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waggle-os/benchmarks/calibration/v6-kappa-recal/kappa-v6-analysis.md
Oleg Maslov 0c3e2ead3b
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Manifest v6 κ Re-Calibration Analysis

Date: 2026-04-24 Parent: 38a830e (v6 Phase 1 Commit 2) v6 anchor: 60d061e

Sample: 100 instances from benchmarks/results/locomo-mini-n20-retry-2026-04-24T00-02-12Z.jsonl (authoritative v5 κ set; zero new Opus/GPT calls).

MiniMax verdicts: 100 calls via OpenRouter minimax/minimax-m2.7 (v6 alias: minimax-m27-via-openrouter); direct HTTP probe (LiteLLM proxy not in loop — isolates model behavior from middleware).

Prompt: verbatim failure-mode-judge.ts:245-258 (same as §1.3g / §1.3h / §1.3h-C). Parameters: temperature=0.0, max_tokens=4096.


§1 Three pairwise Cohen's κ

Pair n Agree Raw % κ
Opus vs GPT 100 93 93.00% 0.8480
Opus vs MiniMax 100 93 93.00% 0.8549
GPT vs MiniMax 100 90 90.00% 0.7878

Conservative trio κ = min = 0.7878

§2 Verdict: PASS

Per v6 §5.4 gate criteria:

  • κ_trio ≥ 0.70 → PASS, halt with PM-RATIFY-V6-KAPPA
  • 0.60 ≤ κ_trio < 0.70 → BORDERLINE, halt with PM adjudication
  • κ_trio < 0.60 → FAIL, halt with swap-path-re-evaluation

§3 Confusion matrices

Opus vs GPT

GPT=correct GPT=incorrect
Opus=correct 32 7
Opus=incorrect 0 61

Opus vs MiniMax

MiniMax=correct MiniMax=incorrect
Opus=correct 37 2
Opus=incorrect 5 56

GPT vs MiniMax

MiniMax=correct MiniMax=incorrect
GPT=correct 32 0
GPT=incorrect 10 58

§4 Per-cell κ breakdown (n=20 per cell)

Cell n MiniMax parsed κ(Opus,GPT) κ(Opus,MiniMax) κ(GPT,MiniMax)
no-context 20 20 1.0000 1.0000 1.0000
oracle-context 20 20 0.7059 0.7917 0.7059
full-context 20 20 0.8000 0.7000 0.7059
retrieval 20 20 1.0000 0.8936 0.8936
agentic 20 20 0.7826 0.8980 0.6875

§5 MiniMax operational metrics

  • Calls: 100 total, parsed OK: 100/100 (100.0%)
  • Routing errors (non-200 HTTP): 0/100 (0.0%)
  • Total retries: 0
  • Latency p50: 11.9 s | p95: 31.4 s
  • Token usage: prompt = 53,855, completion = 48,920
  • Cost actual (OR MiniMax pricing $0.30/$1.20 per 1M): ~$0.0749

Per brief §3.5 operational hedge thresholds:

  • parse ≥95/100 target: MET — actual 100/100
  • parse ≥90/100 halt: MET — actual 100/100
  • latency p50 ≤25s: MET — actual 11.9s
  • OR routing errors <5%: MET — actual 0.0%

§6 Comparison to v5 historical baseline

v5 κ baseline reference: Fleiss' κ=0.7458 on three-way Opus+GPT+Gemini ensemble. v6 κ(Opus, GPT) pairwise: 0.8480 — sanity check. If significantly different from v5 baseline range (~0.74-0.82 for a high-agreement pair), investigate. v6 conservative trio κ (Opus+GPT+MiniMax): 0.7878.