On 12 Jan 2014, at 21:36 , John C Frain <fra...@gmail.com> wrote:

> Have a look at
> 
> http://davegiles.blogspot.ie/2013/10/more-on-distribution-of-r-squared.html
> 

Or head directly for the Wikipedia page for the noncentral beta distribution 
(and/or noncentral F). Giles doesn't really do the non-null distribution. 

It you really want the mean and SE, you'll need to refresh your knowledge about 
confluent hypergeometric functions, though.

I was a bit bemused by Giles' us of the beta distribution of R^2 in the null 
case to prove that it is an upwardly biased estimator of zero. I would have 
thought that to be rather obvious.

Anyways, as has already been pointed out, 

CrossValidated is -----> over there.

- Peter D.


> John
> 
> 
> On 10 January 2014 20:32, Troels Ring <tr...@gvdnet.dk> wrote:
> 
>> In R package "psychometrics" an estimate of SE of R squared of /sersq <-
>> sqrt((4*rsq*(1-rsq)^2*(n-k-1)^2)/((n^2-1)*(n+3))) with n sample size,
>> and  k number of parameters if sample size greater than 60 is found.
>> Does anyone have a formula for smaller sample size or an exact formula?
>> I have been through sos - but only found the above?
>> 
>> All best wishes
>> Troels Ring
>> Denmark
>> /
>> 
>>        [[alternative HTML version deleted]]
>> 
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>> 
> 
> 
> 
> -- 
> John C Frain
> Economics Department
> Trinity College Dublin
> Dublin 2
> Ireland
> www.tcd.ie/Economics/staff/frainj/home.html
> mailto:fra...@tcd.ie
> mailto:fra...@gmail.com
> 
>       [[alternative HTML version deleted]]
> 
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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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