Dear Stephen

In that application the axes would be sensitivity and specificity (or their inverses) or some transformation of them like logits so the units would be the same. Whether the area has any scientific meaning I am not sure.

Michael

On 11/05/2021 15:20, Stephen Ellison wrote:
In doing meta-analysis of diagnostic accuracy I produce ellipses of confidence
and prediction intervals in two dimensions.  How can I calculate the area of
the ellipse in ggplot2 or base R?

There are established formulae for ellipse area, but I am curious: in a 2-d 
ellipse with different quantities (eg coefficients for salary and age) 
represented by the different dimensions, what does 'area' mean?

S


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