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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 2026-07-17

Avg quality 43/100 how meaningful, mean
Numerator-driven 54.5% of ratios
Misleading up 3 rising on low quality
Real weakness 3 numerator-driven down

Alerts — misleading strength & real weakness

Misleading strength — Internet Participation strong · 100

Internet Participation rising mainly because XLK fell sharply — a mechanically misleading improvement.

  • Ratio +5.7% over 21d
  • Quality score 4/100 (Denominator collapse)
  • Denominator-driven (95% of the move)
Misleading strength — Credit Breadth strong · 100

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

  • Ratio +1.1% over 21d
  • Quality score 1/100 (Denominator collapse)
  • Denominator-driven (99% 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 -4.2% over 21d
  • Quality score 56/100 (numerator-driven)
  • Single-horizon
Real weakness — AI Participation strong · 100

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

  • Ratio -3.7% over 21d
  • Quality score 55/100 (numerator-driven)
  • Single-horizon
Misleading strength — Extended-Market Breadth elevated · 69

Extended-Market Breadth rising mainly because SPY fell sharply — a mechanically misleading improvement.

  • Ratio +0.5% over 21d
  • Quality score 19/100 (Denominator collapse)
  • Denominator-driven (81% of the move)
Real weakness — Nasdaq Ex-Top-30 Breadth elevated · 50

Nasdaq Ex-Top-30 Breadth falling on QNXT weakness — QNXT dropping faster than QTOP, a high-quality warning.

  • Ratio -0.4% over 21d
  • Quality score 43/100 (numerator-driven)
  • Single-horizon

Every ratio — decomposed (21-day)

RatioStateQualityDriverNumDenRatioTF
Credit Breadth HYG/LQD Denominator collapse
1
denominator 0% -1.1% +1.1% mixed
Nasdaq-100 Equal-Weight Breadth QQQE/QQQ Defensive improvement
39
denominator -3% -4.6% +1.8% aligned
Nasdaq Ex-Top-30 Breadth QNXT/QTOP Strong deterioration
43
numerator -4.6% -4.3% -0.4% mixed
Ex-Mag-7 Breadth XMAG/SPY Flat
44
numerator -0.9% -0.7% -0.3% mixed
Small-Cap Breadth IWM/SPY Absolute leadership
49
denominator +0.7% -0.7% +1.4% aligned
S&P 500 Equal-Weight Breadth RSP/SPY Absolute leadership
58
numerator +1% -0.7% +1.7% aligned
High-Beta Breadth SPHB/SPLV Absolute weakness
63
numerator -7.1% +3% -9.8% mixed
Cyclical Breadth XLI/XLU Numerator lag
0
denominator 0% +0.9% -0.9% mixed
Nasdaq Ex-Tech Breadth QQXT/QQQ Absolute leadership
8
denominator +0.5% -4.6% +5.3% mixed
Mid-Cap Breadth MDY/SPY Flat
40
denominator -0.6% -0.7% +0.1% mixed
Ex-Tech S&P Breadth SPXT/SPY Absolute leadership
45
numerator +0.8% -0.7% +1.5% mixed
Semiconductor Leadership SMH/XLK Strong deterioration
56
numerator -9.7% -5.7% -4.2% mixed
Consumer Risk Breadth XLY/XLP Absolute weakness
91
numerator -2.4% +0.2% -2.6% aligned
Software Participation IGV/XLK Absolute leadership
18
denominator +1.6% -5.7% +7.7% mixed
Extended-Market Breadth VXF/SPY Denominator collapse
19
denominator -0.2% -0.7% +0.5% aligned
Small Growth Breadth IWO/IWN Absolute weakness
27
denominator -1.2% +2.8% -4% mixed
AI Participation AIQ/XLK Strong deterioration
55
numerator -9.2% -5.7% -3.7% mixed
Large Growth vs Value IWF/IWD Absolute weakness
61
numerator -3.2% +2.1% -5.2% aligned
Micro-Cap Breadth IWC/IWM Strong leadership
65
numerator +1.9% +0.7% +1.2% mixed
Nasdaq Tech vs Ex-Tech QTEC/QQXT Absolute weakness
72
numerator -7.4% +0.5% -7.8% mixed
Financial Risk Breadth KBE/XLU Strong leadership
77
numerator +6.2% +0.9% +5.3% mixed
Internet Participation FDN/XLK Denominator collapse
4
denominator -0.3% -5.7% +5.7% 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.