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STANDARDIZED (ADJUSTED) MORTALITY RATE
(Park's Textbook of Preventive and Social Medicine, pp. 71-72)
WHY STANDARDIZATION IS NEEDED
When comparing the death rates of two populations with different age compositions, the crude death rate (CDR) is not a valid yardstick - because rates are only comparable if the populations upon which they are based are comparable.
For example, a city with more elderly people will always show a higher CDR than a younger city, even if the younger city has worse health. Using a series of age-specific death rates is accurate but cumbersome.
Solution: Age standardization (age adjustment) - removes the confounding effect of different age structures and yields a single standardized/adjusted rate by which mortality experience of different populations can be directly compared. Adjustment can be made for age, sex, race, parity, etc.
METHODS OF STANDARDIZATION
Standardization is carried out by one of two methods: Direct or Indirect. Both begin by selecting a "standard population."
1. DIRECT STANDARDIZATION
Principle
Apply the age-specific death rates of the study population to a chosen standard population to calculate the number of deaths that would have occurred if the study population had the standard age structure.
Steps
- Calculate age-specific death rates for the study population
- Select a standard population (known age-group numbers)
- Multiply each age-specific rate by the corresponding standard population number → Expected deaths per age group
- Sum all expected deaths
- Divide total expected deaths by total standard population
Standardized Death Rate = Total Expected Deaths / Total Standard Population × 1000
Example (City X - from Park's)
Step 1: Age-specific death rates for City X
| Age | Mid-year pop | Deaths | Rate per 1000 |
|---|
| 0 | 4,000 | 60 | 15.0 |
| 1-4 | 4,500 | 20 | 4.4 |
| 5-14 | 4,000 | 12 | 3.0 |
| ... | ... | ... | ... |
| 55-64 | 7,000 | 150 | 21.4 |
| Total | 53,500 | 446 | CDR = 8.3 |
Step 2: Apply age-specific rates to standard population → get Expected Deaths
Step 3: Standardized Death Rate = Total Expected Deaths / Total Standard Population × 1000
This gives a rate that can be directly compared with the standardized rate of another city computed using the same standard population.
Limitation of Direct Method
- Requires age-specific death rates for each population being compared - these may be unavailable or unreliable when population numbers are small
2. INDIRECT STANDARDIZATION - STANDARDIZED MORTALITY RATIO (SMR)
Principle
Instead of applying study population's rates to a standard population, apply the standard population's (national) age-specific rates to the study population to get expected deaths, then compare with observed deaths.
Definition
SMR is a ratio (usually expressed as a percentage) of:
- Observed deaths in the study group
- Expected deaths (calculated by applying national/reference age-specific death rates to the study group's age structure)
SMR = (Observed Deaths / Expected Deaths) × 100
Interpretation
| SMR Value | Meaning |
|---|
| = 100 | Same mortality as reference population |
| > 100 | Greater mortality risk than reference population (unfavorable) |
| < 100 | Lower mortality risk than reference population (favorable) |
Example - Coal Workers (from Park's)
| Age | National rate/1000 | Coal workers | Expected deaths |
|---|
| 25-34 | 3.0 | 300 | 0.9 |
| 35-44 | 5.0 | 400 | 2.0 |
| 45-54 | 8.0 | 200 | 1.6 |
| 55-64 | 25.0 | 100 | 2.5 |
| Total | | 1,000 | 7.0 |
Observed deaths = 9; Expected deaths = 7
SMR = 9/7 × 100 = 129
This means coal workers had 29% more mortality than the national population - an unfavorable experience. This measures the excess risk of mortality due to occupation.
Advantages of Indirect Method (SMR) over Direct Method
- Does not require age-specific death rates of the study population (only needs age distribution)
- More useful when study group numbers are small (age-specific rates unstable)
- Uses more stable rates of the larger (national) population applied to the smaller study group
- Can also be used if the event of interest is occurrence of disease (not just death) → called Standardized Incidence Ratio (SIR)
COMPARISON: DIRECT vs. INDIRECT STANDARDIZATION
| Feature | Direct Method | Indirect Method (SMR) |
|---|
| What is applied to standard population | Study population's age-specific rates | Standard population's age-specific rates applied to study group |
| Result | Standardized Death Rate | SMR (ratio, ×100) |
| Data needed | Age-specific rates of study population | Only age-group numbers of study group |
| Best used when | Large populations, stable rates | Small populations, rates unavailable |
| Allows direct comparison | Yes, between populations | Not directly between multiple populations |
Source: Park's Textbook of Preventive and Social Medicine, Chapter 2 - Epidemiology (pp. 71-72)