Variance of

The determination of is the subject matter of the table 3. We use the following formula (equation 21):

 

 

(1) (2) (3) (4) (5) (6) (7) (8)

0 100 000 496 892 0.010 0.000012 3 068 384 0.0624 0.25

5 99 244 496 003 0.024 0.000033 7 823 949 0.0630 0.25

65 89 367 436 589 0.196 0.000281 53 539 268 0.0466 0.22

70 84 968 408 793 0.286 0.000507 84 661 295 0.0441 0.21

75 78 012 364 013 0.370 0.000675 92 223 675 0.0384 0.20

80 66 625 290 533 0.513 0.000914 77 166 384 0.0325 0.18

85 48 532 289 068 0.710 0.000805 67 281 733 0.0285 0,17

These are comments on the different columns of the table:

1st column:

ages, .

2nd column:

the number of people remaining at age in the fictitious cohort , ,.

3rd column:

the time spent alive in , ,.

4th column:

permanent disability prevalence ratios to use in Sullivan formulae, , taken from table 2.

5th column:

variance of , , taken from table 2.

6th column:

calculations of . It is the product of the square of the figures of column 2 by the figures of the 5th column.

7th column:

variance of , . It is the sum from age x of values of the 6th column to the end, divided by .

8th column:

standard error of , . Practically, it is the square roots of values of previous column.