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The simplest death rate is the crude death rate (CDR), defined as the total number of deaths divided by the midyear population. CDRs are usually expressed as a ...
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AND PREVENTION
Direct standardization
Age
Community A
Rate^1
Community B
Deaths Population Deaths Population Rate^1
0–34 years.................................... 20 1,000 20 180 6,000 30 35–64 years................................... 120 3,000 40 150 3,000 50 65 years and over............................... 360 6,000 60 70 1,000 70
Total........................................ 500 10,000 50 400 10,000 40
(^1) Per 1,000 population.
Age
Community A Community B
Standard population Rate^1
Rate × population Rate
Rate × population
0–34 years.................................... 3,000 20 60 30 90 35–64 years................................... 3,000 40 120 50 150 65 years and over............................... 4,000 60 240 70 280
Total........................................ 10,000 42 420 52 520
(^1) Per 1,000 population.
Indirect standardization
Summary
References
d = (^) ∑ i di
p = (^) ∑ i pi
∑ i psi
ADR = (^) ∑
∑ i di
∑ i m^ si * pi
M (^) s * (^) ∑ i di
∑ i m^ si * pi
Variance (ADR) = (^) ∑ i
(ADR – 1.96 * √ var (mi ) , ADR + 1.96 * √ var (m (^) i ) )
Age
Standard million (psi)
Unit basis (psi/ 1,000,000)
All ages............. 1,000,000 1.
Under 1 year.......... 15,343 0. 1–4 years............ 64,718 0. 5–14 years............ 170,355 0. 15–24 years........... 181,677 0. 25–34 years........... 162,066 0. 35–44 years........... 139,237 0. 45–54 years........... 117,811 0. 55–64 years........... 80,294 0. 65–74 years........... 48,426 0. 75–84 years........... 17,303 0. 85 years and over....... 2,770 0.
Age di
pi (thousands)
mi (per 100,000)
wsi (unit basis) Var (mi) w^2 i* Var(mi)
Males
Under 1 year...................... 1 38 2.6 0.015343 6.84193 0. 1–4 years........................ – 150 – 0.064718 0.00000 0. 5–14 years........................ 1 322 0.3 0.170355 0.09317 0. 15–24 years....................... 2 344 0.6 0.181677 0.17442 0. 25–34 years....................... 8 443 1.8 0.162066 0.40631 0. 35–44 years....................... 21 379 5.5 0.139237 1.45111 0. 45–54 years....................... 46 256 18.0 0.117811 7.02998 0. 55–64 years....................... 103 189 54.5 0.080294 28.82026 0. 65–74 years....................... 254 136 186.8 0.048426 137.09637 0. 75–84 years....................... 371 57 650.9 0.017303 1134.49700 0. 85 years and over................... 212 12 1,766.7 0.002770 14462.39759 0.
Variance of age-adjusted death rate = Sumw^21 * Var (mi ) = 1. Standard error of ADR = Square root of variance = 1.
Females
Under 1 year...................... 1 36 2.8 0.015343 7.77756 0. 1–4 years........................ – 143 – 0.064718 0.00000 0. 5–14 years........................ 1 309 0.3 0.170355 0.09709 0. 15–24 years....................... 2 337 0.6 0.181677 0.17804 0. 25–34 years....................... 7 458 1.5 0.162066 0.32751 0. 35–44 years....................... 21 401 5.2 0.139237 1.29669 0. 45–54 years....................... 41 267 15.4 0.117811 5.76690 0. 55–64 years....................... 83 208 39.9 0.080294 19.17504 0. 65–74 years....................... 245 178 137.6 0.048426 77.19700 0. 75–84 years....................... 553 100 553.0 0.017303 549.94191 0. 85 years and over................... 661 34 1,944.1 0.002770 5606.77868 0.
Variance of age-adjusted death rate = Sumw^21 * Var (mi ) = 0. Standard error of ADR = Square root of variance = 0.