. Journal. groups of ages together, butworks out a separate calculation for each group. Besides, themethod of interpolation which I propose would be inapplicablein this instance, because the life-curves of the two tables arevery different. This shows the necessity of proceeding withgreat caution in the selection of the function Mj,. The method analyzed above can be best applied to a table ofthe numbers livdng, but not so easily to a table of the reason of this is, firstly, that the distribution of the deaths isusually devoid of typical form, w^hich the numbers living have;and, secon
. Journal. groups of ages together, butworks out a separate calculation for each group. Besides, themethod of interpolation which I propose would be inapplicablein this instance, because the life-curves of the two tables arevery different. This shows the necessity of proceeding withgreat caution in the selection of the function Mj,. The method analyzed above can be best applied to a table ofthe numbers livdng, but not so easily to a table of the reason of this is, firstly, that the distribution of the deaths isusually devoid of typical form, w^hich the numbers living have;and, secondly, that accidental variations may exercise an , we can often obtain very good results if we leave out ofaccount the years of infancy, as is done in the English occupationstatistics. For instance, we use the mortality intensity of thegeneral population to calculate the deaths expected in theoccupation concerned. VOL. XXXII. 283 The Employment of Interpolation in Statistics. [Jan. Table The total difference is, therefore, under ^ per-cent, and isquite insiguificaut in comparison with the difference found onthe basis of intervals of 20 years. As evidence of the applicability of the method to the deathcases, I will give the result of a calculation respecting theFarmers. The whole number of deaths was 20,292, distributedas follows, according to observation and calculation. Table V. Ages Distribution of Deaths amongFarmers according to Observations Calculation 25- 3535- 4545- 5555- 6565- 7575-100 1817651,2521,9643,3245,4207,386 (181)7411,2761,9423,3465,4717,335 Total . 20,292 20,292 Here also the exactitude obtained is clearly quite mortality coefficients found on the basis of these figures,and of the observed and interpolated population numbers, are asfollows: 1896.^ The Employment of Interpolation in VI. 283 Ages On: OF 10,000 Persons at au. AGES, THERE lilEJD YEARLYACCORDING TO Observations Interpolation 15-2525-3535-4545-555
Size: 2034px × 1228px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookauthorinstituteofactuariesg, bookcentury1800, bookdecade1850
