[R-meta] Intuitive explanation of BLUPs

pusillanimous - a great word to know, thank you, Michael :-)



-----Urspr?ngliche Nachricht-----
Von: Michael Dewey via R-sig-meta-analysis <r-sig-meta-analysis at r-project.org> 
Gesendet: Donnerstag, 15. Februar 2024 14:39
An: R Special Interest Group for Meta-Analysis <r-sig-meta-analysis at r-project.org>
Cc: Michael Dewey <lists at dewey.myzen.co.uk>; Emily Russell <emilyrussell99 at outlook.com>
Betreff: Re: [R-meta] Intuitive explanation of BLUPs

Dear Emily

It is always hard to give intuitive explanations as our intuitions 
differ so much. That seems pusilanimous though, so here goes.

Suppose you are interested in getting the best estimate for one of the 
studies in your meta-analysis. If there is no heterogeneity then the 
best estimate is the overall mean, the summary estimate. Suppose there 
is substantial heterogeneity then you need an estimate somewhere between 
the overall mean and the actual observed value in that study because you 
know there is much between study variation. That estimate is the BLUP.

Michael

Dear All

Sorry if this question is too simple, but could anyone give me an intuitive explanation of best linear unbiased prediction (BLUP) applied to meta-analysis?  Everything I can find seems to refer to genes, and I can't quite make the connection to meta-analysis.

Thanks

Emily

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Michael

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