Outline of statistics
Statistics is a field of inquiry that studies the collection, analysis, interpretation, and presentation of data. It is applicable to a wide variety of academic disciplines, from the physical and social sciences to the humanities; it is also used and misused for making informed decisions in all areas of business and government.
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Nature of statistics
Statistics can be described as all of the following:
- An academic discipline: one with academic departments, curricula and degrees; national and international societies; and specialized journals.
- A scientific field (a branch of science) – widely recognized category of specialized expertise within science, and typically embodies its own terminology and nomenclature. Such a field will usually be represented by one or more scientific journals, where peer reviewed research is published.
- A formal science – branch of knowledge concerned with formal systems.
- A mathematical science – field of science that is primarily mathematical in nature but may not be universally considered subfields of mathematics proper. Statistics, for example, is mathematical in its methods but grew out of political arithmetic which merged with inverse probability and grew through applications in the social sciences and some areas of physics and biometrics to become its own separate, though closely allied, field.
History of statistics
Describing data
Experiments and surveys
- Design of experiments
- Optimal design
- Factorial experiment
- Restricted randomization
- Repeated measures design
- Randomized block design
- Statistical survey
- Opinion poll
Sampling
Analysing data
Filtering data
Statistical inference
- Statistical inference
- Mathematical statistics
- Bayesian inference
- Bayes' theorem
- Bayes estimator
- Prior distribution
- Posterior distribution
- Conjugate prior
- Frequentist inference
- Statistical hypothesis testing
- Null hypothesis
- Alternative hypothesis
- P-value
- Significance level
- Statistical power
- Likelihood-ratio test
- Confidence interval
- Statistical hypothesis testing
- Decision theory
- Estimation theory
- Estimator
- Bayes estimator
- Maximum likelihood
- Trimmed estimator
- M-estimator
- Non-parametric statistics
Probability distributions
Random variables
Probability theory
Statistics software
- Free statistical software
- List of statistical packages
Statistics organizations
Statistics publications
- List of statistics journals
- List of important publications in statistics
- List of scientific journals in statistics
Persons influential in the field of statistics
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See also
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