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- **Direct Method
- Indirect Method**
Issue: Often times, we wish to compare
mortality rates between populations, or at
different time periods in one population,
however, the population groups may differ
with respect to underlying characteristics
(e.g. age, gender) that may affect the overall
mortality rate
(hence – not a “fair” comparison).
Standardization accounts for the differing
distributions of the underlying
characteristics
Age Popul. # Deaths % of Popul. Death Rate
Hillsborough 1995 (top) Pinellas 1995 (bottom)
- 0 to 14 190,703 174 21.4% 0.
- 15 to 24 115,928 115 13.0% 0.
- 25 to 44 289,441 620 32.4% 0.
- 45 to 64 180,396 1,435 20.2% 0. - 65 + 116,406 5,657 13.0% 0.
- TOTAL 892,874 8,001 100.0% 0. - 0 to 14 138,986 116 15.9% 0. Age Popul. # Deaths % of Popul. Death Rate - 15 to 24 83,815 63 9.6% 0. - 25 to 44 239,396 498 27.3% 0. - 45 to 64 190,427 1,421 21.7% 0. - 65 + 223,576 10,326 25.5% 0.
- TOTAL 876,200 12,424 100.0% 0.
Direct Standardization:
One way to select the standard population is to
combine population counts from the
populations.
We can then apply the category-specific death
rates to the standard population to calculate
and compare the expected number of deaths in
each population.
Adjusted Death Rate (H) = 21094 / 1,769,074 = 1,192 per 100K Adjusted Death Rate (P) = 20020 / 1,769,074 = 1,132 per 100K
Age-adjusted rate ratio = 1,192 / 1,132 = 1.
Using Hillsborough + Pinellas county as the
standard population:
The age-adjusted 1995 death rate appears to be
approximately 5% higher in Hillsborough county
compared to Pinellas county.
Direct Standardization:
Another way to select the standard population
is to use an external standard population,
such as the United States population.
As before, we can then apply the category-
specific death rates to the standard
population to calculate and compare the
expected number of deaths in each
population.
U.S. Death Rate Expected Deaths Age Popul. H P H P 0 to 14 55,961,000 .0009 .0008 50,364 44,
15 to 24 36,124,000 .0010 .0008 36,124 28,
25 to 44 82,366,000 .0021 .0021 172,968 172,
45 to 64 48,345,000 .0080 .0075 386,760 362,
65 + 32,283,000 .0486 .0462 1,568,953 1,491, Total 255,079,000 ----- ----- 2,215,169 2,100,
Adj. Death Rate (H) = 2,215,169 / 255,079,000 = 868 per 100K
Adj. Death Rate (P) = 2,100,696 / 255,079,000 = 824 per 100K
Adj. Death Rate (H) = 2,215,169 / 255,079,000 = 868 per 100K
Adj. Death Rate (P) = 2,100,696 / 255,079,000 = 824 per 100K
Age-adjusted rate ratio = 868 / 824 = 1.
Using the United States as the standard
population:
The age-adjusted 1995 death rate appears to be
approximately 5% higher in Hillsborough county
compared to Pinellas county.
Axioms (Direct Adjustment):
3. If the stratum-specific rates differ, calculating an
adjusted rate will mask important differences.
Thus, the adjusted rates should be compared
cautiously, and the stratum-specific rates should
be mentioned.
4. The selection of the standard population is
arbitrary. However, when 2 or 3 populations are
being compared, use the sum of the populations.
Axioms (Direct Adjustment):
5. If you believe that one population is not exposed,
and the other may be, choose the non-exposed
group as the standard population.
6. You can choose a “ standard ” standard population:
They usually come in sets of three:
--- Developing World Standard – weighted to the young --- Developed World Standard – weighted to adults --- Global World Standard – average of the above two
Indirect Adjustment:
1. Conceptually similar to direct adjustment, but
uses standard stratum-specific “rates” rather
than standard stratum-specific “weights”
(population counts).
2. Using the standard “rates,” we compare the
the observed number of events to the
expected number of events.
Indirect Adjustment:
THE RESULTS ARE PRESENTED AS THE
“STANDARDIZED MORBIDITY” OR
“MORTALITY” RATIO (SMR)
observed cases (O)
SMR = ------------------------ ( x 100)
expected cases (E)
EXAMPLE: INDIRECT ADJUSTMENT
Underground potash miners vs. general
population
Interpretation: SMR = 105.
We estimate that underground potash
miners have a 6% higher risk of
mortality than the general population.
EXAMPLE: INDIRECT ADJUSTMENT
Underground potash miners vs. general
population
Interpretation: SMR = 105.
But don’t forget about the “healthy worker”
effect (e.g. we expect workers to have a
lower mortality than the general population).
Also, beware that the general population
almost always contains some exposed
individuals (e.g. bias toward the null).