layover - 2 months ago 14

R Question

I want to create a roc object by using the function 'roc' of pROC package in R, and plot the roc object. However, I am uncertain what the 'direction' argument does. the median predictor values of my controls is smaller than the median predictor value of the cases. so I think the correct direction should be '<'. But if I plot it with direction argument '>'. it just flipped the ROC curve across the diagonal line as a mirror image. I am wondering in this situation that, data telling you 1 thing, and the argument is coercing a different direction, what is being compared to what, and how is the comparison made? I read through the pROC manual on this function for the argument 'direction', and the explanation is very brief and unclear.

Hope to hear some of your input!

Answer

What the `direction`

argument does is to determine how the negativity (or positivity) of an observation is determined.

To compute sensitivity and specificity at a threshold *t*, you must compare it with each of the observation *o_i*. With `direction="<"`

, *o_i* will be considered positive if *o_i* >= *t*, negative otherwise. With `direction=">"`

, *o_i* will be considered positive if *o_i* <= *t*, negative otherwise.

If you want to look at the source code, check out the `roc.utils.perfs.all.safe`

function.

So when you changed the *direction* of your ROC curve, you essentially reversed all the positive and negative predictions, which is equivalent to reversing the ROC curve.