22 lines
1.2 KiB
Markdown
22 lines
1.2 KiB
Markdown
# QUEUE-20 — Effective independent names in the 50-ETF book (no qrun)
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**Status:** QUEUED · **Priority:** P2 · **Effort:** ad-hoc script under `book/data/`
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## Hypothesis (settle)
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The 50-ETF book has only ~4 effective independent names (CLAIMS.md HYPOTHESIS,
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chat-derived eigenvalue analysis, pre-reset). This is a concentration/diversification
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claim with direct sizing relevance; verify it on the clean lake.
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## Method (persist everything under `book/data/evidence/q20-effective-names/`)
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1. Load the 50-ETF panel 1d returns from the lake for the test window 2026-01-04..2026-08-10.
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2. Standardize returns; compute the correlation matrix and its eigendecomposition.
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3. Count eigenvalues above the Marchenko–Pastur bound (N=50, T≈150) and report the
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cumulative-variance share of the top k components.
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4. Effective-rank measures: participation ratio `(Σλ)² / Σλ²` and cumulative 80%
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variance count.
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5. Write `eigenanalysis.csv` + a one-page summary.
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## Acceptance
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- If effective rank ≈ 4 (top-4 explain ~80%+ variance), the concentration claim is
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PROVEN and feeds chapter 08 sizing guidance (why topk 10→20 adds no breadth).
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- If effective rank is much larger, mark the claim REFUTED. |