FX
CURIO
Intermediate7 min read

Sample Size and Statistical Significance

20 trades tell you almost nothing. Here's how many you actually need before trusting a backtest's numbers.

One of the most common backtesting mistakes is drawing conclusions from far too few trades. A 70% win rate over 10 trades and a 70% win rate over 500 trades are not the same claim — the first could easily be noise, the second is meaningful evidence.

Why Small Samples Lie

Random variation dominates small samples. Flip a fair coin 10 times and getting 7 heads is unremarkable — that's within normal statistical noise. Flip it 500 times and get 350 heads (70%), and something is clearly off with the coin. Trading results behave the same way.

Standard Error of Win Rate

SE = √( p × (1 − p) / n )

Where p is the observed win rate and n is the number of trades. This formula tells you how much your observed win rate could realistically swing due to chance alone.

Trades (n)Observed win rateApprox. standard error95% range of true rate
2050%±11%28% – 72%
10050%±5%40% – 60%
50050%±2.2%45.6% – 54.4%
20 trades is a coin flip's worth of evidence

With only 20 trades, a strategy's true win rate could realistically be anywhere from 28% to 72% even if the observed rate is 50%. Never size real capital based on a sample this small.

How Many Trades Do You Actually Need?

  • ▸Minimum credible sample: 100 trades to see a rough shape of the edge.
  • ▸Reasonably confident: 200-300 trades across varied market conditions.
  • ▸High confidence for position sizing decisions: 500+ trades.
  • ▸More trades matter more than more indicators — sample size beats sophistication.

Sample Size Also Applies to Time Periods

Even 500 trades taken entirely from a single strong uptrend in 2021 don't tell you how the strategy performs in a range-bound or high-volatility market. Diversify your sample across bull, bear, and sideways regimes, and across different years, not just trade count.

Practical Rule of Thumb

Treat any backtest under 100 trades as a pilot study, not a verdict. Treat 100-300 trades as a working hypothesis to forward test. Only treat 300+ trades across multiple regimes as strong enough evidence to size up meaningfully.

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