AUC to d

Problem

Convert the probit of an AUC (z = Phi^-1(AUC)) to a standardized mean difference with d = sqrt(2) * z. Return 0.0 when z is zero.

Hint

The ROC curve implies d = sqrt(2) times the probit.

case 1

in: [0]

expected: 0

case 2

in: [1]

expected: 1.4142135623730951

case 3

in: [-0.5]

expected: -0.7071067811865476

case 4

in: [1.645]

expected: 2.3263813101037414

case 5

in: [2]

expected: 2.8284271247461903

Starter codePython

def auc_to_d(z_auc):
    # Your code here
    pass

5 test cases · run your code against them in the editor