Standard syllabus
Statistical inference · Undergraduate · Statistics
Topics
Estimation
- Point estimators: method of moments and maximum likelihood (intro)
- Properties of estimators: bias, variance, and MSE
- Confidence intervals: pivot methods
- Large-sample confidence intervals
- Bootstrap confidence intervals (introduction)
Hypothesis testing
- Null and alternative hypotheses; test statistics
- P-values and significance levels
- Tests for means, proportions, and variances
- Likelihood ratio tests (introduction)
- Multiple testing overview: family-wise error
- Power and sample size (introduction)
Advanced inference topics
- Sufficient statistics and the factorization theorem (statement)
- Rao–Blackwell and Cramér–Rao lower bound (statement)
- Bayesian credible intervals (preview)
- Nonparametric tests preview: sign and Wilcoxon
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