[R-meta] question on scatter plot of estimates (Fisher's Z) against the standard error

Michael Dewey ||@t@ @end|ng |rom dewey@myzen@co@uk
Wed Jul 19 11:29:40 CEST 2023


Dear Gabriel

I am not realy sure what you are trying to do but one point which occurs 
to me is that forest plots are conventional plotted with small values of 
standard error at the top.

Michael

On 19/07/2023 06:07, Gabriel Cotlier via R-sig-meta-analysis wrote:
> Dear all,
> 
> I have already posted this question with no response.
> Maybe this time I am luckier and someone with more knowledge than me in the
> Metafor package can answer me.
> 
> In a nutshell, what I would like is to be able to produce a scatter plot of
> the observed oucomes or the estimates, in my case Fisher's z for the x axis
> and the standard error in the y axis, with the standard error  (SE) the
> same as it appears when running the funnel() function for a funnel plot
> with the model (without moderators) as the input argument. Actually, it is
> a funnel plot without the background of the funnel distribution but just
> the scatter of points, that is suppressing the funnel distribution on
> the background.
> 
> I tried to do so in agreement with the definition of SE used for the funnel
> plot in the package Vignette published at Journal of Scientific software in
> page 26:
> 
> "*For models without moderators, the figure shows the observed outcomes on
> the horizontal axis against their corresponding standard errors (i.e., the
> square root of the sampling variances) on the vertical axis. A vertical
> line indicates the **estimate based on the model. A pseudo confidence
> interval region is drawn around this value with bounds equal to ±1.96 · SE,
> where SE is the standard error value from the vertical axis.*"
> 
> 
> I tried to reproduce the vertical axis (y) using the square root of the
> sampling variable, but the result was an upside down scaling of the
> observed outcomes or estimates on a different y scale for the x ticks. The
> plot seems to have similarities with the funnel plot from the funnel()
> function, but it is not exactly the same without the background of the
> funnel distribution graphic. Maybe the problem could be that in the
> funnel() function, contrary to my simple attempt to imitate it with the
> square root of the sampling variable, the pseudo confidence interval is
> estimated for each value? Could this be the reason?
> 
> 
> If so, how could I reproduce the funnel () function plot without the funnel
> distribution graphic in the background and just the scattering of the
> points using the same pseudo-confidence interval?
> 
> 
> Thanks a lot for your help and assistance.
> 
> Kind regards,
> 
> Gabriel
> 
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> 
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-- 
Michael
http://www.dewey.myzen.co.uk/home.html



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