Statistical inference
Statistical Inference
Statistical inference (pronunciation: /stəˈtɪstɪkəl ˈɪnfərəns/) is a process in statistics that involves drawing conclusions from data that are subject to random variation. This is done through the use of mathematical statistics and probability theory.
Etymology
The term "statistical inference" is derived from the Latin words "statisticus" meaning "of state affairs" and "inferre" meaning "to bring in". The term was first used in the context of statistics in the early 20th century.
Related Terms
- Estimation theory: A branch of statistics that deals with estimating the values of parameters based on measured empirical data.
- Hypothesis testing: A statistical method that uses sample data to evaluate a hypothesis about a population parameter.
- Confidence interval: A range of values, derived from a statistical model, that is likely to contain the value of an unknown parameter.
- Bayesian inference: A method of statistical inference in which Bayes' theorem is used to update the probability for a hypothesis as more evidence or information becomes available.
- Frequentist inference: A type of statistical inference that draws conclusions from sample data by emphasizing the frequency or proportion of the data.
See Also
- Probability Theory
- Mathematical Statistics
- Estimation Theory
- Hypothesis Testing
- Confidence Interval
- Bayesian Inference
- Frequentist Inference
External links
- Medical encyclopedia article on Statistical inference
- Wikipedia's article - Statistical inference
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