I’ve been reading some papers in the neuroscience field, and I don’t quite understand the widespread use of AUC/ROC to test for group differences when analyzing neuronal firing over a range of seconds (with regular intervals between observations).
I mean, this approach does capture differences in signal/effect magnitude between groups. But if you apply an inferential model to compare only the area under the curve instead of the raw signal, wouldn’t that underestimate the errors in the model, since you’re only using the "systematic part" of the observation?
On top of that, doesn’t the use of AUC/ROC ignore the shape of the effect?
What are the limitations of using AUC/ROC in inferential analyses of time-varying signals?