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Market X-Ray · Toolbox 3

Ratio-Quality Decomposition

A rising ratio is ambiguous. IWM/SPY can rise because small-caps led — or because the S&P fell. This decomposes every structural ratio into what the numerator did versus the denominator, and scores how meaningful the move is: numerator-driven and consistent across horizons = high quality; denominator-driven or one-horizon = low quality, mechanically misleading. Quality is reliability, not direction.

Updated daily · data as of 2026-06-10

Avg quality 44/100 how meaningful, mean
Numerator-driven 40.9% of ratios
Misleading up 1 rising on low quality
Real weakness 3 numerator-driven down

Alerts — misleading strength & real weakness

Misleading strength — Mid-Cap Breadth strong · 100

Mid-Cap Breadth rising mainly because SPY fell sharply — a mechanically misleading improvement.

  • Ratio +1.6% over 21d
  • Quality score 12/100 (Denominator collapse)
  • Denominator-driven (88% of the move)
Real weakness — Micro-Cap Breadth strong · 99

Micro-Cap Breadth falling on IWC weakness — IWC dropping faster than IWM, a high-quality warning.

  • Ratio -2.2% over 21d
  • Quality score 75/100 (numerator-driven)
  • Confirmed across 1d/21d/63d
Real weakness — AI Participation strong · 87

AI Participation falling on AIQ weakness — AIQ dropping faster than XLK, a high-quality warning.

  • Ratio -1.7% over 21d
  • Quality score 77/100 (numerator-driven)
  • Confirmed across 1d/21d/63d
Real weakness — Cyclical Breadth elevated · 54

Cyclical Breadth falling on XLI weakness — XLI dropping faster than XLU, a high-quality warning.

  • Ratio -0.6% over 21d
  • Quality score 49/100 (numerator-driven)
  • Single-horizon

Every ratio — decomposed (21-day)

RatioStateQualityDriverNumDenRatioTF
Nasdaq-100 Equal-Weight Breadth QQQE/QQQ Absolute leadership
11
denominator +0.4% -2.7% +3.2% mixed
Credit Breadth HYG/LQD Flat
28
denominator -0.1% -0.3% +0.2% aligned
Nasdaq Ex-Top-30 Breadth QNXT/QTOP Absolute leadership
30
denominator +2.1% -4% +6.4% mixed
S&P 500 Equal-Weight Breadth RSP/SPY Absolute leadership
35
denominator +1.2% -1.9% +3.2% mixed
Small-Cap Breadth IWM/SPY Defensive improvement
38
denominator -1.1% -1.9% +0.7% aligned
Ex-Mag-7 Breadth XMAG/SPY Absolute leadership
40
denominator +1.3% -1.9% +3.2% aligned
High-Beta Breadth SPHB/SPLV Absolute weakness
44
denominator -1.8% +1.9% -3.6% mixed
Mid-Cap Breadth MDY/SPY Denominator collapse
12
denominator -0.3% -1.9% +1.6% aligned
Nasdaq Ex-Tech Breadth QQXT/QQQ Absolute leadership
13
denominator +0.5% -2.7% +3.3% mixed
Ex-Tech S&P Breadth SPXT/SPY Defensive improvement
34
denominator -1.2% -1.9% +0.7% mixed
Cyclical Breadth XLI/XLU Strong deterioration
49
numerator -3.1% -2.5% -0.6% mixed
Semiconductor Leadership SMH/XLK Flat
51
numerator -0.9% -0.7% -0.2% mixed
Consumer Risk Breadth XLY/XLP Absolute weakness
67
numerator -4.9% +2.5% -7.3% aligned
Extended-Market Breadth VXF/SPY Absolute leadership
18
denominator +0.4% -1.9% +2.3% aligned
Nasdaq Tech vs Ex-Tech QTEC/QQXT Flat
39
denominator +0.4% +0.5% -0.1% mixed
Software Participation IGV/XLK Absolute leadership
51
numerator +1% -0.7% +1.7% mixed
Financial Risk Breadth KBE/XLU Absolute leadership
59
numerator +3.7% -2.5% +6.4% aligned
Micro-Cap Breadth IWC/IWM Strong deterioration
75
numerator -3.3% -1.1% -2.2% aligned
AI Participation AIQ/XLK Strong deterioration
77
numerator -2.4% -0.7% -1.7% aligned
Small Growth Breadth IWO/IWN Absolute weakness
83
numerator -2% -0.1% -1.9% mixed
Large Growth vs Value IWF/IWD Absolute weakness
92
numerator -3.1% +0.3% -3.4% aligned
Internet Participation FDN/XLK Defensive improvement
29
denominator -0.3% -0.7% +0.4% mixed

How to read it

Using log returns, ratio return = numerator return − denominator return, so each leg's contribution is exact. The quality score is the numerator's share of the move scaled by how consistently the ratio points the same way across 1, 21 and 63 days — high when the asset we track is genuinely the story, low when the move is a denominator artifact. Misleading strength = a ratio rising on a denominator collapse; real weakness = a ratio falling because the numerator itself is deteriorating, confirmed across horizons.

For information and discussion only — a reading of market internals, not investment advice. Thresholds are uncalibrated pending the planned backtest. Pairs with Breadth-of-Breadth and the Beta-Instability X-Ray.