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 2026-07-31

Avg quality 55/100 how meaningful, mean
Numerator-driven 63.6% of ratios
Misleading up 2 rising on low quality
Real weakness 4 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 +4% over 21d
  • Quality score 22/100 (Denominator collapse)
  • Denominator-driven (75% of the move)
Misleading strength — Credit Breadth strong · 100

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

  • Ratio +1.9% over 21d
  • Quality score 6/100 (Denominator collapse)
  • Denominator-driven (94% 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 -7.8% over 21d
  • Quality score 63/100 (numerator-driven)
  • Single-horizon
Real weakness — Micro-Cap Breadth strong · 100

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

  • Ratio -3.7% over 21d
  • Quality score 70/100 (numerator-driven)
  • Confirmed across 1d/21d/63d
Real weakness — AI Participation strong · 77

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

  • Ratio -2% over 21d
  • Quality score 51/100 (numerator-driven)
  • Single-horizon
Real weakness — Cyclical Breadth elevated · 65

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

  • Ratio -1% over 21d
  • Quality score 52/100 (numerator-driven)
  • Single-horizon

Every ratio — decomposed (21-day)

RatioStateQualityDriverNumDenRatioTF
Credit Breadth HYG/LQD Denominator collapse
6
denominator -0.1% -2% +1.9% aligned
Nasdaq Ex-Top-30 Breadth QNXT/QTOP Denominator collapse
22
denominator -1.9% -5.6% +4% mixed
Nasdaq-100 Equal-Weight Breadth QQQE/QQQ Defensive improvement
35
denominator -3.3% -5.1% +1.9% mixed
High-Beta Breadth SPHB/SPLV Absolute weakness
65
numerator -8.2% +1.5% -9.5% mixed
S&P 500 Equal-Weight Breadth RSP/SPY Absolute leadership
72
numerator +0.7% +0.2% +0.6% mixed
Ex-Mag-7 Breadth XMAG/SPY Absolute weakness
81
numerator -1.9% +0.2% -2% mixed
Small-Cap Breadth IWM/SPY Absolute weakness
83
numerator -2.7% +0.2% -2.9% mixed
Nasdaq Ex-Tech Breadth QQXT/QQQ Absolute leadership
18
denominator +1.6% -5.1% +7.1% mixed
Consumer Risk Breadth XLY/XLP Absolute weakness
40
denominator -1.7% +2.1% -3.7% mixed
Cyclical Breadth XLI/XLU Strong deterioration
52
numerator -1.9% -0.9% -1% mixed
Semiconductor Leadership SMH/XLK Strong deterioration
63
numerator -12.9% -5.5% -7.8% mixed
Ex-Tech S&P Breadth SPXT/SPY Absolute leadership
78
numerator +1.3% +0.2% +1.1% mixed
Mid-Cap Breadth MDY/SPY Absolute weakness
90
numerator -1.5% +0.2% -1.7% aligned
Software Participation IGV/XLK Absolute leadership
19
denominator +1.3% -5.5% +7.3% aligned
Financial Risk Breadth KBE/XLU Absolute leadership
29
denominator +0.4% -0.9% +1.3% aligned
Large Growth vs Value IWF/IWD Absolute weakness
48
numerator -3.8% +3.3% -6.9% mixed
AI Participation AIQ/XLK Strong deterioration
51
numerator -7.4% -5.5% -2% mixed
Micro-Cap Breadth IWC/IWM Strong deterioration
70
numerator -6.3% -2.7% -3.7% aligned
Nasdaq Tech vs Ex-Tech QTEC/QQXT Absolute weakness
75
numerator -8.5% +1.6% -9.9% mixed
Extended-Market Breadth VXF/SPY Absolute weakness
84
numerator -3.6% +0.2% -3.7% mixed
Small Growth Breadth IWO/IWN Absolute weakness
96
numerator -5.2% -0.2% -5% aligned
Internet Participation FDN/XLK Absolute leadership
22
denominator +1.9% -5.5% +7.9% 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.