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Statistical inference

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The topics below are usually included in the area of statistical inference.
  1. Statistical assumptions
  2. Likelihood principle
  3. Estimating parameters
  4. Testing statistical hypotheses
  5. Revising opinions in statistics
  6. planning statistical research
  7. summarizing statistical data

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:

  1. point estimation
  2. interval estimation
  3. hypothesis testing (or statistical significance testing)
  4. prediction
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.
  1. frequency probability
  2. Bayesian probability
  3. eclectic probability

 


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