I conduct sound detection experiments with mice. I have a stimulus sound and a "noise" sound that shoukd be ignored.
I want to measure how well the mouse ignors the noise (with respect to, say, ignoring 100% of the noise stimuli).
I have sessions with, say 200 trials of stimulus sound that sould be detected and 40 trials of noise sounds that should be ignored.
I created the confusion matrix and ROC curve (I use Matlab). Now I want to know how well my mouse is performing compared with "ignoring all noise stims".
Is there a way, or a common used formula, to get a evaluation or a confidence interval of "how good is my ROC AUC comparing to AUC(ROC) = 1"?