Statistical theory
The theory of statistics includes a number of topics:Statistical models of the sources of data and typical problem formulation:
- Sampling from a finite population
- Measuring observational error and refining procedures
- Studying statistical relations
- Design of experiments to determine treatment effects
- Survey sampling to describe natural populations
- Choosing summary statistics to describe a sample
- Fitting probability distributions to sample data
- Common assumptions that we make
- Likelihood principle
- Estimating parameters
- Testing statistical hypotheses
- Revising opinions in statistics
