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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
See also
Probability
and
Statistics
.
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