Frequency & Sampling Distributions

 

Dr. Philip N. Howard

Department of Communication

University of Washington

 

 

 

Frequency Distribution

Sampling Distribution

Units in curve

Observations (e.g. individuals, firms cities, etc.)

Estimates of parameters calculated from repeated, identical samples of the same population

Normal Distribution

Rarely

Usually

Basis

Empirical:  cases systematically sampled from a defined population

Theoretical (e.g. central limits theorem) although they can be simulated

Average value

Sample mean

‘True’ or population mean

Distribution unit

Standard deviation

Standard error

Primary use

Description of a specific sample

Inference; hypothesis testing about a population

Value to social science

Limited beyond description-very few measures are normally distributed

Great-the foundation for almost all quantitative work

Increased sample

Doesn’t change shape

Distribution becomes more peaked