Designing the experiment

• hypothesis testing, different forms of a hypothesis

• experimental vs observational statistics

• the initial choice of quantization levels

• the A/B testing method

• repeatable experiments

• reproducible experiments

Implementing the experiment

Applying statistical methods

• orthodox statistics vs Bayesian statistics

• primitive events, definition of probability

• counting principles, properties of probability

• random variables, sequences, probability mass functions

• frequencies, Shannon's entropy, KL-divergence

• likelihood, prior & posterior probability, Bayes's rule