 1/SQRT of eigenvalues



        -------- Original Message --------
        Subject: scaling eigenvectors according to 1/SQRT of eigenvalues
        Date: Tue, 13 Mar 2012 12:01:45 -0400
        From: andrea cardini <[email protected]
        <mailto:[email protected]>>
        To: [email protected] <mailto:[email protected]>

        Dear morphometricians,
please, has anyone got any experience of PCAs where eigenvectors are
        scaled according to 1/SQRT of eigenvalues? What's the aim and
        typical use?
        Any introductory reference?

        Thanks in advance for your help.
        Cheers

        Andrea

        Dr. Andrea Cardini
        Researcher in Animal Biology
        Dipartimento di Biologia, Universitá di Modena e Reggio Emilia,
        via Campi

    213,

        41100, Modena, Italy
        tel: 0039 059 2055017 ; fax: 0039 059 2055548

        Honorary Fellow
        Functional Morphology and Evolution Unit, Hull York Medical School
        University of Hull, Cottingham Road, Hull, HU6 7RX, UK
        University of York,
        Heslington, York YO10 5DD, UK

        Adjunct Associate Professor
        Centre for Forensic Science , The University of Western Australia
        35 Stirling Highway, Crawley WA 6009, Australia

        E-mail address: [email protected]
        <mailto:[email protected]>, [email protected]
        <mailto:[email protected]>,
        [email protected] <mailto:[email protected]>,
        [email protected] <mailto:[email protected]>

        Webpage: http://sites.google.com/site/__hymsfme/drandreacardini
        <http://sites.google.com/site/hymsfme/drandreacardini>
        Datasets:

http://ads.ahds.ac.uk/__catalogue/archive/cerco_lt___2007/overview.cfm#meta

<http://ads.ahds.ac.uk/catalogue/archive/cerco_lt_2007/overview.cfm#meta>
        data
        Editorial board for:
                Zoomorphology:

http://www.springer.com/life+__sciences/animal+sciences/__journal/435
        <http://www.springer.com/life+sciences/animal+sciences/journal/435>
Journal of Zoological Systematics and Evolutionary Research:
        http://www.wiley.com/bw/__journal.asp?ref=0947-5745&__site=1
        <http://www.wiley.com/bw/journal.asp?ref=0947-5745&site=1>
                Hystrix, the Italian Journal of Mammalogy:
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--

Robert S. Corruccini
Professor Emeritus and Distinguished Scholar
Department of Anthropology
Southern Illinois University
Carbondale, IL 62901-4502



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