Statistical inference
Statistical inference or statistical induction comprises the use of statistics and random sampling to make inferences concerning some unknown aspect of a population. It is distinguished from descriptive statistics.
Two schools of statistical inference are frequency probability and Bayesian inference.
Contents [hide]
1 Definition
2 See also
3 Further reading
4 External links
[edit]Definition
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)
Prediction – see predictive inference
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.
Frequency probability
Bayesian probability
Fiducial probability
The topics below are usually included in the area of statistical inference.
Statistical assumptions
Statistical decision theory
Estimation theory
Statistical hypothesis testing
Revising opinions in statistics
Design of experiments, the analysis of variance, and regression
Survey sampling
Summarizing statistical data
Statistical inference or statistical induction comprises the use of statistics and random sampling to make inferences concerning some unknown aspect of a population. It is distinguished from descriptive statistics.
Two schools of statistical inference are frequency probability and Bayesian inference.
Contents [hide]
1 Definition
2 See also
3 Further reading
4 External links
[edit]Definition
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)
Prediction – see predictive inference
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.
Frequency probability
Bayesian probability
Fiducial probability
The topics below are usually included in the area of statistical inference.
Statistical assumptions
Statistical decision theory
Estimation theory
Statistical hypothesis testing
Revising opinions in statistics
Design of experiments, the analysis of variance, and regression
Survey sampling
Summarizing statistical data