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Recall, Precision and Elusion Testing in Document Review
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Fundamentals GUIDE
Precision and recall are two complementary metrics for evaluating classifiers, especially when classes are imbalanced.
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Together they reveal what plain accuracy hides — how often a model's positive predictions are right, and how many real positives it actually catches.
When a model flags items as positive, two questions matter. Precision asks: of everything we flagged, how much was truly positive? It equals true positives divided by all predicted positives, penalizing false alarms. Recall (sensitivity) asks: of all the real positives out there, how many did we catch? It equals true positives divided by all actual positives, penalizing misses. These usually trade off: lowering the decision threshold catches more positives (higher recall) but flags more junk (lower precision), and vice versa. Which to prioritize depends on costs — a spam filter favors precision (don't trash real mail), while a cancer screen favors recall (don't miss a tumor). The F1 score, their harmonic mean, balances both in one number.
Spam filters tune for high precision so legitimate emails are almost never wrongly sent to the spam folder.
Medical screening tests prioritize high recall to avoid missing patients who actually have the disease, accepting more false positives for follow-up.
Search and recommendation systems report precision@k (how many of the top k results are relevant) to measure ranking quality.
Fraud detection balances precision and recall via the F1 score, since both false alarms and missed fraud are costly.
As AI enters high-stakes domains — medical diagnosis, content moderation, fraud — teams increasingly report precision and recall (and their curves) rather than accuracy alone, and tune thresholds to match real-world costs and fairness constraints. Per-group precision/recall audits are becoming standard for detecting disparate error rates across demographics. Expect richer cost-sensitive metrics, calibrated probabilities, and tooling that lets stakeholders pick operating points interactively rather than accepting a default 0.5 threshold.
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Precision and recall are two complementary metrics for evaluating classifiers, especially when classes are imbalanced. Together they reveal what plain accuracy hides — how often a model's positive predictions are right, and how many real positives it actually catches.
Precision = TP / (TP + FP) measures the correctness of the model's positive predictions — how trustworthy a positive flag is.
Lowering the threshold expands or preserves the predicted-positive set. It may catch additional true positives and additional false positives; changes depend on which items cross the threshold.
Accuracy can be dominated by correct negative predictions. Precision and recall examine positive flags and missed positives using TP, FP, and FN.
Precision@10 measures the relevant fraction among the top ten results: 6/10 = 60%.
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