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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 2026-11-10

Avg quality 38/100 how meaningful, mean
Numerator-driven 27.3% of ratios
Misleading up 3 rising on low quality
Real weakness 1 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 +10.8% over 21d
  • Quality score 16/100 (Denominator collapse)
  • Denominator-driven (84% of the move)
Misleading strength — Ex-Mag-7 Breadth strong · 100

Ex-Mag-7 Breadth rising mainly because SPY fell sharply — a mechanically misleading improvement.

  • Ratio +2.6% over 21d
  • Quality score 21/100 (Denominator collapse)
  • Denominator-driven (77% of the move)
Misleading strength — Extended-Market Breadth strong · 100

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

  • Ratio +3% over 21d
  • Quality score 13/100 (Denominator collapse)
  • Denominator-driven (83% 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 -4.9% over 21d
  • Quality score 50/100 (numerator-driven)
  • Single-horizon

Every ratio — decomposed (21-day)

RatioStateQualityDriverNumDenRatioTF
Nasdaq Ex-Top-30 Breadth QNXT/QTOP ▲ Denominator collapse
16
denominator -2.3% -11.8% +10.8% aligned
Small-Cap Breadth IWM/SPY ▲ Absolute leadership
16
denominator +1% -3.6% +4.8% mixed
Credit Breadth HYG/LQD ▼ Numerator lag
16
denominator +0.4% +1.7% -1.3% mixed
Ex-Mag-7 Breadth XMAG/SPY ▲ Denominator collapse
21
denominator -1.1% -3.6% +2.6% mixed
Nasdaq-100 Equal-Weight Breadth QQQE/QQQ ▲ Defensive improvement
33
denominator -4.8% -9.6% +5.3% aligned
S&P 500 Equal-Weight Breadth RSP/SPY ▲ Absolute leadership
49
denominator +3.6% -3.6% +7.5% aligned
High-Beta Breadth SPHB/SPLV ▼ Absolute weakness
62
numerator -11.2% +7.5% -17.4% aligned
Cyclical Breadth XLI/XLU ▼ Numerator lag
5
denominator -0.2% +5% -5% aligned
Mid-Cap Breadth MDY/SPY ▲ Absolute leadership
22
denominator +1.3% -3.6% +5.2% mixed
Nasdaq Ex-Tech Breadth QQXT/QQQ ▲ Absolute leadership
29
denominator +4.2% -9.6% +15.2% aligned
Ex-Tech S&P Breadth SPXT/SPY ▲ Absolute leadership
39
denominator +2.4% -3.6% +6.2% aligned
Consumer Risk Breadth XLY/XLP · Flat
50
denominator +7.8% +7.8% 0% aligned
Semiconductor Leadership SMH/XLK ▼ Strong deterioration
50
numerator -18.2% -14% -4.9% mixed
Small Growth Breadth IWO/IWN ▼ Numerator lag
7
denominator +0.1% +1.8% -1.7% aligned
Extended-Market Breadth VXF/SPY ▲ Denominator collapse
13
denominator -0.8% -3.6% +3% mixed
Financial Risk Breadth KBE/XLU ▲ Strong leadership
39
numerator +5.4% +5% +0.3% mixed
Software Participation IGV/XLK ▲ Defensive improvement
41
denominator -9.8% -14% +4.8% aligned
AI Participation AIQ/XLK ▲ Defensive improvement
45
denominator -11.4% -14% +3% aligned
Micro-Cap Breadth IWC/IWM ▼ Absolute weakness
74
numerator -2.7% +1% -3.7% aligned
Large Growth vs Value IWF/IWD ▼ Absolute weakness
78
numerator -10.3% +3.1% -13% aligned
Nasdaq Tech vs Ex-Tech QTEC/QQXT ▼ Absolute weakness
79
numerator -14.7% +4.2% -18.1% aligned
Internet Participation FDN/XLK ▲ Defensive improvement
42
denominator -10.4% -14% +4.2% aligned

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.

FAQ · from the current data · as of 2026-11-10

Quick answers

What does Ratio-Quality Decomposition measure?

A rising ratio is ambiguous — it can mean the numerator led (real) or the denominator collapsed (misleading). 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 scores high; denominator-driven or single-horizon scores low.

What is the average ratio quality right now?

As of 2026-11-10, the average quality score across tracked ratios is 38 out of 100, with 27.3% of ratios numerator-driven.

How many ratios are showing misleading strength or real weakness?

As of 2026-11-10, 3 ratios are rising on low quality (misleading strength) and 1 are falling on genuine numerator weakness (real weakness).

How is the quality score calculated?

Using log returns, ratio return equals numerator return minus 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 tracked asset is genuinely the story, low when the move is a denominator artifact.