Statistical inference is inference about a population from a random sample drawn from it or, more generally, about a random process from its observed behavior during a finite period of time. It includes:
- point estimation
- interval estimation
- hypothesis testing (or statistical significance testing)
There are several distinct schools of thought about the justification of statistical inference. All are based on some idea of what real world phenomena can be reasonably modeled as probability.
The topics below are usually included in the area of statistical inference.
- Statistical assumptions
- Likelihood principle
- Estimating parameters
- Statistical hypothesis testing
- Revising opinions in statistics
- planning statistical research
- summarizing statistical data