Cut-Offs (ROC)

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Psychometrics (legacy hub)

Independently verified. Every statistic this test reports has been re-derived against an independent reference — never the library the pipeline itself calls — the rendered output was read back in a browser, and the result is locked with a committed regression suite.

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Determines the OPTIMAL CUT-OFF score on a continuous test for binary classification (case vs non-case, pass vs fail) by ROC curve analysis.

Reports: (1) full ROC curve; (2) AUC + 95% CI (DeLong); (3) Youden's J optimal cutpoint (maximises sensitivity + specificity − 1); (4) per-cutpoint Sn / Sp / PPV / NPV / +LR / −LR; (5) alternative cutpoints (e.g., 90% sensitivity, 80% specificity). Required for any screening / diagnostic instrument with a continuous score and a known gold-standard binary outcome.

Worked example

What score best screens for the condition?

ROC analysis against a gold-standard diagnosis identifies the cut score maximising sensitivity + specificity (Youden's J).

Result

A cut of ≥ 14 was optimal (Youden's J = .58; sensitivity 82%, specificity 76%; AUC = .86).

How you'd report it (APA)

The optimal screening cut-off was ≥ 14 (sensitivity 82%, specificity 76%, AUC = .86).

When to use it

  • Screening-instrument cutoff against gold standard
    21-item depression screener (PHQ-9 candidate) on n=600 with gold-standard SCID-diagnosed depression.
  • High-stakes classification / decision support
    Pre-employment cognitive screen for safety-critical role.

When NOT to — use instead

Assumptions (and what to do if they fail)

Binary criterion (0 / 1)medium

Check: See the assumption diagnostics in the workspace.

If violated: The workspace flags this and suggests a robust or nonparametric alternative.

Continuous test scoremedium

Check: See the assumption diagnostics in the workspace.

If violated: The workspace flags this and suggests a robust or nonparametric alternative.

Listwise exclusion of missing pairsmedium

Check: See the assumption diagnostics in the workspace.

If violated: The workspace flags this and suggests a robust or nonparametric alternative.

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