CLIO Learning Modules
Study DesignSelectionSample SizeData Collection and AnalysisHuman Subjects

Modules
Hypothesis
'Me too studies'
Target Population
Exposure
Outcome
Rate
Experiment
Attributable Risk
Relative Risk
Data Sources
Study Time
Case Control
Nested Case-Control
Prospective Cohort
Retrospective Cohort
Randomized Clinical Trial
Rate
Definition

A rate describes the number of cases observed in a defined population during a defined time period.

Explanation

A rate is a proportion with the added element of time. In other words, it is the "velocity" of a disease. Time can be measured in a simple manner, such as a calendar year. This is useful for describing a cancer rate for a county. Given the number of cases observed from January 1 to December 31, and the population of the county, a simple rate can be calculated.

Example

Gastric cancer in San Francisco County in 1990
Cases: 83
Population: 723,959
Time: 1 year

Rate = 83 / 723,959 / 1 = 0.000114 cases per person per year

When describing rare outcomes such as cancer, rates can be small. Rates such as this are standardly written using a denominator of 10,000 or 100,000 population:

Rate = 11.4 cases per 100,000 per year.

Suppose a smaller county of 200,000 has 36 cases over 1 year = 0.00018 cases per person per year. By standardizing to 18 cases per 100,000 per year, the comparison with the first city is much easier (11.4 against 18 versus 0.000114 against 0.00018).

Expansion

Time is sometimes described in "person-years". In this case, the denominator is the number of people studied times the amount of time each person was followed up to the date an outcome might have occurred. Person-years allows for calculation of rates in a population where not everyone is contributing the same amount of time.

Further reading

Quantifying disease in populations


June 4, 2004 v0.20
Copyright © 2004 Stanford School of Medicine