SPSS provides basic ROC commands within the main package. By following Graphs -> ROC Curves, you can plot multiple ROC curves and get the AUC (with optional confidence intervals) for each curve. You need to specify a test variable and a state variable. For example, you can save predicted probabilities from a logistic regression command and use those as your test variable. AUCs can be estimated nonparametrically or under the assumption of a binegative exponential distribution. You also have the option of getting each of the coordinates of the empirical ROC.

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