Age-Adjusted Rates
Crude rates provide a useful summary measure to compare similar populations of different sizes, but crude rates are sensitive to differences in age compositions.
For example, a county with an older population will have a higher crude death rate due to cancer, even though its risk exposure levels and age-specific cancer rates may the same as those in other counties. One might incorrectly attribute the high cancer rate to some characteristic of the county other than age. Age-adjustment may also be used to control for age effects when comparing across several years of data, as the age distribution of the population changes over time. Calculating age-adjusted rates may be accomplished using direct, or indirect age standardization.
Direct age-adjustment (or age standardization) is the same as calculating a
weighted average. It weights the
age-specific rates observed in a
population of interest by the proportion of each age group in a standard population
(Lilienfeld & Stolley).
In 1999, the Centers for Disease Control and Prevention (CDC) replaced the 1940 U.S. standard population weights that had been used for the several previous decades with revised standard population weights for direct age-adjustment (Klein & Schoenborn). Tables 1 and 2, in the next section below, contain the CDC standard population weights, which represent the proportion of the U.S. 2000 projected population in each age group, and sum to 1.0.
Compare only age-adjusted rates that have been adjusted to thesame standard
population. For instance, don't compare rates age-adjusted using the U.S. 1940 standard population
with rates that were age-adjusted using the U.S. 2000 population.
Unless otherwise noted, all age-adjusted rates in NJSHAD have been adjusted using the US 2000 population standard.
Age-adjusted rates should be viewed asrelative indexes , and used for comparison
of populations. They are not actual measures of mortality risk, and do not convey the magnitude of the problem.
In 1999, the Centers for Disease Control and Prevention (CDC) replaced the 1940 U.S. standard population weights that had been used for the several previous decades with revised standard population weights for direct age-adjustment (Klein & Schoenborn). Tables 1 and 2, in the next section below, contain the CDC standard population weights, which represent the proportion of the U.S. 2000 projected population in each age group, and sum to 1.0.
Compare only age-adjusted rates that have been adjusted to the
Unless otherwise noted, all age-adjusted rates in NJSHAD have been adjusted using the US 2000 population standard.
Age-adjusted rates should be viewed as
Table 1. Age-Adjusted Weights for U.S. 2000 Standard Population (11 Age Groups)
Group # | Age Group | U.S. 2000 Population Projection (in thousands) | Weight |
---|---|---|---|
1 | Under 1 Year | 3,795 | 0.013818 |
2 | 1 - 4 Years | 15,192 | 0.055317 |
3 | 5 - 14 Years | 39,977 | 0.145565 |
4 | 15 - 24 Years | 38,077 | 0.138646 |
5 | 25 - 34 Years | 37,233 | 0.135573 |
6 | 35 - 44 Years | 44,659 | 0.162613 |
7 | 45 - 54 Years | 37,030 | 0.134834 |
8 | 55 - 64 Years | 23,961 | 0.087247 |
9 | 65 - 74 Years | 18,136 | 0.066037 |
10 | 75 - 84 Years | 12,315 | 0.044842 |
11 | 85 Years and Over | 4,259 | 0.015508 |
All Ages | 274,634 | 1.000000 |
Population estimates for municipalities are not available separately for Under 1 Year and 1-4 Years, so they are combined into an Under 5 Years age group when calculating age-adjusted death rates.
Table 2. Age-Adjusted Weights for U.S. 2000 Standard Population (10 Age Groups)
Group # | Age Group | U.S. 2000 Population Projection (in thousands) | Weight |
---|---|---|---|
1 | Under 5 Years | 18,987 | 0.069135 |
2 | 5 - 14 Years | 39,977 | 0.145565 |
3 | 15 - 24 Years | 38,077 | 0.138646 |
4 | 25 - 34 Years | 37,233 | 0.135573 |
5 | 35 - 44 Years | 44,659 | 0.162613 |
6 | 45 - 54 Years | 37,030 | 0.134834 |
7 | 55 - 64 Years | 23,961 | 0.087247 |
8 | 65 - 74 Years | 18,136 | 0.066037 |
9 | 75 - 84 Years | 12,315 | 0.044842 |
10 | 85 Years and Over | 4,259 | 0.015508 |
All Ages | 274,634 | 1.000000 |
The National Cancer Institute's Surveillance, Epidemiology, and End Results (SEER) Program uses the 2000 U.S. Standard Population with 19 age groups for age-adjustment of cancer rates.
Other age groupings and weights are used when survey data are limited to certain age groups, such as cancer screenings, shingles vaccination, or falls. Those weights, as well more information about age adjustment in general, are available in the National Center for Health Statistics' Age Adjustment Using the 2000 Projected U.S. Population Statistical Note.
To apply direct age-adjustment to a set of rates, the age-specific rate for each
age group in the study population is multiplied by the appropriate weight in the
standard population. The sum of these products is the directly age-adjusted, or
age-standardized, rate. The age-adjusted rate can be considered an average of each
of the individual age-specific rates, but rather than being a simple average, it
is a weighted average with each age-specific rate weighted
by the proportion of people in the same age group in the standard population.
Tables 3a. and 3b. demonstrate the method used by NJSHAD to calculate age-adjusted rates. Notice that using crude death rates in Tables 3a. and 3b., one might conclude that whites have a higher underlying risk for heart disease death compared with blacks. However, the white population has a higher proportion of older persons and older persons are more likely to die due to heart disease than younger persons. Applying the standard population weights, gives older persons less weight in the calculation of age-adjusted rate, which ultimately shows that the risk is greater for the black population.
Notes:
1. Source: New Jersey Department of Labor and Workforce Development, State Data Center
2. Rate per 100,000 = (Age-specific death count/Age-specific population estimate)* 100,000
3. Age-specific death rate * US 2000 Standard Population Weight
* Crude death rate
†Age-adjusted rate
Age adjustment is not appropriate if the age-specific death rates in the population of interest do not have a consistent relationship. For example, if the death rate among younger persons is increasing over time, but the death rate among older persons is decreasing over time, one would not want to age-adjust rates across years. One's conclusion of the trend in this death rate would be different, depending on which standard population is used. A younger standard population (such as the US 1940) would show an increase, whereas an older standard population (such as the US 2000) would show a decrease, or no change at all. Care should be taken so that the selection of the standard population does not affect the comparisons. For more information, see Curtin & Klein.
When reporting age-adjusted rates, always report the standard population used, and when comparing results to other data, be sure to document that those data were also age-adjusted and report the standard population. The age-adjusted rate is hypothetical, and is useful only forcomparing populations, either over time, by geographic area,
by sex or by racial/ethnic subgroups.
Although age-adjustment may be used with broad population age groups, such as adults (e.g., age 18+), it is not necessary (or meaningful) to age-adjust data for smaller age groups (e.g., age 18-24).
Tables 3a. and 3b. demonstrate the method used by NJSHAD to calculate age-adjusted rates. Notice that using crude death rates in Tables 3a. and 3b., one might conclude that whites have a higher underlying risk for heart disease death compared with blacks. However, the white population has a higher proportion of older persons and older persons are more likely to die due to heart disease than younger persons. Applying the standard population weights, gives older persons less weight in the calculation of age-adjusted rate, which ultimately shows that the risk is greater for the black population.
Table 3a. Age-Adjusted Death Rate due to Heart Disease among Whites, New Jersey, 2004
Age Group (years) | Number of Deaths in 2004 | 2004 Population Estimates1 | Age-Specific Rate2 | U.S. 2000 Standard Population Weight | Cross Products3 |
---|---|---|---|---|---|
Under 5 | 4 | 307,139 | 1.30 | 0.069135 | 0.090037 |
5 - 14 | 3 | 709,758 | 0.42 | 0.145565 | 0.061527 |
15 - 24 | 15 | 634,256 | 2.36 | 0.138646 | 0.327894 |
25 - 34 | 35 | 576,010 | 6.08 | 0.135573 | 0.823780 |
35 - 44 | 169 | 883,005 | 19.14 | 0.162613 | 3.112281 |
45 - 54 | 542 | 886,502 | 61.14 | 0.134834 | 8.243639 |
55 - 64 | 1,126 | 647,215 | 173.98 | 0.087247 | 15.178901 |
65 - 74 | 2,109 | 411,158 | 512.94 | 0.066037 | 33.873118 |
75 - 84 | 5,679 | 353,102 | 1,608.32 | 0.044842 | 72.120157 |
85 + | 7,621 | 141,128 | 5,400.06 | 0.015508 | 83.744167 |
All Ages | 17,305 | 5,549,273 | 311.8* | 1 |
Table 3b. Age-Adjusted Death Rate due to Heart Disease among Blacks, New Jersey, 2004
Age Group (years) | Number of Deaths in 2004 | 2004 Population Estimates1 | Age-Specific Rate2 | U.S. 2000 Standard Population Weight | Cross Products3 |
---|---|---|---|---|---|
Under 5 | 3 | 91,279 | 3.29 | 0.069135 | 0.227221 |
5 - 14 | 2 | 188,782 | 1.06 | 0.145565 | 0.154215 |
15 - 24 | 8 | 178,727 | 4.48 | 0.138646 | 0.620593 |
25 - 34 | 24 | 159,695 | 15.03 | 0.135573 | 2.037479 |
35 - 44 | 84 | 186,190 | 45.12 | 0.162613 | 7.336319 |
45 - 54 | 205 | 149,037 | 137.55 | 0.134834 | 18.546381 |
55 - 64 | 309 | 98,175 | 314.74 | 0.087247 | 27.460477 |
65 - 74 | 470 | 58,583 | 802.28 | 0.066037 | 52.980199 |
75 - 84 | 609 | 32,097 | 1,897.37 | 0.044842 | 85.082026 |
85 + | 3 | 1,584 | 189.45 | 0.015508 | 2.938097 |
All Ages | 2,152 | 1,153,392 | 186.6* | 1 |
Notes:
1. Source: New Jersey Department of Labor and Workforce Development, State Data Center
2. Rate per 100,000 = (Age-specific death count/Age-specific population estimate)* 100,000
3. Age-specific death rate * US 2000 Standard Population Weight
* Crude death rate
†
Age adjustment is not appropriate if the age-specific death rates in the population of interest do not have a consistent relationship. For example, if the death rate among younger persons is increasing over time, but the death rate among older persons is decreasing over time, one would not want to age-adjust rates across years. One's conclusion of the trend in this death rate would be different, depending on which standard population is used. A younger standard population (such as the US 1940) would show an increase, whereas an older standard population (such as the US 2000) would show a decrease, or no change at all. Care should be taken so that the selection of the standard population does not affect the comparisons. For more information, see Curtin & Klein.
When reporting age-adjusted rates, always report the standard population used, and when comparing results to other data, be sure to document that those data were also age-adjusted and report the standard population. The age-adjusted rate is hypothetical, and is useful only for
Although age-adjustment may be used with broad population age groups, such as adults (e.g., age 18+), it is not necessary (or meaningful) to age-adjust data for smaller age groups (e.g., age 18-24).
Population Year
Event Rates for a Subpopulation
When NOT to Age-Adjust
- You are comparing populations with similar age distributions, and age-adjustment does not produce a rate that is substantively different from the crude rate.
- You are comparing groups with the same narrow age range.
- Do not use Direct Age-Adjustment if you have too few cases (you should have a least 20 events across all age groups). Instead, use Indirect Age-Adjustment.
Age Subpopulations
Age/Sex Adjusted Rates
Confidence Intervals for Age-Adjusted Rates
In some cases, such as when there are too few cases to stratify by age, "indirect age standardization"
may be used. Indirect standardization is based on standard mortality and morbidity ratios (SMR), and
adjusts the age-specific rates found in the standard population to the age distribution of the smaller
area or sub-population. According to Curtin & Klein, "One of the problems with
[direct age adjustment] is that rates based on small numbers of deaths will exhibit a large amount of
random variation. A very rough guideline is that there should be at least 25 total deaths over all age
groups." NJSHAD follows NCHS's guideline of 20 total deaths. When fewer than 20 health events
occurred over a time period, you may consider combining years, or using indirect age-adjustment.
The direct method can present problems when population sizes are particularly small. Calculating directly standardized rates requires calculating age-specific rates, and for small areas these age-specific rates may be based on only one or two events. In such cases, indirect standardization of rates may be used.
Indirectly standardized rates are based on the standard mortality or morbidity ratio (SMR) and the crude rate for a standard population. Indirect standardization adjusts the overall standard population death rate to the age distribution of the small area (Lilienfeld & Stolley). It is technically appropriate to compare indirectly standardized rates only with the rate in the standard population, not with each other.
The direct method can present problems when population sizes are particularly small. Calculating directly standardized rates requires calculating age-specific rates, and for small areas these age-specific rates may be based on only one or two events. In such cases, indirect standardization of rates may be used.
Indirectly standardized rates are based on the standard mortality or morbidity ratio (SMR) and the crude rate for a standard population. Indirect standardization adjusts the overall standard population death rate to the age distribution of the small area (Lilienfeld & Stolley). It is technically appropriate to compare indirectly standardized rates only with the rate in the standard population, not with each other.
The measure that best informs the question you are trying to answer is the one to use.
This is a guideline, not a hard and fast rule, but generally:
If the question is: | Then use: |
---|---|
MAGNITUDE: How big is the problem? | Number of events (count) |
PROBABILITY: What is the underlying risk in a population? | Crude rate and confidence interval |
DISPARITY: Is there a difference in risk after controlling for age? | Age-adjusted rate and confidence interval |
References
1. Anderson RN, Rosenberg HM. Age Standardization of Death Rates: Implementation of the Year 2000 Standard. National vital statistics reports; vol 47 no.3. Hyattsville, Maryland: National Center for Health Statistics. 1998.
2. Klein RJ, Schoenborn CA. Age-Adjustment Using the 2000 Projected U.S. Population. Healthy People Statistical Notes, no. 20. Hyattsville, Maryland: National Center for Health Statistics. January 2001.
3. Curtin, LR, Klein, RJ. Direct Standardization (Age-Adjusted Death Rates). Healthy People Statistical Notes, no. 6. Hyattsville, Maryland: National Center for Health Statistics. March 1995.
4. Fleiss, JL. Statistical methods for rates and proportions. John Wiley and Sons, New York, 1973. As cited in Curtin and Klein, 1995.
5. Lilienfeld, DE and Stolley, PD. Foundations of Epidemiology, 3rd Ed. Oxford University Press, 1994.