What a P-Value Actually Means (and Why 0.05 Isn't 5%)
Kohavi corrects the most common p-value error: people read 1 minus the p-value as the probability the treatment beats control, which is wrong. The p-value assumes the null hypothesis is true; getting the number you actually want requires Bayes' rule and a prior. Given Airbnb search's 8% success rate, a result at p < 0.05 carries a 26% chance of being a false positive — not 5% — which is why he pushed teams to p < 0.01 plus replication.
- People wrongly read 1 minus p-value as the probability treatment beats control
- A p-value assumes the null hypothesis is true; it's a conditional probability
- Recovering the desired probability needs Bayes' rule plus a prior success rate
- At Airbnb search's 8% success rate, a p < 0.05 result is 26% likely to be a false positive
- Fix: require p < 0.01 and replicate, combining experiments via Fisher's/Stouffer's method
“many people assign one minus p-value as the probability that your treatment is better than control”
“if you get a statistically significant result with the p-value less than 0.05 there's a 26 percent chance that this is a false positive result…”