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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 2026-06-26

Avg quality 46/100 how meaningful, mean
Numerator-driven 59.1% of ratios
Misleading up 2 rising on low quality
Real weakness 3 numerator-driven down

Alerts — misleading strength & real weakness

Misleading strength — Nasdaq Ex-Tech Breadth strong · 100

Nasdaq Ex-Tech Breadth rising mainly because QQQ fell sharply — a mechanically misleading improvement.

  • Ratio +2.6% over 21d
  • Quality score 13/100 (Denominator collapse)
  • Denominator-driven (85% of the move)
Misleading strength — Ex-Tech S&P Breadth strong · 100

Ex-Tech S&P Breadth rising mainly because SPY fell sharply — a mechanically misleading improvement.

  • Ratio +1.9% over 21d
  • Quality score 21/100 (Denominator collapse)
  • Denominator-driven (77% of the move)
Real weakness — Software Participation strong · 100

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

  • Ratio -3.6% over 21d
  • Quality score 67/100 (numerator-driven)
  • Single-horizon
Real weakness — Internet Participation strong · 100

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

  • Ratio -4.2% over 21d
  • Quality score 69/100 (numerator-driven)
  • Single-horizon
Real weakness — AI Participation elevated · 67

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

  • Ratio -1.3% over 21d
  • Quality score 57/100 (numerator-driven)
  • Single-horizon

Every ratio — decomposed (21-day)

RatioStateQualityDriverNumDenRatioTF
Credit Breadth HYG/LQD Numerator lag
13
denominator +0.1% +0.9% -0.8% aligned
Nasdaq Ex-Top-30 Breadth QNXT/QTOP Absolute leadership
22
denominator +1.6% -4.8% +6.7% mixed
Nasdaq-100 Equal-Weight Breadth QQQE/QQQ Absolute leadership
26
denominator +1.3% -3% +4.5% mixed
S&P 500 Equal-Weight Breadth RSP/SPY Absolute leadership
33
denominator +1.8% -2.6% +4.5% mixed
High-Beta Breadth SPHB/SPLV Flat
43
denominator +3% +3.2% -0.2% mixed
Ex-Mag-7 Breadth XMAG/SPY Absolute leadership
54
numerator +3.2% -2.6% +5.9% aligned
Small-Cap Breadth IWM/SPY Absolute leadership
57
numerator +3.5% -2.6% +6.3% aligned
Nasdaq Ex-Tech Breadth QQXT/QQQ Denominator collapse
13
denominator -0.5% -3% +2.6% mixed
Ex-Tech S&P Breadth SPXT/SPY Denominator collapse
21
denominator -0.8% -2.6% +1.9% mixed
Mid-Cap Breadth MDY/SPY Absolute leadership
50
numerator +2.7% -2.6% +5.5% aligned
Cyclical Breadth XLI/XLU Strong leadership
51
numerator +4.2% +3% +1.2% mixed
Semiconductor Leadership SMH/XLK Absolute leadership
54
numerator +2.7% -1.7% +4.5% mixed
Consumer Risk Breadth XLY/XLP Absolute weakness
72
numerator -5.7% +0.9% -6.5% mixed
Micro-Cap Breadth IWC/IWM Lagging in rally
27
denominator +1.8% +3.5% -1.6% mixed
Small Growth Breadth IWO/IWN Lagging in rally
36
denominator +2.3% +3.4% -1.1% mixed
Extended-Market Breadth VXF/SPY Absolute leadership
57
numerator +3.6% -2.6% +6.3% aligned
AI Participation AIQ/XLK Strong deterioration
57
numerator -3% -1.7% -1.3% mixed
Large Growth vs Value IWF/IWD Absolute weakness
62
numerator -5.2% +2.4% -7.4% mixed
Financial Risk Breadth KBE/XLU Strong leadership
64
numerator +8.2% +3% +5% mixed
Software Participation IGV/XLK Strong deterioration
67
numerator -5.2% -1.7% -3.6% mixed
Nasdaq Tech vs Ex-Tech QTEC/QQXT Absolute leadership
72
numerator +2.5% -0.5% +3.1% mixed
Internet Participation FDN/XLK Strong deterioration
69
numerator -5.8% -1.7% -4.2% 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.