-------- Original Message --------
Subject: Re: scaling eigenvectors according to 1/SQRT of eigenvalues
Date: Thu, 15 Mar 2012 19:12:53 -0400
From: F. James Rohlf <[email protected]>
Reply-To: [email protected]
To: Morphmet <[email protected]>

No, that is if you multiply by sqrt lambda. The question was about division.
-------
Sent remotely by F. James Rohlf,
John S. Toll Professor, Stony Brook University

-----Original Message-----
From: morphmet <[email protected]>
Date: Thu, 15 Mar 2012 23:39:14
To: morphmet<[email protected]>
Reply-To: [email protected]
Subject: Re: scaling eigenvectors according to 1/SQRT of eigenvalues



-------- 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:
         http://www.italian-journal-of-__mammalogy.it/
         <http://www.italian-journal-of-mammalogy.it/>










--

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




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