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1986issue C021-2

Skill score versus a coin-flip forecast baseline

Outcomes that look successful can still arise from chance. Log each forecast beside a contemporaneous coin-flip call, score both under one correctness rule, and compute a skill score only after a large set of paired decisions.

  • A run of correct calls does not identify skill, because successful-looking outcomes can still arise from chance-dominated processes.
  • Log each forecast beside a contemporaneous coin-flip no-skill call and mark both under one prechosen correctness rule.
  • A skill score subtracts correct no-skill calls from both the forecast hit count and the total decision count, then takes the ratio of those two differences.
  • Compute the score only after 50 to 100 paired decisions. Zero or below means no skill beyond luck; a positive score is only a crude measure of how much skill was present.
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A run of correct calls is not skill

Outcomes that look successful can still arise from chance-dominated processes. A run of correct calls does not by itself identify skill.

Keep a paired decision log

A no-skill comparison call can be generated by flipping a coin and assigning one face to sell and the other to buy. That coin-flip no-skill baseline is a same-period random buy-or-sell call, scored with the same correctness rule as the forecast.

Each forecast should be logged beside a contemporaneous no-skill call and later marked correct or incorrect under one prechosen scoring rule applied to both. The paired decision log stores each forecast, its contemporaneous coin-flip call, and the later correctness outcome of both.

The correctness rule is a predeclared test of whether a buy or sell call was right. Apply that same rule to the forecast and to the baseline.

How the skill score is formed

A skill score subtracts the count of correct no-skill calls from both the count of correct forecast calls and the total number of forecast calls, then takes the ratio of those two differences.

A skill score of zero or below indicates that the forecasts added no skill beyond luck. A positive skill score indicates that some skill was present, while the size of the score is only a crude measure of how much.

Editorial reading

Editorial reading: treat every forecast log as an evaluation problem. Pair each call with a same-period coin-flip baseline and compute a skill score before a hit rate is mistaken for skill. This is a TradersWeek interpretation of the archive workflow, not a claim made by the archive.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
1 of 6 in the Coin-flip no-skill baseline track
19911-8 pp.Next on Coin-flip no-skill baselineEvaluating a trailing stop against a coin-flip entryA trailing-close-stop on a coin-flip-entry schedule scores stop distance without using a price forecast to choose the entry date.
All readings on this track · 6 readings
  1. 1986Skill score versus a coin-flip forecast baseline
  2. 1991Evaluating a trailing stop against a coin-flip entry
  3. 2004Evaluating trend rules against no-skill baselines
  4. 2005Evaluating systems with walk-forward analysis, robustness testing, and coin-flip baselines
  5. 2015Trade-tape entropy versus a coin-flip no-skill baseline
  6. 2017A coin-flip timed exit as the skill floor for trend and mean-reversion
All 6 readings tagged Coin-flip no-skill baseline
Also on Coin-flip no-skill baseline5 readings