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The Oregon
Health Division has a highly recommended online publication called
"The
Data Difference: The Data User's Guide," which addresses
issues of proper usage and understanding of data. In addition, we
provide some overview of basic concepts and issues here:
Everything
You Always Wanted to Know About Using Data
What is a frequency?
A frequency is simply the total count of an
event. For example, the total number of births in a county is the
frequency.
What is a proportion?
This is usually expressed as a percentage. It
is a good measurement to show the portion of the whole. Let's say
you want to know the percentage of people 65 years of age and over
in Oregon. This is the proportion of the population that is 65 years
of age or older. To calculate this, take the number of people 65
years of age or older divided by the total population, multiplied
by 100.
What is a rate?
A rate measures how frequently an event is occurring
or how common an event is in a population during a specific time.
The equation is as follows: (number of events
occurring during a given period) / (population at risk during same
period) x 10n.
The size of 10n usually equals 1,000
or 100,000. For example, 103 = 10 x 10 x 10 = 1,000,
and 105 = 10 x 10 x 10 x 10 x 10 = 100,000.
The population at risk is the population that
is at risk of experiencing the event. This is the population that
can have the event occur to them. For example, if you are calculating
a fertility rate, the population at risk of experiencing the event
consists of females who can have babies. Often the exact population
at risk is not available, so the entire population of a sub-population
is used. When the whole population is used in the denominator, this
is referred to as a crude rate because it assumes that everyone
has the same risk of experiencing the event.
When calculating rates, be sure to use:
- The same age groups in the numerator and
denominator.
- The same year in the numerator and denominator.
- The same geographical area in the numerator
and denominator.
Let's take pregnancies among teens (females
ages 10-17) as an example. The pregnancy rates measures how frequently
pregnancy occurs among the teen population. The numerator consists
of the number of teens who were pregnant and the population at risk
is the population of females ages 10-17. The equation looks like
this: (pregnancies among females ages 10-17 during a specific time
period) / (population of females ages 10-17 for the same period)
x 1000.
Teen pregnancy rate is usually expressed per
1,000 teens. The teen pregnancy rate for 1995 is: 3,284 / 170,807
x 1,000 = 0.0192 = 19.2
There were 19.2 pregnancies for every 1,000
females age 10-17 in 1995.
How can the rate be per 1,000 or 100,000
people when there are not that many people in our county?
Rates give a meaningful way to compare the frequency
of teen pregnancy between places with different populations. Comparing
the number of teen pregnancies in Washington and Harney counties
(322 vs. 9) is not meaningful: Washington County will always have
a larger number simply because it has a larger teen population at
risk of getting pregnant.
But when we divide the number of pregnancies
by the population of the area, and multiply the rates by 1,000,
we effectively negate the population difference. We're saying that
if Washington and Harney counties each have 1,000 females age 10-17,
the frequency of pregnancy would be 15.9 per 1,000 in Washington
County and 20.9 per 1,000 in Harney County. The rate in Harney County
is higher even though its number of teen pregnancies is lower.
How do I compute the change in a rate or
any data from one year to another?
The best way to calculate the percentage change
in the rate or in the data is to use the following equation: (new
data - old data) / (old data) x 100. For example, if you want
to calculate the percentage change in the teen pregnancy rate for
females age 10-17 from 1995 to 1994, set up the equation like this:
The pregnancy rate for females age 10-17 was
18.9 in 1994 and 19.2 in 1995. This computes to an increase of 1.6
percent:
(1995 - 1994) / 1994 x 100
(19.2 - 18.9) / 18.9 = 0.3 / 18.9 = 0.016 x
100 = 1.6%
Source: Oregon Health Division, Center for Health
Statistics
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