AX Average Years Dying Rule Calculator
Compute the average person-years lived by those dying in an interval under the midpoint rule (a = n/2) or the Coale-Demeny infant rule (a0 = 0.07 + 1.7 m0), then convert the death rate to the life-table probability of dying q = n m / (1 + (n - a) m).
Description
Compute the average person-years lived by those dying in an interval under the midpoint rule (a = n/2) or the Coale-Demeny infant rule (a0 = 0.07 + 1.7 m0), then convert the death rate to the life-table probability of dying q = n m / (1 + (n - a) m).
Compute the average person-years lived by those dying in an interval under the midpoint rule (a = n/2) or the Coale-Demeny infant rule (a0 = 0.07 + 1.7 m0), then convert the death rate to the life-table probability of dying q = n m / (1 + (n - a) m).1
When to use AX Average Years Dying Rule Calculator
Use this mortality or life-table method when age intervals, deaths, exposures, survivorship, and open-ended interval assumptions refer to the same population and period.
- Width n
- Age interval width n in years.
- Rate m
- Age-specific death rate m in the interval.
- Rule
- Separation convention: midpoint n/2 for ordinary intervals, or the Coale-Demeny first-year rule a0 = 0.07 + 1.7 m0.
How the method works
- a(x)
- Average years lived by those who die in the interval, a.
- q(x)
- Life-table probability of dying q = n m / (1 + (n - a) m).
Limitations and assumptions
Life-table results depend on age grouping, exposure quality, the treatment of the first and terminal intervals, and assumptions about deaths within each interval. Sparse deaths can make rates unstable.
Alternative or Complementary measures
Complement a summary mortality result with age-specific death rates, survivorship, and exposure counts. A complete life table is preferable when the question involves several ages or remaining life expectancy.
References
-
Life table — Wikipedia contributors
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