spencer: Smoothing of an age structure by single years using Spencer's...

In timriffe/DemoTools: Standardize, Evaluate, and Adjust Demographic Data

Smoothing of an age structure by single years using Spencer's formula.

Description

Spencer's method is used to adjust distributions by year of age based on cumulative series.

Usage

spencer(Value, Age)

Arguments

Value	numeric. A vector of demographic counts in single age groups.
Age	numeric or character. A vector with ages in single years.

Details

Single year age groups are assumed.

Value

A named vector with the smoothed age structure.

References

\insertRef

GDA1981IREDADemoTools Roger et al (1981, pp. 373-377).

Examples

# data from GDA1981IREDA, Table 15 and 16, page 375-376: Ghana (1970 Males + Females),
# population between 10 and 40 years by single age.
Pop  <-c(286487,282182,319718,345610,329133,324683,330555,269536,271593,253798,
         242297,165755,233159,185812,175647,187138,160864,128099,178568,123386,
         194999,113372,139088,106190,127482,178375,123286,95637,151514,82614,
         239243,74788,112354,61746,72366,144828,92563,53924,94635,52351,178832)
Age  <-c(0:40)
sp_smoothed <- spencer(Value    =Pop,Age=Age)
 ## Not run: 
plot(Age,Pop, col               = "red", xlab = "Age", ylab = "Population",type ='l')
lines(Age,spencer(Pop,Age), col = "blue")
legend("topright",
lty                             =1,
col                             = c("red","blue"),
legend                          =  c("Original","Spencer"))

## End(Not run)
# on the fly unit test:
Tab16answer <- c(rep(NA,10),233847,216876,201938,189873,179734,171529,164280,158214,
 152477,147735,143099,139301,135930,133889,132458,132495,
 132660,132894,131463,128560,123150,116725,109180,102386,
 96394,92586,89962,88681,86812,84209,79819)
stopifnot(all(na.omit(abs(sp_smoothed - Tab16answer) < 0.5)))

timriffe/DemoTools documentation built on Jan. 28, 2024, 5:13 a.m.