Anthropometry (version 1.2)

nearestToArchetypes: Nearest individuals to archetypes

Description

The nearest individual to each archetype can be obtained by simply computing the distance between the archetypes and the individuals and choosing the nearest. This is the procedure to obtain what is called the cand_ns vector, see Vinue et al. (2015). It is used within archetypoids and stepArchetypoids.

Usage

nearestToArchetypes(indivs,numArch,mdras)

Arguments

indivs

Vector from 1 to numArch of individuals nearest to archetypes.

numArch

Number of archetypes computed.

mdras

Distance matrix between the archetypes and the individuals.

Value

• A vector with the nearest individuals to archetypes.

References

Vinue, G., Epifanio, I., and Alemany, S., (2015). Archetypoids: a new approach to define representative archetypal data, Computational Statistics and Data Analysis 87, 102--115.

Epifanio, I., Vinue, G., and Alemany, S., (2013). Archetypal analysis: contributions for estimating boundary cases in multivariate accommodation problem, Computers & Industrial Engineering 64, 757--765.

See Also

archetypoids, stepArchetypoids, archetypesBoundary

Examples

#First,the USAF 1967 database is read and preprocessed (Zehner et al. (1993)).
#Variable selection:
variabl_sel <- c(48, 40, 39, 33, 34, 36)
#Changing to inches: 
USAFSurvey_inch <- USAFSurvey[,variabl_sel] / (10 * 2.54)

#Data preprocessing:
USAFSurvey_preproc <- preprocessing(USAFSurvey_inch, TRUE, 0.95, TRUE)

#Procedure and results shown in section 2.2.2 and section 3.1 of Epifanio et al. (2013):
res <- archetypesBoundary(USAFSurvey_preproc$data,15,FALSE,3)

numArch <- 3
a3 <- archetypes::bestModel(res[[numArch]])
ras <- rbind(archetypes::parameters(a3),USAFSurvey_preproc$data)
dras <- dist(ras,method="euclidean",diag=F,upper=T,p=2)
mdras <- as.matrix(dras)
diag(mdras) <- 1e+11
sapply(seq(length=numArch),nearestToArchetypes,numArch,mdras)