Case quality review

Figure 01 / 12

The evaluated population

The cohort contains 2,800 quality-reviewed cases, of which 210 have the defined synthetic outcome: Material case decision defect. The outcome is known by construction here. In production, label uncertainty and selection must be recorded separately.

Figure data and text version

Outcome	Count
Material case decision defect	210
Other labeled outcomes	2,590

Quality review needs a defined defect and a sampling plan. Agreement between reviewers is useful but does not prove that either conclusion matches the evidence.

Sample by decision type and consequence and distinguish disagreement from verified error.

All amounts, rates, capacity limits, and outcomes in this case are synthetic. The three conditions are separate assumptions for comparison. A better result in the response condition is not measured proof that the proposed control causes that improvement. The figures expose the calculation and its limits; a real deployment needs its own evidence.

Read the result

The rule flags 212 of 2,800 quality-reviewed cases. Of those flags, 181 meet the synthetic target, giving 85.38% precision. It misses 29 target events. Under the stated cost assumptions, residual loss and operating friction total $4,193. The important result is the connection between the population, action, capacity, and outcome—not one isolated score.

Figure 02 / 12

Four outcomes of the rule

The rule flags 181 synthetic positives and 31 negatives. It misses 29 positives. A flagged item is a decision to intervene; it is not proof of fraud, a legal prohibition, or any other real-world conclusion.

Figure data and text version

Known outcome	Flagged	Not flagged
Material case decision defect	181	29
Other outcome	31	2,559

Figure 03 / 12

Three rates with different denominators

Precision is 85.38%, recall is 86.19%, and the false-positive rate is 1.2%. Changing the denominator changes the meaning. This record keeps each numerator attached to the population from which it came.

Figure data and text version

Metric	Numerator	Denominator	Result
Precision	181	212	85.38%
Recall	181	210	86.19%
False-positive rate	31	2,590	1.2%

Figure 04 / 12

Precision changes with prevalence

This sensitivity plot holds recall at 86% and false-positive rate at 1.2%, then changes prevalence. It is an algebraic comparison, not a forecast. Even unchanged detection quality can produce a very different review queue when the base rate changes. Horizontal positions are the labeled observations or scenarios; equal spacing does not imply equal numerical increments.

Figure data and text version

Assumed prevalence	Precision %
0.1%	6.69
0.5%	26.48
1%	41.99
2%	59.39
5%	79.04
10%	88.84

Figure 05 / 12

The threshold trade-off

Six illustrative score bands use a stated pair of detection rates. Lower sensitivity can reduce false alarms but miss more target events. These points do not come from a trained model and do not establish the best operating threshold. Horizontal positions are the labeled observations or scenarios; equal spacing does not imply equal numerical increments.

Figure data and text version

Score band	True positives	False positives
Band 1	206	388
Band 2	197	207
Band 3	181	91
Band 4	151	31
Band 5	105	10
Band 6	52	3

Figure 06 / 12

A transparent loss-and-friction calculation

At $110 severity per missed synthetic positive, residual loss is $3,190. Review costs $848; lost contribution on false alarms is $155. The calculation assumes intervention prevents all flagged-positive loss and each false alarm loses the stated contribution. Relax those assumptions before applying it to a real policy.

Figure data and text version

Cost component	USD
Missed-positive loss	3,190
Review cost	848
False-alarm contribution	155

Figure 07 / 12

Observed outcomes mature over time

The final synthetic positive count is 210. Earlier observations reveal only a stated fraction. Comparing a day-1 cohort with a day-30 cohort would confuse label age with control quality. This curve models observation delay only; it does not change the final outcome. Horizontal positions are the labeled observations or scenarios; equal spacing does not imply equal numerical increments.

Figure data and text version

Days after event	Observed positives
1	38
3	74
7	126
14	172
30	210

Figure 08 / 12

Review demand and available capacity

The flag count is 212. The comparison capacity is an illustrative 112 reviews per cohort window. A mathematical rule can be coherent while its resulting workload exceeds the operating team’s capacity. Capacity is not permission to ignore an applicable mandatory control.

Figure data and text version

Queue measure	Items
Flagged for review	212
Available capacity	112
Excess demand	100

Figure 09 / 12

A feature is an observation with provenance

This evidence contract supports use quality controls that improve decisions. A value needs its event time, arrival time, scope, and source. Keeping unavailable evidence distinct from a measured zero prevents an outage from becoming a falsely reassuring feature.

Figure data and text version

Field	Example	Meaning
entity_ref	Case quality review	Subject of this case
event_time	2026-09-18T09:00:00Z	When the event occurred
received_time	2026-09-18T09:00:02Z	When the system learned it
signal_status	repaired	Evidence quality, not an outcome
label_definition	Material case decision defect	The target used in these calculations

Figure 10 / 12

Missing evidence changes the observed population

The cells show an explicitly constructed completeness profile for three signal groups. The stress condition removes more history and device evidence. Missingness does not prove the target outcome; it changes what the decision process knows.

Figure data and text version

Signal group	Available	Missing
Identity evidence	2,786	14
Activity history	2,758	42
Context signal	2,716	84

Figure 11 / 12

Evidence, score, and action remain separate

The policy can use use quality controls that improve decisions only within its approved scope. The action record must retain which evidence was available, which model or rule ran, and which action was actually applied. The final action can differ from the score recommendation when a separate constraint applies.

Figure data and text version

Stage	Record
Observe	Case quality review: evidence as of the decision time
Evaluate	Rule flags 212 of 2,800 quality-reviewed cases
Apply	Record action, reason, owner, and expiry
Reconcile	Join the action to later outcomes without overwriting history

Figure 12 / 12

What the result cannot establish

Observed classifications do not reveal every counterfactual. The synthetic labels make arithmetic possible, but production decline data is selected by prior policy. Keep measured outcomes, assumed prevention, and unknown alternatives separate when reporting impact.

Figure data and text version

Claim	Evidence in this case	Limit
Detected target	181 known synthetic positives flagged	Production labels may be delayed or wrong
Prevented loss	Assumed 19,910 USD	Requires an intervention-effect assumption
Customer impact	31 synthetic negatives flagged	Not every flag causes abandonment
Unobserved alternative	Outcome without the action	Needs a valid evaluation design

Connect the result to the system

Sample by decision type and consequence and distinguish disagreement from verified error.

Check the population, evidence, permitted action, and actual effect together. A balanced calculation can still use the wrong population; a successful response can still leave an unknown financial outcome. The case’s numerical result applies only to its stated assumptions.