Calculation of Rates
A cancer incidence rate is defined as the number of new cases of
cancer detected during a specified time period in a specified
population. These rates are most commonly expressed as cases per
100,000 person-years of observation. Cancer occurs at different
rates in different age groups, and population subgroups defined
by gender and race have different age distributions. Therefore,
before a valid comparison can be made between rates, it is
necessary not only to adjust the rates by age but also to
standardize the rates to the age distribution of a standard
population. In this report, the 1970 US Standard Million
population was used.
The first step in this procedure was to determine the age-
specific rates. For each age-group for a given time interval
(within each race-gender group, for the entire state), the
following formula was applied:
| where: |
| ra | = | the age-specific rate for age-group a, |
| na | = | the number of events (cancer diagnoses) in the age-group during the time interval, |
| t | = | the length of the time interval (in years), and |
| Pa | = | average size of the population in the age-group during the time interval (mid-year population or average of mid-year population sizes). |
The age-specific, race and gender specific population estimates
for the state were provided by the SEER Program of NCI through an
interagency agreement with the US Bureau of the Census. The age-specific
rates are not shown in this report but are available
from the NJSCR upon request.
In order to determine the age-adjusted and standardized rate, a
weighted average of the age-specific rates was calculated, using
the age distribution of the standard population to derive the age-specific
weighting factors (Rothman, 1985). This is the
technique of direct standardization, which uses the following
formula:
| where: |
| R | = | the age-adjusted rate |
| ra | = | the age-specific rate for age-group a, and |
| Std.Pa | = | the size of the standard population in each age-group a. |
While age adjustment and standardization facilitates the
comparison of rates among different populations, there can be
important age-specific differences in disease occurrence which
are not apparent in comparisons of the age-adjusted rates
(Breslow and Day, 1987).