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Quantitative Research, Data and Backtesting / Labels and Validation Design

Multiple Testing and Researcher Degrees of Freedom

The best of a hundred unprofitable strategies can have an attractive historical Sharpe ratio. Correct accounting and purged validation do not remove that selection effect. This lesson treats the research search itself as evidence: what was tried, how the winner was selected and which observations remain available for confirmation.
Learning objectives. By the end of this note you should be able to:
  • calculate a simple familywise false-positive probability;
  • identify hidden trials beyond model hyperparameters;
  • specify a reproducible trial register and selection rule;
  • distinguish multiplicity adjustments from a guarantee of economic validity;
  • design a final assessment that preserves the meaning of the held-out result.

In this lesson

  1. Why the winner looks better than the population
  2. The search is wider than the model
  3. A trial register that another researcher can read
  4. Confirmation is an operational boundary
  5. Deflated Sharpe and overfitting diagnostics
  6. Topic assessment: design before results

Before you start

The full lesson, with worked examples and exercise solutions, is for members.

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