QOCTS

QOCTS Formula Library.

The calculation layer behind coherence, efficiency, transfer, and readiness.

Loop

QOCTS Loop

Input → Control → Process → Align → Measure → Adjust

The core behavioural control loop. Every session must pass through the loop and close with a trace.

Coherence

Coherence Score (CS25)

CS25 = Consistency + Control + Stability + Completion + Transfer

The five-anchor coherence reading for a single session.

Scale: 0–25

0–10 unstable
11–15 developing
16–20 functional
21–25 strong

Coherence Score (CS100)

CS100 = CS25 × 4

Normalised 0–100 view for dashboards and institutional reporting.

Scale: 0–100

Rolling

Rolling Mean 5 (RM5)

RM5 = average of latest 5 completed CS25 scores

Tactical correction window.

Rolling Mean 10 (RM10)

RM10 = average of latest 10 completed CS25 scores

Stage-decision window.

Stability

Variability Index (VI)

VI = standard deviation of latest scores ÷ mean score × 100

Detects instability hidden by acceptable averages.

VI ≤ 10% stable
10–20% variable
> 20% unstable

Transfer

Transfer Index (TI)

TI = average transfer score across transfer sessions. TI% = sessions with transfer ≥ 3 ÷ total relevant sessions × 100

Measures carry-over into less controlled contexts.

Drift

Drift Index (DI)

DI = avg(Input Drift + State Drift + Process Drift + Closure Drift)

Shows where the system is losing order.

Scale: 0–5 or 0–100

Completion

Completion Integrity (CI)

CI = completed required session steps ÷ total required session steps × 100

Required steps: Prep, Input Control, Execution, Checkpoint, Record, Close.

Readiness

Stage Readiness Score (SRS)

SRS = 0.40 × RM5_norm + 0.20 × Stability + 0.20 × Transfer + 0.10 × CI + 0.10 × Evidence Completeness

Stability = 100 − capped VI. Transfer = normalised TI. Evidence = required ÷ completed × 100.

< 60 hold
60–79 developing
80+ stage-ready if no severe evidence gaps

L1 Readiness Gate

L1 Ready for Review = 30 sessions AND modules complete AND final reflection AND stage evidence AND transfer evidence AND pilot acknowledgement

Output: Not Started / In Progress / Evidence Complete / Ready for Review / Needs More Evidence / Reviewed. Never outputs Certified.

Evidence

Evidence Completeness (EC)

EC = completed evidence requirements ÷ required evidence requirements × 100

Used for L1 readiness reports.

Efficiency

QOCTS-E Efficiency Score (ES)

ES = Performance / (Energy × Time × Adjusted Friction) where Adjusted Friction = Observed Friction + 1

Performance per unit of cost.

Delta Efficiency (DES)

DES = Current ES − Previous ES

Movement between efficiency sessions.

Cost Ratio (CR)

CR = (Energy + Time + Adjusted Friction) / 3

Average cost dimension per session.

QOCTS-E State (Force / Control / Flow)

Force: P≥70 AND CR≥6.5 · Control: P≥60 AND CR 3.5–6.49 · Flow: P≥75 AND CR<3.5 · System Degradation: P<60

Operating state classification from a single efficiency reading.

Cohort

Cohort Health Snapshot

Cohort Health = engagement + completion + avg rolling score + transfer evidence − high burden signals − inactive count

Admin-only pilot overview.

Support

Support Signal Index

Support Signal Index = weighted(burden + distress + score pressure + overload + repeated Force states)

Internal support only — not disciplinary.

Formulas inform readiness decisions only. No formula automatically produces certification, accreditation, or official qualification.

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