Dear Jason,
Further to our telephone discussions on Friday, for the record,
The SE of a BLUP as reported in the .sln file by ASREML is the square root
of the prediction error variance: i.e. the standard error of predicition.
Let G be the var(u),
P = prediction error variance = var(u-u_tilde)
Var(u_tilde) = G-P i.e. approaches G as P approaches zero
Cov(u,u_tilde) is also G-P
so 'accuracy' = r = G-P/sqrt(G*(G-P)) = sqrt((G-P)/G) = sqrt(1 - P/G)
reliability = r^2 = 1 - P/G
Arthur
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> From: jason.archer@smtpgwy.agric.nsw.gov.au
> Date: Thu, 10 Dec 1998 17:23:49 +1000
> To: <asreml@ram.chiswick.anprod.csiro.au>
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> Hi Asreml'ers
>
> I am using ASREML to calculate BLUP EBVs for sires represented in a dataset,
> using an animal model.
>
> Is there a simple way (formula) to convert the Standard Errors of the
solutions
> in the .sln file into an accuracy as is often used when reporting EBVs (ie.
the
> correlation between the predicted value and the true value) ?
>
> Thanks in advance for any help
>
> Jason Archer
>
>
-------------------------------------------------------------------------------
> Dr Jason Archer ph : +61 2 6888 7404
> Livestock Research Officer (Beef cattle breeding) fax : +61 2 6888 7201
> NSW Agriculture jason.archer@agric.nsw.gov.au
> Agricultural Research Centre
> Trangie, NSW 2823, Australia
>
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Arthur Gilmour PhD email: Arthur.Gilmour@agric.nsw.gov.au
Senior Research Scientist (Biometrics) fax: <61> 2 6391 3899
NSW Agriculture <61> 2 6391 3922
Orange Agricultural Institute telephone work: <61> 2 6391 3815
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