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 2026-08-06

Avg quality 40/100 how meaningful, mean
Numerator-driven 31.8% of ratios
Misleading up 1 rising on low quality
Real weakness 0 numerator-driven down

Alerts — misleading strength & real weakness

Misleading strength — Credit Breadth strong · 100

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

  • Ratio +1% over 21d
  • Quality score 23/100 (Denominator collapse)
  • Denominator-driven (77% of the move)

Every ratio — decomposed (21-day)

RatioStateQualityDriverNumDenRatioTF
High-Beta Breadth SPHB/SPLV Numerator lag
5
denominator 0% +0.7% -0.7% aligned
Credit Breadth HYG/LQD Denominator collapse
23
denominator +0.2% -0.8% +1% aligned
Ex-Mag-7 Breadth XMAG/SPY Lagging in rally
33
denominator +1.8% +3.1% -1.3% mixed
Small-Cap Breadth IWM/SPY Lagging in rally
35
denominator +1.6% +3.1% -1.4% aligned
S&P 500 Equal-Weight Breadth RSP/SPY Flat
43
denominator +3% +3.1% -0.1% mixed
Nasdaq-100 Equal-Weight Breadth QQQE/QQQ Strong leadership
57
numerator +0.8% +0.5% +0.4% mixed
Nasdaq Ex-Top-30 Breadth QNXT/QTOP Strong leadership
68
numerator +1.5% +0.5% +1% mixed
Cyclical Breadth XLI/XLU Absolute leadership
31
denominator +2.4% -4.4% +7.1% mixed
Ex-Tech S&P Breadth SPXT/SPY Lagging in rally
43
denominator +2.3% +3.1% -0.8% aligned
Mid-Cap Breadth MDY/SPY Lagging in rally
46
denominator +2.7% +3.1% -0.4% aligned
Semiconductor Leadership SMH/XLK Absolute weakness
56
numerator -3.6% +2.2% -5.7% mixed
Consumer Risk Breadth XLY/XLP Strong leadership
57
numerator +2.4% +0.9% +1.6% mixed
Nasdaq Ex-Tech Breadth QQXT/QQQ Strong leadership
64
numerator +2.3% +0.5% +1.8% mixed
Small Growth Breadth IWO/IWN Numerator lag
13
denominator +0.4% +2.8% -2.3% aligned
Nasdaq Tech vs Ex-Tech QTEC/QQXT Absolute weakness
16
denominator -0.5% +2.3% -2.7% mixed
Large Growth vs Value IWF/IWD Numerator lag
24
denominator +1.4% +4.5% -2.9% aligned
Micro-Cap Breadth IWC/IWM Lagging in rally
28
denominator +1% +1.6% -0.7% mixed
AI Participation AIQ/XLK Absolute weakness
32
denominator -1% +2.2% -3.1% aligned
Extended-Market Breadth VXF/SPY Lagging in rally
33
denominator +1.6% +3.1% -1.5% aligned
Financial Risk Breadth KBE/XLU Absolute leadership
43
denominator +4.4% -4.4% +9.2% mixed
Software Participation IGV/XLK Strong leadership
68
numerator +7.5% +2.2% +5.2% mixed
Internet Participation FDN/XLK Strong leadership
52
numerator +4.6% +2.2% +2.4% 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.