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

1. ALLYOU NEEDTO KNOW
ABOUT STATISTICS
In 15 minutes
Roberto A.Vitillo

3. 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.

4. 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

5. It’s easy to derive a confidence interval once we know how the
theoretical sampling distribution looks like.

6. ~95% confidence interval

7. But I don’t care about means…

8. 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

9. not only compilers can be bootstrapped…
n bootstrap samples, each of size k, are generated by sampling with
replacement from the original sample A

10. A X X X1 2 3
* * *

12. 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.

15. ~95% confidence interval

16. • Resampling methods are powerful tools
• A similar procedure can be applied for A/B tests
• Checkout montecarlino