Calculate the age-standardized all-cause mortality in the US in 1950 and Census

Question

Calculate the age-standardized all-cause mortality in the US in 1950 and Census as standard. 2018 using the age-distribution Table 1. Age-specific all-cause mortality per 1,000 population in the United States, in 1968, and 2016. Age groups (years) 0-34 35-64 65+ Crude all-cause mortality 1968 1.6 8.6 61.4 9.7 2016 0.8 5.0 40.7 8.5 * For didactic purposes, in real life the more age groups the better. Crude mortality rate ratio-97/8.54.14, indicating that the mortality in the US would be 14% higher in 1: 2016. Table 2. Distribution of the US 2000 Census population in 3 broad age-groups (as fraction of 1) (for didac purposes, in real life the more age groups the better). Weights Age groups (in years) 0-34 35-64 65+ 0.013818 0.055317 0.072533

Explanation / Answer

Age-adjusted all-cause mortality for particular age-group = (Age-adjusted all-cause mortality for particular age- group)* weight for particular age group.

1968:

0-34: Age-adjusted all-cause mortality for 0-34 = 1.6 * 0.013818 = 0.0221088

35-64: Age-adjusted all-cause mortality for 35-64 = 8.6 * 0.055317 = 0.4757262

65+: Age-adjusted all-cause mortality for 65+ = 61.4 * 0.072533 = 4.4535262

Age-adjusted all-cause mortality in 1968 = 0.0221088 + 0.4757262 + 4.4535262 = 4.951362

2016:

0-34: Age-adjusted all-cause mortality for 0-34 = 0.8 * 0.013818 = 0.0110544

35-64: Age-adjusted all-cause mortality for 35-64 = 5.0 * 0.055317 = 0.276755

65+: Age-adjusted all-cause mortality for 65+ = 40.7 * 0.072533 = 2.9520931

Age-adjusted all-cause mortality in 2016= 0.0110544 + 0.276755 + 2.9520931 = 3.2399025

Ratio of Age-adjusted all-cause mortality in 1968 to Age-adjusted all-cause mortality in 2016 = Age-adjusted all- cause mortality in 1968 / Age-adjusted all-cause mortality in 2016

= 4.951362 / 3.2399025 = 1.528244

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