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Statistics and Probability

Probability starts with a model and reasons about possible observations. Statistics starts with observations and reasons back toward a process, parameter, or decision.

Durable Sequence​

  1. events, counting, conditional probability, and independence;
  2. random variables, distributions, expectation, variance, and covariance;
  3. laws of large numbers and the central limit theorem;
  4. sampling, estimators, uncertainty, and confidence intervals;
  5. hypothesis tests, effect sizes, and decision errors;
  6. experiment design and sample-size planning.

This branch is still developing. Harvard Statistics 110 is the primary probability course; statistical inference notes should be added only when they answer a distinct reusable question.