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
Planning statistical research to measure and control observational error:
- Design of experiments to determine treatment effects
- Survey sampling to describe natural populations
Summarizing statistical data in conventional forms (also known as descriptive statistics)
- Choosing summary statistics to describe a sample
- Fitting probability distributions to sample data
Interpreting statistical data is the final objective of all research:
- Common assumptions that we make
- Likelihood principle
- Estimating parameters
- Testing statistical hypotheses
- Revising opinions in statistics