[R-sig-phylo] Can PGLS cope with collinearity between explanatory variables?

2012-08-17 Thread Xu Han

Hi all,
I am testing a correlation between two explanatory variables and a response 
variable using PGLS. All of the variables are continuous. My model is Log 
female body size ~ Log egg size * Log clutch size. However, there is a 
significant negative correlation between egg size and clutch size. Can PGLS 
cope with collinearity between explanatory variables? Is there any way that I 
can apply something like principal component analysis to PGLS models?
Thanks,
Xu
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Re: [R-sig-phylo] Can PGLS cope with collinearity between explanatory variables?

2012-08-17 Thread Theodore Garland Jr
The issue of collinearity of independent variables is neither better nor worse 
with PGLS as opposed to OLS.  Statistical significance per se of a correlation 
between X variables is not really the issue.  How strong is the correlation?  
Most sources suggest that it needs to be greater than 0.7-0.8 in magnitude to 
cause serious problems.

Cheers,
Ted
 
Theodore Garland, Jr.
Professor
Department of Biology
University of California, Riverside
Riverside, CA 92521
Office Phone:  (951) 827-3524
Facsimile:  (951) 827-4286 = Dept. office (not confidential)
Email:  tgarl...@ucr.edu
http://www.biology.ucr.edu/people/faculty/Garland.html

Experimental Evolution: Concepts, Methods, and Applications of Selection 
Experiments. 2009.
Edited by Theodore Garland, Jr. and Michael R. Rose
http://www.ucpress.edu/book.php?isbn=9780520261808
(PDFs of chapters are available from me or from the individual authors)


From: r-sig-phylo-boun...@r-project.org [r-sig-phylo-boun...@r-project.org] on 
behalf of Xu Han [duck_han365...@hotmail.com]
Sent: Friday, August 17, 2012 12:33 PM
To: r-sig-phylo@r-project.org
Subject: [R-sig-phylo] Can PGLS cope with collinearity between explanatory  
variables?

Hi all,
I am testing a correlation between two explanatory variables and a response 
variable using PGLS. All of the variables are continuous. My model is Log 
female body size ~ Log egg size * Log clutch size. However, there is a 
significant negative correlation between egg size and clutch size. Can PGLS 
cope with collinearity between explanatory variables? Is there any way that I 
can apply something like principal component analysis to PGLS models?
Thanks,
Xu
[[alternative HTML version deleted]]

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Re: [R-sig-phylo] Can PGLS cope with collinearity between explanatory variables?

2012-08-17 Thread Xu Han

Thanks Dr. Garland,The correlation between egg size and clutch size is 0.3, and 
the variance inflation factors for both egg size and clutch size are smaller 
than 2. There shouldn't be a big problem of collinearity. Thanks for your 
clarification.Best,Xu
 From: theodore.garl...@ucr.edu
 To: duck_han365...@hotmail.com; r-sig-phylo@r-project.org
 Subject: RE: [R-sig-phylo] Can PGLS cope with collinearity between 
 explanatoryvariables?
 Date: Fri, 17 Aug 2012 19:38:31 +
 
 The issue of collinearity of independent variables is neither better nor 
 worse with PGLS as opposed to OLS.  Statistical significance per se of a 
 correlation between X variables is not really the issue.  How strong is the 
 correlation?  Most sources suggest that it needs to be greater than 0.7-0.8 
 in magnitude to cause serious problems.
 
 Cheers,
 Ted
  
 Theodore Garland, Jr.
 Professor
 Department of Biology
 University of California, Riverside
 Riverside, CA 92521
 Office Phone:  (951) 827-3524
 Facsimile:  (951) 827-4286 = Dept. office (not confidential)
 Email:  tgarl...@ucr.edu
 http://www.biology.ucr.edu/people/faculty/Garland.html
 
 Experimental Evolution: Concepts, Methods, and Applications of Selection 
 Experiments. 2009.
 Edited by Theodore Garland, Jr. and Michael R. Rose
 http://www.ucpress.edu/book.php?isbn=9780520261808
 (PDFs of chapters are available from me or from the individual authors)
 
 
 From: r-sig-phylo-boun...@r-project.org [r-sig-phylo-boun...@r-project.org] 
 on behalf of Xu Han [duck_han365...@hotmail.com]
 Sent: Friday, August 17, 2012 12:33 PM
 To: r-sig-phylo@r-project.org
 Subject: [R-sig-phylo] Can PGLS cope with collinearity between explanatory
   variables?
 
 Hi all,
 I am testing a correlation between two explanatory variables and a response 
 variable using PGLS. All of the variables are continuous. My model is Log 
 female body size ~ Log egg size * Log clutch size. However, there is a 
 significant negative correlation between egg size and clutch size. Can PGLS 
 cope with collinearity between explanatory variables? Is there any way that I 
 can apply something like principal component analysis to PGLS models?
 Thanks,
 Xu
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