Statistical theory

back to Probability and Statistics

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

1. Measuring Observational Error and refining procedures

1. Studying statistical relations

Planning Research to measure and control Observational Error:

1. Designing Experiments to determine treatment effects

1. 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

1. Fitting Probability Distributions to sample data

Interpreting Statistical Data is the final objective of all research:

1. Common assumptions that we make

1. Likelihood Principle

1. Estimating Parameters

1. Testing Hypotheses

1. Revising Opinions