# 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

1 | ```
nearestToArchetypes(indivs,numArch,mdras)
``` |

### Arguments

`indivs` |
Vector from 1 to |

`numArch` |
Number of archetypes computed. |

`mdras` |
Distance matrix between the archetypes and the individuals. |

### Value

A vector with the nearest individuals to archetypes.

### Author(s)

Irene Epifanio

### 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

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 | ```
#COCKPIT DESIGN PROBLEM:
#As a toy example, only the first 25 individuals are used.
USAFSurvey_First25 <- USAFSurvey[1:25, ]
#Variable selection:
variabl_sel <- c(48, 40, 39, 33, 34, 36)
#Changing to inches:
USAFSurvey_First25_inch <- USAFSurvey_First25[,variabl_sel] / (10 * 2.54)
#Data preprocessing:
USAFSurvey_preproc <- preprocessing(USAFSurvey_First25_inch, TRUE, 0.95, TRUE)
res <- archetypesBoundary(USAFSurvey_preproc$data, 5, FALSE, 3)
#To understand the warning messages, see the vignette of the
#archetypes package.
numArch <- 3
a3 <- archetypes::bestModel(res[[numArch]])
ras <- rbind(archetypes::parameters(a3), USAFSurvey_preproc$data)
dras <- dist(ras, method = "euclidean", diag = FALSE, upper = TRUE, p = 2)
mdras <- as.matrix(dras)
diag(mdras) <- 1e+11
sapply(seq(length=numArch), nearestToArchetypes, numArch, mdras)
``` |