Tuesday, August 25, 2015

Mortality rates

Cancer mortality: age-standardised mortality rate (per 100'000 population).

The numbers of deaths per 100 000 population depend on the age distribution of the population. 

Two populations with the same age-specific mortality rates for a particular cause of death will have different overall death rates if the age distributions of their populations are different. 

Age-standardized mortality rates adjust for differences in the age distribution of the population by applying the observed age-specific mortality rates for each population to a standard population.


Male/Female ratio.
The plot below suggests an approximatively linear relationship between the rates for males and females:




2000
Residuals:
     Min       1Q       Median       3Q      Max
-130.426  -28.516   -5.335   28.251  103.132

Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 23.3167 11.9233 1.956 0.0522
Female 1.1329 0.1086 10.428 <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 42.79 on 170 degrees of freedom
Multiple R-squared:  0.3901, Adjusted R-squared:  0.3865
F-statistic: 108.7 on 1 and 170 DF,  p-value: < 2.2e-16

2012
Residuals:
    Min      1Q     Median      3Q     Max
-85.112 -22.146  -4.553  18.698  82.671

Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 13.6069 11.3625 1.198 0.233
Female 1.2395 0.1162 10.664 <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 35.38 on 170 degrees of freedom
Multiple R-squared:  0.4008, Adjusted R-squared:  0.3973
F-statistic: 113.7 on 1 and 170 DF,  p-value: < 2.2e-16

Below, the Q-Q plot for the residuals in 2012:


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