| Title: | Calculate Beers Ordinary Interpolation |
|---|---|
| Description: | Calculate Beers Interpolation (both Ordinary and Modified method); a six-term formula which minimizes the fifth differences of the interpolated results. See p877 of The Methods and Materials of Demography, Volume 2, referring to Beers, The Record of the American Institute of Actuaries, 34, Part I (69):59-60, June 1945. |
| Authors: | Wes Hinsley [aut, cre] |
| Maintainer: | Wes Hinsley <[email protected]> |
| License: | MIT + file LICENSE |
| Version: | 0.1.0 |
| Built: | 2024-09-20 01:59:58 UTC |
| Source: | https://github.com/mrc-ide/beers |
beers: A package for computing Beers ordinary and modified interpolation
Create 4 interpolated points between each pair of given values. With the ordinary method, the given data points given will be included unchanged in the interpolated list. With the modified method, some smoothing occurs, and only the first and last points given are guaranteed to appear unchanged in the interpolated list.
beers_int_ordinary(points) beers_int_modified(points)beers_int_ordinary(points) beers_int_modified(points)
points |
A list of at least 6 numbers, eg, populations over time. |
A list with four extra interpolated points between each pair of given points.
# Interpolate population of UK (1950, 1955, 1960, 1965, 1970, 1975) to yearly points beers_int_ordinary(c(50616014, 51123707, 52433157, 54303107, 55634935, 56211947)) beers_int_modified(c(50616014, 51123707, 52433157, 54303107, 55634935, 56211947))# Interpolate population of UK (1950, 1955, 1960, 1965, 1970, 1975) to yearly points beers_int_ordinary(c(50616014, 51123707, 52433157, 54303107, 55634935, 56211947)) beers_int_modified(c(50616014, 51123707, 52433157, 54303107, 55634935, 56211947))
With the ordinary method, each set of 5 subdivided values will always sum to the original data point given. With the modified method, some smoothing occurs, and this property is only true for the first and last given data point.
beers_sub_ordinary(points) beers_sub_modified(points)beers_sub_ordinary(points) beers_sub_modified(points)
points |
A list of at least 5 numbers, eg, populations by 5-year age-band. |
For subdivision: a list 5 times as long as the original, with each point subdivided into 5.
# Subdivide population of UK (2015), ages 0-4, 5-9, 10-14, 15-19, 20-24 into single years. beers_sub_ordinary(c(4042918, 3927745, 3529200, 3779712, 4174572)) beers_sub_modified(c(4042918, 3927745, 3529200, 3779712, 4174572))# Subdivide population of UK (2015), ages 0-4, 5-9, 10-14, 15-19, 20-24 into single years. beers_sub_ordinary(c(4042918, 3927745, 3529200, 3779712, 4174572)) beers_sub_modified(c(4042918, 3927745, 3529200, 3779712, 4174572))