The mean absolute difference between 5-year survival ratios with optional age trimming. Based on LIFIT program from the MPCDA code base.
ADM( lx1, lx2, Age1, Age2 = Age1, ageMin = max(c(min(Age1), min(Age2))), ageMax = min(c(max(Age1), max(Age2))) )
| lx1 | numeric. Vector of the first survival function, any radix size. |
|---|---|
| lx2 | numeric. Vector of the first survival function, any radix size. |
| Age1 | integer. A vector of ages of the lower integer bound of the age groups corresponding to |
| Age2 | integer. A vector of ages of the lower integer bound of the age groups corresponding to |
| ageMin | integer. Optional lower age bound for calculations. |
| ageMax | integer. Optional upper age bound for calculations. |
The mean absolute difference in survival ratios.
lx1 and lx2 can be of different lengths and grouped differently. For example, either or both input vectors could be in single or five-year age groups for this function. Results are selected internally for 5-year age groups, and vector lengths are matched. ageMax is an inclusive upper bound, treated as interval. If you want the age-group 70-74 to be included in calculations, then give ageMax = 70, not 75. The input vectors can also be of different lifetable radices. As with the original Fortran code, the open age group must be included in input vectors, even though it is not included in calcs. If your final age group is not open, then tack an extra element to it to simulate an open element, and just make sure to match ages.
Arriaga E, Anderson PD, Heligman L (1976). Computer programs for demographic analysis. U.S. Dept. of Commerce, Bureau of the Census, International Statistical Programs Center.
lx1 <-c(1, 0.94265, 0.93344, 0.92708, 0.923, 0.92023, 0.91796, 0.91601, 0.91431, 0.9128, 0.91145, 0.91025, 0.90914, 0.90805, 0.90692, 0.90566, 0.90419, 0.90251, 0.90063, 0.89858, 0.89642, 0.89417, 0.8918, 0.88923, 0.88647, 0.88356, 0.88046, 0.87721, 0.87386, 0.87047, 0.86706, 0.8636, 0.86008, 0.85649, 0.85276, 0.84882, 0.84465, 0.84027, 0.8357, 0.83102, 0.8264, 0.82193, 0.8175, 0.81296, 0.80827, 0.80343, 0.79845, 0.79329, 0.78788, 0.78218, 0.77617, 0.76982, 0.76309, 0.75596, 0.74837, 0.74029, 0.73182, 0.72307, 0.71396, 0.70434, 0.69402, 0.68295, 0.67102, 0.6581, 0.64442, 0.63012, 0.61486, 0.59811, 0.57943, 0.55896, 0.53739, 0.51528, 0.49248, 0.46826, 0.44272, 0.41631, 0.38876, 0.36037, 0.33157, 0.30217, 0.27334, 0.24599, 0.21948, 0.19412, 0.17029, 0.14826, 0.12771, 0.10909, 0.09241, 0.07763, 0.0647, 0.05363, 0.04403, 0.03578, 0.02877, 0.02289, 0.018, 0.01399, 0.01075, 0.00815, 0.0061, 0.00451, 0.00329, 0.00236, 0.00168, 0.00117, 0.00081, 0.00055, 0.00036, 0.00024, 0.00015) lx2 <- c(1, 0.99361, 0.99315, 0.99284, 0.99264, 0.99246, 0.9923, 0.99216, 0.99201, 0.99189, 0.99176, 0.99164, 0.99149, 0.99135, 0.99118, 0.99096, 0.99069, 0.99033, 0.98993, 0.98946, 0.98902, 0.98857, 0.98809, 0.98763, 0.98717, 0.98672, 0.98623, 0.98574, 0.98521, 0.98468, 0.9841, 0.98351, 0.98285, 0.98213, 0.98134, 0.9805, 0.97959, 0.9786, 0.97748, 0.97628, 0.97495, 0.97353, 0.97197, 0.97032, 0.96847, 0.96655, 0.96443, 0.96225, 0.95984, 0.95724, 0.95446, 0.95142, 0.94822, 0.94469, 0.94058, 0.93651, 0.93187, 0.92678, 0.92112, 0.91508, 0.90846, 0.90128, 0.89336, 0.88466, 0.87543, 0.86532, 0.85442, 0.84265, 0.82993, 0.81641, 0.80212, 0.78656, 0.77024, 0.75237, 0.73333, 0.71304, 0.69102, 0.66797, 0.64371, 0.61749, 0.58998, 0.55953, 0.52836, 0.49505, 0.46051, 0.42472, 0.38756, 0.34995, 0.31203, 0.27485, 0.23825, 0.20292, 0.16979, 0.13867, 0.11131, 0.08713, 0.06679, 0.04989, 0.03626, 0.02561, 0.01755, 0.01165, 0.00749, 0.00466, 0.00281, 0.00163, 0.00092, 5e-04, 0.00026, 0.00013, 7e-05) ADM(lx1,lx2, 0:110)#> [1] 0.05444613ADM(lx1,lx2,0:110,ageMax = 80)#> [1] 0.04158769