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S02 · Statistical Inference

A free, illustrated L2 course of 10 modules in the Statistics and Data Analysis track. Modules include: Populations, samples and sampling distributions; Point estimation: bias, variance and mean squared error; Maximum likelihood.

S02 L2 · Intermediate 10 modules · about 40 lessons Planned · Ring 2

Part of the Statistics and Data Analysis track. Ships in Ring 2 (Spine) of the roadmap.

Modules

1. Populations, samples and sampling distributions
2. Point estimation: bias, variance and mean squared error
3. Maximum likelihood
4. Confidence intervals
5. Hypothesis tests and p-values
6. Power, effect size and sample size
7. Common tests: t, chi-square, ANOVA and nonparametric
8. Bootstrap and permutation methods
9. Multiple testing
10. Likelihood theory: Fisher information and asymptotics

Signature illustrations

The pictures a learner should still see in their head a year later:

Sampling-distribution simulators, the dance of confidence intervals, likelihood surfaces, overlap diagram for the two error types, bootstrap resampling animation.

Status

This course is planned, not written yet. It ships with Ring 2 (Spine).

Every lesson will follow the same twelve-part blueprint with at least three purpose-made figures. Watch the repository to hear when modules ship, or help write and review it.