Statistical theory

The Theory of Statistics includes a number of topics:

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

1. Sampling from a finite population
2. Measuring Observational Error and refining procedures
3. Studying statistical relations

Planning Research to measure and control Observational Error:

1. Designing Experiments to determine treatment effects
2. Survey Sampling to describe natural populations

Summarizing Statistical Data in conventional forms (also known as Descriptive Statistics)

1. Choosing Summary Statistics to describe a sample
2. Fitting Probability Distributions to sample data

Interpreting Statistical Data is the final objective of all research:

1. Common assumptions that we make
2. Likelihood Principle
3. Estimating Parameters
4. Testing Hypotheses
5. Revising Opinions

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