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 Research to measure and control Observational Error:
- Designing 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 Hypotheses
- Revising Opinions
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