Skip to main content
Track Chi-square test
9 / 17
Library

1990issue C071-3

Evaluating member versus odd-lot breadth

A member-odd-lot index contrasts exchange-member purchases and sales with odd-lot trading. After a 33 percent exponential average and fixed deviation bands, crossings were scored at three horizons and checked with a chi-square test.

  • Market breadth is defined here as a two-cohort participation contrast between exchange members and odd-lot trading, not as an advance-decline count.
  • Member sales enter the member-odd-lot index only after an adjustment for odd-lot transactions, and the readable series is a 33 percent exponential average of that raw index.
  • Deviation bands sit two-thirds of a standard deviation above and below the mean of the smoothed index, and crossings were scored at three-month, six-month, and one-year horizons.
  • A chi-square test checked those directional scores against chance, while the smoothed series was also plotted against a major industrial-average price chart.
Entries in this reading3 entries

What the index compares

A comparative participation index is built from exchange-member purchases and sales together with odd-lot purchases and sales. In this workflow, market breadth is that two-cohort participation contrast, used as a directional market condition rather than an advance-decline count.

Exchange members are the more-informed cohort. Odd-lot trading is the less-informed cohort. Member sales enter the construction only after an adjustment for odd-lot transactions. The member-odd-lot index is the scaled participation ratio that results.

How the series is read

The series presented for reading is a 33 percent exponential average of the raw member-odd-lot index. Exponential smoothing is applied before any band is read. Deviation bands are drawn two-thirds of a standard deviation above and below the mean of the smoothed index.

How crossings are tested

Band crossings were scored against subsequent market direction at three-month, six-month, and one-year horizons over a ten-year sample. A chi-square test was applied to those directional scores as a check against chance. The test is a formal check on whether directional scores at those fixed horizons differ from an independence baseline.

What was shown with price

The smoothed participation series was plotted for visual comparison with a major industrial-average price chart. Illustrative episodes cited for the smoothed series include bullish readings in 1985, a bearish turn months before October 1987, and bullish readings late in 1988.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
9 of 17 in the Chi-square test track
19901-1 pp.Next on Chi-square testA chi-square test of split frequency histograms across price aggregationsConsecutive observations of an ordered price series can be assigned to opposite frequency histograms, with each cell count converted to a relative frequency.
All readings on this track · 17 readings
  1. 1987Testing price-volume agreement after percent reversal filters
  2. 1988Constructing chi-square tests for two-way price counts
  3. 1988Building consensus indicators with correlation and the chi-square test
  4. 1988Test edges against chance, not story
  5. 1988Constructing an advance-decline divergence oscillator
  6. 1989Evaluate a contrary put-call premium ratio at a stated horizon
  7. 1990A weekly resistance-index from hourly volume-per-point
  8. 1990Testing breadth above moving averages by horizon
  9. 1990Evaluating member versus odd-lot breadth
  10. 1990A chi-square test of split frequency histograms across price aggregations
  11. 1990Evaluating smoothed secondary counts with a chi-square test
  12. 1991Treat session high and low times as codes, then require a chi-square check
  13. 1991A signed hourly swing catalog as a next-session chi-square check
  14. 1992Constructing a chi-square test as a gate for two-way market records
  15. 1992Percent filters, log point-and-figure, and breadth residuals
  16. 1997Build a chi-square stationarity screen before you forecast
  17. 1998Timed breakout rules after a nested-bar contraction
All 32 readings tagged Chi-square test
Also on Chi-square test5 readings