Distribution - Binomial

Gist

The binomial distribution is The number of times some outcome occurs out of n independent trials, each having the same probability of “success” p.

Mathematics

The variance is:

How does it relate to other distributions?

  1. You can have a normal approximation Distribution - Normal to the binomial theorem (under specific conditions) through the

Transformations

To stabilize the variance

As suggested by this blog (1)

  1. Transformation - Logit
  2. Transformation - Arcsine

Confidence interval

Interesting article about not using Wald: https://www.econometrics.blog/post/don-t-use-the-textbook-ci-for-a-proportion/

References

  1. http://stratigrafia.org/8370/rtips/proportions.html