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AI answer sample size calculator
AI answers are non-deterministic, so citation share is a proportion estimated from n samples. To detect a 10-point change at 95% confidence around a 30% share you need roughly 81 samples per prompt; at n=10 your interval is about ±25 points, which is wide enough that most reported movements are noise.
Samples required per prompt
81
At 95% confidence, to resolve a 10-point change around a 30% share.
Interval at common sample sizes
| Samples | 95% interval |
|---|---|
| n=10 | ±2.8 points |
| n=25 | ±1.8 points |
| n=50 | ±1.3 points |
| n=100 | ±0.9 points |
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- Why is n=1 not enough?
- At one sample you have no interval at all. Repeating the same prompt commonly returns a different citation set, so a single reading tells you what happened once, not what happens typically.
- What sample size do you default to?
- Ten per prompt per engine, which is a deliberate cost compromise. For change detection on important head terms, twenty-five is a better default.