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1989issue C011-5

Constructing a ten-input breadth diffusion score

A weekly market-breadth stance can be built as a ten-input diffusion score. Each moving-average stretch, participation rule, contrary-crowding ratio, and policy-tightness reading publishes bullish, bearish, and abstain bands before those votes are netted, so the composite can be audited and the procedure remains falsifiable.

  • A diffusion score subtracts the count of bearish component readings from the count of bullish ones and leaves neutral readings out of the arithmetic.
  • Each moving-average stretch, market-breadth rule, and contrary-crowding input must publish bullish, bearish, and abstain bands before those votes are netted.
  • The finished score is mapped onto a ladder from +5 through -5, with +1, 0, and -1 grouped as a single neutral band.
  • A weekly stance test records a bullish or bearish reading each week and later checks it against subsequent market direction over 13 weeks, 26 weeks, or one year.
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How the diffusion score is counted

A ten-component consensus reading is formed by subtracting the count of bearish technical inputs from the count of bullish inputs, so neutral readings do not change the net score.

In a worked construction example, five bullish inputs, four neutrals, and one bearish input produce a net score of 4.

The finished score is mapped onto a ladder from +5 through -5, with +1, 0, and -1 grouped as a single neutral band.

A moving-average stretch

One moving-average component compares a major industrial average with its 30-day average and treats a reading below -3 percent as bullish and a reading above +3 percent as bearish.

Market-breadth participation rules

Participation rules use 10-day averages of new highs versus new lows and a 10-day advances-minus-declines total that becomes active only after the series crosses +1000 or -1000 and then retraces 1000 points from the later extreme.

A 10-day average of advancing-share volume versus declining-share volume is scored bullish above 120 percent and bearish below 80 percent.

A separate overlay turns bullish only when fewer than 30 percent of listed stocks sit below their 10-week average and fewer than 40 percent sit below their 30-week average.

Contrary-crowding votes

Four contrary components convert option-premium imbalance, letter-writer pessimism, speculative-versus-seasoned volume, and insider sell-to-buy activity into votes. Letter-writer pessimism is counted as the bearish share plus half the correction share.

Each of those ratios casts a vote only after it leaves a published middle band.

A policy-tightness ratio

A policy-tightness component averages the funds-rate-to-discount-rate ratio on Friday, Monday, Tuesday, and Thursday, and omits Wednesday because of individual-bank distortion.

Readings below 103 percent are scored bullish. Readings above 125 percent are scored bearish.

The weekly stance test

The checking procedure asked each indicator for a weekly bullish or bearish stance and judged that stance by later market direction over 13 weeks, 26 weeks, or one year.

Ten-year batting average of the Wall Street Week index

A trader should see that the weekly Wall Street Week diffusion score, scored only as bullish or bearish each week, was right more often as the forward window lengthened: about seven calls in ten at 13 weeks and about eight in ten at one year. These three batting averages are the exact figures Merrill states in the article for the 10-year test, not readings taken off the plotted oscillator.
A trader should see that the weekly Wall Street Week diffusion score, scored only as bullish or bearish each week, was right more often as the forward window lengthened: about seven calls in ten at 13 weeks and about eight in ten at one year. These three batting averages are the exact figures Merrill states in the article for the 10-year test, not readings taken off the plotted oscillator.Wall Street Week Technical Market Indicator · Weekly · 1978-10-01T00:00:00.000Z to 1988-11-30T00:00:00.000Z

Each week the index was asked only whether it was bullish or bearish; a hit was the market’s direction over the next 13 weeks, 26 weeks, or one year. Merrill reports the 10-year record as highly significant on a chi-square test.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
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All readings on this track · 20 readings
  1. 1986A pre-trade checklist for crowded trading methods
  2. 1988Contrary decision process versus lagging bullish consensus
  3. 1988Constructing contrarian signals from polled consensus
  4. 1989Constructing a ten-input breadth diffusion score
  5. 1989Even-number first penetration as a construction problem
  6. 1991Joint strength and sentiment rules for entries and exits
  7. 1995Evaluating contrarian sentiment thresholds for bond futures
  8. 1998A weekly composite-score that classifies despair, euphoria, or neither
  9. 1998Lagged phase clocks for market cycles
  10. 2003Process rules when a correct view fails
  11. 2003Closing stops and equity-curve filters as one decision process
  12. 2003One procedure for entry, exit, and standing aside
  13. 2004Cross-index volatility gauges as a premium regime map
  14. 2005When trend rules need a losing filter
  15. 2006Evaluating sector breadth as a contrarian regime filter
  16. 2011Sideline patience versus crowd noise
  17. 2012Assembling a sentiment zone oscillator as one contrarian filter
  18. 2012Currency regime context for fading rallies
  19. 2014When late trend confirmation is a sideline signal
  20. 2017Write a daily contrarian rule from the closed-end-fund discount
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