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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 2026-06-05

Avg quality 51/100 how meaningful, mean
Numerator-driven 59.1% of ratios
Misleading up 1 rising on low quality
Real weakness 3 numerator-driven down

Alerts — misleading strength & real weakness

Misleading strength — Financial Risk Breadth strong · 100

Financial Risk Breadth rising mainly because XLU fell sharply — a mechanically misleading improvement.

  • Ratio +2.1% over 21d
  • Quality score 21/100 (Denominator collapse)
  • Denominator-driven (76% of the move)
Real weakness — Consumer Risk Breadth strong · 100

Consumer Risk Breadth falling on XLY weakness — XLY dropping faster than XLP, a high-quality warning.

  • Ratio -3.3% over 21d
  • Quality score 72/100 (numerator-driven)
  • Single-horizon
Real weakness — Micro-Cap Breadth strong · 89

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

  • Ratio -2% over 21d
  • Quality score 68/100 (numerator-driven)
  • Confirmed across 1d/21d/63d
Real weakness — Small Growth Breadth elevated · 51

Small Growth Breadth falling on IWO weakness — IWO dropping faster than IWN, a high-quality warning.

  • Ratio -0.6% over 21d
  • Quality score 51/100 (numerator-driven)
  • Single-horizon

Every ratio — decomposed (21-day)

RatioStateQualityDriverNumDenRatioTF
Credit Breadth HYG/LQD Flat
42
denominator -0.4% -0.6% +0.2% aligned
Nasdaq-100 Equal-Weight Breadth QQQE/QQQ Strong leadership
62
numerator +3.2% +1.3% +1.9% mixed
S&P 500 Equal-Weight Breadth RSP/SPY Strong leadership
65
numerator +1.5% +0.5% +0.9% mixed
Ex-Mag-7 Breadth XMAG/SPY Strong leadership
69
numerator +1.8% +0.5% +1.3% mixed
Small-Cap Breadth IWM/SPY Absolute weakness
69
numerator -1.8% +0.5% -2.3% mixed
High-Beta Breadth SPHB/SPLV Strong leadership
72
numerator +1.7% +0.4% +1.3% mixed
Nasdaq Ex-Top-30 Breadth QNXT/QTOP Strong leadership
82
numerator +5% +0.4% +4.6% mixed
Cyclical Breadth XLI/XLU Defensive improvement
30
denominator -1.5% -3% +1.5% mixed
Nasdaq Ex-Tech Breadth QQXT/QQQ Absolute weakness
33
denominator -0.8% +1.3% -2.1% mixed
Semiconductor Leadership SMH/XLK Lagging in rally
33
denominator +3.6% +6% -2.3% mixed
Mid-Cap Breadth MDY/SPY Absolute weakness
57
numerator -0.9% +0.5% -1.4% mixed
Ex-Tech S&P Breadth SPXT/SPY Absolute weakness
67
numerator -1.5% +0.5% -2% mixed
Consumer Risk Breadth XLY/XLP Strong deterioration
72
numerator -4.2% -0.9% -3.3% mixed
Large Growth vs Value IWF/IWD Numerator lag
18
denominator +0.2% +0.8% -0.6% mixed
Financial Risk Breadth KBE/XLU Denominator collapse
21
denominator -0.9% -3% +2.1% mixed
Extended-Market Breadth VXF/SPY Numerator lag
24
denominator -0.2% +0.5% -0.7% mixed
AI Participation AIQ/XLK Lagging in rally
38
denominator +3.7% +6% -2.2% aligned
Small Growth Breadth IWO/IWN Strong deterioration
51
numerator -2.1% -1.6% -0.6% mixed
Software Participation IGV/XLK Strong leadership
53
numerator +9.1% +6% +2.9% mixed
Micro-Cap Breadth IWC/IWM Strong deterioration
68
numerator -3.8% -1.8% -2% aligned
Nasdaq Tech vs Ex-Tech QTEC/QQXT Absolute leadership
79
numerator +7.1% -0.8% +7.9% mixed
Internet Participation FDN/XLK Numerator lag
21
denominator +1.8% +6% -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.