Advanced Statistics

Digging Deeper into Uncertainty

This section goes beyond the basics into the deeper reasoning behind statistical inference. Topics include Bayesian thinking, experimental design, statistical power, and the assumptions underlying the tests most people use without questioning. For when you need to not just use statistics, but understand what they're actually saying.

A/B Testing

intermediate

The structured way companies test whether a change actually works — or just feels like it does.

ANOVA

intermediate

Like a t-test, but for when you have more than two groups to compare.

Assumptions of Statistical Tests

intermediate

Every statistical test has a list of things it assumes are true about your data — and most people never check them.

Bayesian Thinking

intermediate

A completely different way of thinking about probability — not as frequencies, but as beliefs that update.

Effect Size

beginner

Statistical significance tells you something is real. Effect size tells you if it actually matters.

The Multiple Testing Problem

intermediate

Run enough tests and something will look significant. That's a bug, not a discovery.

Statistical Power

intermediate

How good is your test at actually catching something real when it's there?

Type I & Type II Errors

beginner

The two ways a hypothesis test can lie to you — and why fixing one makes the other worse.

Chirp at me!