An application

 

We are going to give an example of the calculation of healthy life expectancy using the Sullivan method. This example uses similar data as [15]. To that extent, we apply the formula 2:

This calculation is reproduced in table 1.

 

For complete results see: [15]  

(1) (2) (3) (4) (5) (6) (7)

0 100 000 496 892 0.990 491 930 7 010 958 70.1

5 99 244 496 003 0.976 483 872 6 519 028 65.7

65 89 367 436 589 0.804 350 877 1 097 520 12.3

70 84 968 408 793 0.714 291 942 746 643 8.8

75 78 012 364 013 0.630 229 175 454 701 5.8

80 66 625 290 533 0.487 141 559 225 526 3.4

85 48 532 289 068 0.710 83 967 83 967 1.7

These are comments on the different columns of the table 1.

1st column:

ages. Here, for i=0,1,2....17. The different age groups are: 85 and older].

2nd column and 3rd column:

and , respectively number of survivors at age and number of years lived between age and age by people living at age . The values are taken from an ordinary complete life table calculated with deaths registered during the year of the health survey (here, the French life table for 1991).

4th column:

non disabled prevalences (percentage of persons free of disability in the different age groups). These rates derive from a health survey on a sample of the whole population (here, the French health survey of 1991).

5th column:

approximation of the time spent free of disability between and by the persons. We have calculated the products between figures of the 3rd column and those of the 4th column.

6th column:

approximation of the time spent free of disability after age . It is the sum of values of the 5th column from to the end of the column.

7th column:

expectancy of time to be spent free of disability. It is the result of the division of the 6th column by the 2nd column.