makeReferenceVector: Make a reference vector
In p2distance: Welfare's Synthetic Indicator

Description Usage Arguments Details Value Author(s) References Examples

Make a reference vector.

1	makeReferenceVector(X, reference_vector_function = min)

`X`	Array with n rows (entities) and m columns (values of variables)
`reference_vector_function`	Function to make the reference vector. Common functions used are: min, max, mean, median, etc. See `apply` for further details. Minimum es the default function

A reference vector must be defined for each partial indicator so as to compare different spatial entities. This vector is used by p2distance function (as base reference) to calculate distances of each spatial entities with this reference base. It is quite commom to consider the minimum value as the base reference (see references).

Vector with the reference value (base reference) of each variable. The vector length equals to number of variables

A.J. Perez-Luque; R. Moreno; R. Perez-Perez and F.J. Bonet

Pena, J. B. (1977). Problemas de la medición del bienestar y conceptos afines (una aplicación al caso Español). Madrid: INE.

Pena, J. B. (2009). La medición del bienestar social: una revisión crítica. Estudios de Economía Aplicada, 27(2), 299–324.

Somarriba, N. (2008). Aproximación a la medición de la calidad de vida en la Unión Europea. Doctoral Thesis. University of Valladolid. http://www.eumed.net/tesis/2010/mnsa/index.htm

Zarzosa, P. (1992). Aproximación a la medición del bienestar social, estudio de la idoneidad del indicador sintético Distancia P2. Doctoral Thesis. University of Valladolid.

## Create a data frame of 3 variables (indicators) for 6 entities (rows)
dat <- data.frame( 
  		x1=c(10,12,13,14,12,11),
			x2=c(40,51,61,68,34,44),
			x3=c(0.43, 0.41, 0.39, 0.55, 0.60, 0.38))

## Calculate the reference vector (base reference) using minimun value of each variable
makeReferenceVector(dat, reference_vector_function=min)