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Use case 1 · Bayesian audit monitoring

When review becomes a rubber stamp

The pattern

A plan watches how often reviewers agree with the AI. Rising agreement looks like success. It can also mean reviewers have stopped checking.

Question
Is clinician review still catching AI errors?
Lane
Human review
Basis
State law and standard practice

What METRIS does

  • Blind re-review of a random monthly sample of AI-assisted denials
  • Estimate the catch rate: of the AI's wrong recommendations, how many reviewers overturned
  • Alert when the catch rate is credibly below target, with an interval, not a guess

The metric plans watch vs. the one that matters

Simulation study · synthetic data
Agreement rate and estimated catch rate by monthAgreement with AIEstimated catch rate, 95% intervalTrue catch rate0%25%50%75%100%136912MonthFlaggedTarget: catch at least 50%

Agreement with the AI rose from 91.2% to 96.9%, which looks like improvement. Over the same months the true catch rate (dashed) fell from 70% to 15%. Auditing 150 cases a month flagged it in month 8.

Method

catch rate c | audit ~ Beta(1 + caught, 1 + missed) (3-month window) flag when P(c < 0.50 | data) > 0.95
Decisions
2,000 a month
AI error rate
10%
Catch rate
70% → 15% from month 5 to 9
Audit
Random blind re-review
Runs
1,000 per audit size

Agreement mixes cases where the AI was right with cases where it was wrong, so it rises when reviewers stop catching errors. Only an independent audit separates the two.

How fast an audit finds it

Monte Carlo · synthetic data
Share of simulated runs flagged by month, by audit size30/month60/month150/month600/month0%25%50%75%100%1357912MonthRuns flaggedDecline begins

Across 1,000 simulated years, auditing 150 cases a month flagged the decline by month 9 in 95% of runs; auditing 30 flagged it in 48%. Larger audits flag the decline sooner.

Reproducibility

Monthly decisions, AI errors, reviewer catches and audit draws are binomial; posteriors are Beta with a uniform prior. Random seed 20261013; Python with NumPy 2.5.3 and SciPy.

Sources

This pattern is not based on any single record. Its figures come from the model stated above.

A statistical study of a pattern, not of any event. It identifies no organization or person. Simulated figures use synthetic data; published figures are industry-wide.