# Statistical theory

Statistical theory

The theory of statistics includes a number of topics:

Statistical models of the sources of data and typical problem formulation:
#Sampling from a finite population
#Measuring observational error and refining procedures
#Studying statistical relations

Planning statistical research to measure and control observational error:

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

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

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

Interpreting statistical data is the final objective of all research:

#Common assumptions that we make
#Likelihood principle
#Estimating parameters
#Testing statistical hypotheses
#Revising opinions in statistics

ee also

*Probability
*Statistics
*List of statistical topics

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