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 2026-09-16

Avg quality 54/100 how meaningful, mean
Numerator-driven 72.7% of ratios
Misleading up 0 rising on low quality
Real weakness 15 numerator-driven down

Alerts — misleading strength & real weakness

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 -4.5% over 21d
  • Quality score 65/100 (numerator-driven)
  • Single-horizon
Real weakness — Small-Cap Breadth strong · 100

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

  • Ratio -4.1% over 21d
  • Quality score 73/100 (numerator-driven)
  • Confirmed across 1d/21d/63d
Real weakness — Semiconductor Leadership strong · 100

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

  • Ratio -5% over 21d
  • Quality score 63/100 (numerator-driven)
  • Single-horizon
Real weakness — Mid-Cap Breadth strong · 100

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

  • Ratio -4.6% over 21d
  • Quality score 75/100 (numerator-driven)
  • Confirmed across 1d/21d/63d

Every ratio — decomposed (21-day)

RatioStateQualityDriverNumDenRatioTF
Credit Breadth HYG/LQD Flat
49
numerator -1% -0.8% -0.2% mixed
Nasdaq-100 Equal-Weight Breadth QQQE/QQQ Strong deterioration
56
numerator -5.9% -3.4% -2.6% mixed
High-Beta Breadth SPHB/SPLV Strong deterioration
56
numerator -6.2% -3.5% -2.7% mixed
S&P 500 Equal-Weight Breadth RSP/SPY Strong deterioration
62
numerator -3.9% -2.4% -1.5% aligned
Nasdaq Ex-Top-30 Breadth QNXT/QTOP Strong deterioration
65
numerator -6.9% -2.6% -4.5% mixed
Ex-Mag-7 Breadth XMAG/SPY Strong deterioration
65
numerator -4.4% -2.4% -2% aligned
Small-Cap Breadth IWM/SPY Strong deterioration
73
numerator -6.4% -2.4% -4.1% aligned
Ex-Tech S&P Breadth SPXT/SPY Flat
38
denominator -2.3% -2.4% +0.1% mixed
Cyclical Breadth XLI/XLU Strong deterioration
53
numerator -9.5% -6.5% -3.2% mixed
Nasdaq Ex-Tech Breadth QQXT/QQQ Strong deterioration
54
numerator -5.3% -3.4% -1.9% mixed
Semiconductor Leadership SMH/XLK Strong deterioration
63
numerator -8.2% -3.4% -5% mixed
Mid-Cap Breadth MDY/SPY Strong deterioration
75
numerator -6.9% -2.4% -4.6% aligned
Consumer Risk Breadth XLY/XLP Strong deterioration
78
numerator -5.6% -1.6% -4.1% aligned
AI Participation AIQ/XLK Defensive improvement
26
denominator -1.5% -3.4% +1.9% mixed
Software Participation IGV/XLK Absolute leadership
40
denominator +2.9% -3.4% +6.5% mixed
Financial Risk Breadth KBE/XLU Defensive improvement
43
denominator -6% -6.5% +0.5% mixed
Micro-Cap Breadth IWC/IWM Defensive improvement
47
denominator -5.7% -6.4% +0.7% aligned
Nasdaq Tech vs Ex-Tech QTEC/QQXT Strong deterioration
50
numerator -6.8% -5.3% -1.6% mixed
Small Growth Breadth IWO/IWN Strong deterioration
59
numerator -8.4% -4.3% -4.3% mixed
Large Growth vs Value IWF/IWD Strong deterioration
59
numerator -3.5% -1.8% -1.8% mixed
Extended-Market Breadth VXF/SPY Strong deterioration
64
numerator -6.2% -2.4% -3.9% mixed
Internet Participation FDN/XLK Absolute leadership
13
denominator +0.6% -3.4% +4.1% 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.

FAQ · from the current data · as of 2026-09-16

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 2026-09-16, the average quality score across tracked ratios is 54 out of 100, with 72.7% of ratios numerator-driven.

How many ratios are showing misleading strength or real weakness?

As of 2026-09-16, 0 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.