Statistical theory

The theory of statistics includes a number of topics:

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Statistical models of the sources of data and typical problem formulation:

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• Sampling from a finite population
• Measuring observational error and refining procedures
• Studying statistical relations

Planning statistical research to measure and control observational error:

Related Topics:
Planning statistical research - Observational error

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• Design of experiments to determine treatment effects
• Survey sampling to describe natural populations

Summarizing statistical data in conventional forms (also known as descriptive statistics)

Related Topics:
Summarizing statistical data - Descriptive statistics

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• Choosing summary statistics to describe a sample
• Fitting probability distributions to sample data

Interpreting statistical data is the final objective of all research:

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• Common assumptions that we make
• Likelihood principle
• Estimating parameters
• Testing statistical hypotheses
• Revising opinions in statistics
 
Statistical theory: See also ►