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# All you need to know about Statistics

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All you need to know about Statistics (if you can't spend more than 15 minutes).

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### All you need to know about Statistics

1. 1. ALLYOU NEEDTO KNOW ABOUT STATISTICS In 15 minutes Roberto A.Vitillo
2. 2. Setting a 95% conﬁdence interval means that if you took repeated random samples from a population and calculated the statistics and CI for each sample, then the CIs for 95% of your samples would include the true value of the statistics.
3. 3. Central LimitTheorem For means it’s easy: the histogram of averages tends to look normal even when the histogram of the individuals doesn’t! aka sampling distribution of the mean
4. 4. It’s easy to derive a conﬁdence interval once we know how the theoretical sampling distribution looks like.
5. 5. ~95% conﬁdence interval
6. 6. But I don’t care about means…
7. 7. What now? call this guy if you live in the early 20th century Henry Berthold Mann known for the Mann-Whitney nonparametric test throw some (virtual) dice on your laptop
8. 8. not only compilers can be bootstrapped… n bootstrap samples, each of size k, are generated by sampling with replacement from the original sample A
9. 9. A X X X1 2 3 * * *
10. 10. In the next phase, a bootstrap statistic is calculated for all the bootstrap samples bootstrap distribution The bootstrap distribution is an approximation of the sampling distribution.
11. 11. ~95% conﬁdence interval
12. 12. • Resampling methods are powerful tools • A similar procedure can be applied for A/B tests • Checkout montecarlino