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 2026-07-28

Avg quality 46/100 how meaningful, mean
Numerator-driven 50% of ratios
Misleading up 3 rising on low quality
Real weakness 3 numerator-driven down

Alerts — misleading strength & real weakness

Misleading strength — Nasdaq Ex-Top-30 Breadth strong · 100

Nasdaq Ex-Top-30 Breadth rising mainly because QTOP fell sharply — a mechanically misleading improvement.

  • Ratio +3.9% over 21d
  • Quality score 20/100 (Denominator collapse)
  • Denominator-driven (80% of the move)
Misleading strength — Nasdaq-100 Equal-Weight Breadth strong · 100

Nasdaq-100 Equal-Weight Breadth rising mainly because QQQ fell sharply — a mechanically misleading improvement.

  • Ratio +2.6% over 21d
  • Quality score 30/100 (Denominator collapse)
  • Denominator-driven (70% of the move)
Misleading strength — Credit Breadth strong · 100

Credit Breadth rising mainly because LQD fell sharply — a mechanically misleading improvement.

  • Ratio +2.1% over 21d
  • Quality score 2/100 (Denominator collapse)
  • Denominator-driven (98% of the move)
Real weakness — Semiconductor Leadership strong · 100

Semiconductor Leadership falling on SMH weakness — SMH dropping faster than XLK, a high-quality warning.

  • Ratio -8.3% over 21d
  • Quality score 72/100 (numerator-driven)
  • Confirmed across 1d/21d/63d
Real weakness — AI Participation strong · 100

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

  • Ratio -4% over 21d
  • Quality score 63/100 (numerator-driven)
  • Confirmed across 1d/21d/63d
Real weakness — Micro-Cap Breadth elevated · 56

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

  • Ratio -0.8% over 21d
  • Quality score 57/100 (numerator-driven)
  • Confirmed across 1d/21d/63d

Every ratio — decomposed (21-day)

RatioStateQualityDriverNumDenRatioTF
Credit Breadth HYG/LQD Denominator collapse
2
denominator -0.1% -2.1% +2.1% mixed
Nasdaq Ex-Top-30 Breadth QNXT/QTOP Denominator collapse
20
denominator -1.3% -5% +3.9% aligned
Ex-Mag-7 Breadth XMAG/SPY Absolute weakness
27
denominator -0.7% +1.6% -2.3% mixed
Nasdaq-100 Equal-Weight Breadth QQQE/QQQ Denominator collapse
30
denominator -1.9% -4.4% +2.6% aligned
Small-Cap Breadth IWM/SPY Absolute weakness
51
numerator -2.2% +1.6% -3.7% mixed
S&P 500 Equal-Weight Breadth RSP/SPY Strong leadership
68
numerator +3.5% +1.6% +1.9% aligned
High-Beta Breadth SPHB/SPLV Absolute weakness
72
numerator -7.6% +3.1% -10.4% aligned
Mid-Cap Breadth MDY/SPY Absolute weakness
15
denominator -0.3% +1.6% -1.9% mixed
Cyclical Breadth XLI/XLU Absolute leadership
32
denominator +0.7% -1.5% +2.2% aligned
Consumer Risk Breadth XLY/XLP Absolute weakness
38
denominator -1.7% +2.8% -4.3% aligned
Nasdaq Ex-Tech Breadth QQXT/QQQ Absolute leadership
42
denominator +3.3% -4.4% +8% aligned
Ex-Tech S&P Breadth SPXT/SPY Strong leadership
54
numerator +2.6% +1.6% +0.9% mixed
Semiconductor Leadership SMH/XLK Strong deterioration
72
numerator -13.4% -5.5% -8.3% aligned
Large Growth vs Value IWF/IWD Absolute weakness
37
denominator -2.2% +3.8% -5.8% aligned
Software Participation IGV/XLK Absolute leadership
41
denominator +4.1% -5.5% +10.2% aligned
Extended-Market Breadth VXF/SPY Absolute weakness
46
numerator -1.7% +1.6% -3.3% mixed
Micro-Cap Breadth IWC/IWM Strong deterioration
57
numerator -2.9% -2.2% -0.8% aligned
Nasdaq Tech vs Ex-Tech QTEC/QQXT Absolute weakness
63
numerator -7.9% +3.3% -10.8% mixed
AI Participation AIQ/XLK Strong deterioration
63
numerator -9.4% -5.5% -4% aligned
Financial Risk Breadth KBE/XLU Absolute leadership
65
numerator +2.7% -1.5% +4.3% aligned
Small Growth Breadth IWO/IWN Absolute weakness
78
numerator -4.3% +1.2% -5.4% aligned
Internet Participation FDN/XLK Absolute leadership
35
denominator +3.8% -5.5% +9.9% 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.