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 2026-09-14

Avg quality 53/100 how meaningful, mean
Numerator-driven 68.2% of ratios
Misleading up 1 rising on low quality
Real weakness 15 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 +2.6% over 21d
  • Quality score 20/100 (Denominator collapse)
  • Denominator-driven (80% of the move)
Real weakness — Nasdaq Ex-Top-30 Breadth strong · 100

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

  • Ratio -4.4% over 21d
  • Quality score 67/100 (numerator-driven)
  • Single-horizon
Real weakness — Semiconductor Leadership strong · 100

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

  • Ratio -4.8% over 21d
  • Quality score 71/100 (numerator-driven)
  • Confirmed across 1d/21d/63d
Real weakness — Mid-Cap Breadth strong · 100

Mid-Cap Breadth falling on MDY weakness — MDY dropping faster than SPY, a high-quality warning.

  • Ratio -3.8% over 21d
  • Quality score 73/100 (numerator-driven)
  • Confirmed across 1d/21d/63d
Real weakness — Small-Cap Breadth strong · 100

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

  • Ratio -3% over 21d
  • Quality score 62/100 (numerator-driven)
  • Single-horizon

Every ratio — decomposed (21-day)

RatioStateQualityDriverNumDenRatioTF
Credit Breadth HYG/LQD Defensive improvement
33
denominator -1% -1.7% +0.7% mixed
Nasdaq-100 Equal-Weight Breadth QQQE/QQQ Strong deterioration
49
numerator -5.4% -3.1% -2.3% mixed
S&P 500 Equal-Weight Breadth RSP/SPY Strong deterioration
54
numerator -3.5% -2.2% -1.3% mixed
Small-Cap Breadth IWM/SPY Strong deterioration
62
numerator -5.1% -2.2% -3% mixed
Ex-Mag-7 Breadth XMAG/SPY Strong deterioration
63
numerator -3.7% -2.2% -1.5% aligned
High-Beta Breadth SPHB/SPLV Strong deterioration
66
numerator -5.6% -3% -2.7% aligned
Nasdaq Ex-Top-30 Breadth QNXT/QTOP Strong deterioration
67
numerator -6.5% -2.1% -4.4% mixed
Ex-Tech S&P Breadth SPXT/SPY Flat
42
denominator -2% -2.2% +0.2% mixed
Nasdaq Ex-Tech Breadth QQXT/QQQ Strong deterioration
46
numerator -4.7% -3.1% -1.7% mixed
Cyclical Breadth XLI/XLU Strong deterioration
56
numerator -8.5% -5% -3.7% mixed
Semiconductor Leadership SMH/XLK Strong deterioration
71
numerator -8.1% -3.4% -4.8% aligned
Consumer Risk Breadth XLY/XLP Strong deterioration
72
numerator -4.7% -1.8% -2.9% aligned
Mid-Cap Breadth MDY/SPY Strong deterioration
73
numerator -5.9% -2.2% -3.8% aligned
Software Participation IGV/XLK Absolute leadership
9
denominator +0.3% -3.4% +3.9% aligned
AI Participation AIQ/XLK Defensive improvement
30
denominator -1.8% -3.4% +1.7% mixed
Micro-Cap Breadth IWC/IWM Defensive improvement
46
denominator -4.4% -5.1% +0.8% aligned
Financial Risk Breadth KBE/XLU Defensive improvement
48
denominator -4.6% -5% +0.5% aligned
Nasdaq Tech vs Ex-Tech QTEC/QQXT Strong deterioration
57
numerator -6.3% -4.7% -1.7% aligned
Extended-Market Breadth VXF/SPY Strong deterioration
63
numerator -5.2% -2.2% -3.1% mixed
Small Growth Breadth IWO/IWN Strong deterioration
69
numerator -6.9% -3.2% -3.8% aligned
Large Growth vs Value IWF/IWD Strong deterioration
73
numerator -3.5% -1.3% -2.2% aligned
Internet Participation FDN/XLK Denominator collapse
20
denominator -0.9% -3.4% +2.6% 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 2026-09-14

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 2026-09-14, the average quality score across tracked ratios is 53 out of 100, with 68.2% of ratios numerator-driven.

How many ratios are showing misleading strength or real weakness?

As of 2026-09-14, 1 ratios are rising on low quality (misleading strength) and 15 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.