Statistics › Section N · Counting, Bayesian inference, and multiple regression › Topic N.3

Bayesian estimation of a proportion

Estimating a proportion is the classic Bayesian laboratory: a family of priors called beta makes the updating arithmetic almost trivially simple - add the data's successes and failures to the prior's, and read off updated beliefs about p.

In this topic

  • The beta prior
  • Conjugate updating
  • Worked example: a website's click-through rate
  • Credible intervals
  • Predicting the next visitor
  • A/B tests, the Bayesian way
  • Worked example: shrinkage and the one-review restaurant
  • Common mistakes to avoid
  • Key takeaways

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