Hypothesis Testing, Confidence Intervals and Power
The statistical decision-making toolkit - hypothesis tests, p-values, confidence intervals, power, and sample size planning.
Probability-and-Statistics
Probability Basics
The rules of uncertainty: axioms, conditional probability, independence, and Bayes’ theorem.
Probability Distributions
The shapes data takes - random variables, PMF, PDF, CDF, and the key distributions you need to know.
The Central Limit Theorem
Why the normal distribution dominates statistics - sampling distributions, the law of large numbers, and the CLT.
Population, Samples and Descriptive Statistics
The starting point for statistics: what we measure, how we summarise it, and why the sample formula divides by n-1.