On May 8, 2012, at 08:34 , array chip wrote:

> Thank you Peter, so if I observe a significant coefficient, that significance 
> still holds because the standard error of the coefficient has taken the 
> residual error (which is large because large R square) into account, am I 
> correct?

In essence, yes. One might quibble over the use of "large because", but it's 
not important for the main point.

-pd

> John
> From: peter dalgaard <pda...@gmail.com>
> To: array chip <arrayprof...@yahoo.com> 
> Cc: "r-help@r-project.org" <r-help@r-project.org> 
> Sent: Monday, May 7, 2012 11:07 PM
> Subject: Re: [R] low R square value from ANCOVA model
> 
> 
> On May 8, 2012, at 05:10 , array chip wrote:
> 
> > Hi, what does a low R-square value from an ANCOVA model mean? For example, 
> > if the R square from the model is about 0.2, does this mean the results 
> > should NOT be trusted? I checked the residuals of the model, it looked 
> > fine...
> 
> It just means that your model has low predictive power (at the individual 
> level). I.e. the noise (error) part of the model is large relative to the 
> signal (systematic part). Statistical inferences are not compromised by that, 
> except of course that large error variation is reflected in large standard 
> errors of estimated regression coefficients. 
> 
> >  
> > Thanks for any suggestion.
> >  
> > John
> >     [[alternative HTML version deleted]]
> > 
> > ______________________________________________
> > R-help@r-project.org mailing list
> > https://stat.ethz.ch/mailman/listinfo/r-help
> > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
> > and provide commented, minimal, self-contained, reproducible code.
> 
> -- 
> Peter Dalgaard, Professor,
> Center for Statistics, Copenhagen Business School
> Solbjerg Plads 3, 2000 Frederiksberg, Denmark
> Phone: (+45)38153501
> Email: pd....@cbs.dk  Priv: pda...@gmail.com
> 
> 
> 
> 
> 
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> 
> 
> 

-- 
Peter Dalgaard, Professor
Center for Statistics, Copenhagen Business School
Solbjerg Plads 3, 2000 Frederiksberg, Denmark
Phone: (+45)38153501
Email: pd....@cbs.dk  Priv: pda...@gmail.com

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