| dbhatta {ICGE} | R Documentation |
Bhattacharyya Distance
Description
dbhatta computes and returns the Bhattacharyya distance matrix between the rows of a data matrix. This distance is defined between two units i=(p_{i1},...,p_{im}) and j=(p_{j1},...,p_{jm}) being p_{kl} frequencies with p_{kl}>=0 and p_{k1}+...+p_{km}=1.
Usage
dbhatta(x)
Arguments
x |
a matrix containing, in its rows, the frequencies for each unit. Note: check that each row adds up to 1 |
Value
A dist object with distance information.
Author(s)
Itziar Irigoien itziar.irigoien@ehu.eus; Konputazio Zientziak eta Adimen Artifiziala, Euskal Herriko Unibertsitatea (UPV-EHU), Donostia, Spain.
Conchita Arenas carenas@ub.edu; Departament d'Estadistica, Universitat de Barcelona, Barcelona, Spain.
References
Bhattacharyya, A. (1946). On a measure of divergence of two multinomial populations. Sankhya: The Indian Journal of Statistics, Series A. 14, 177-136.
See Also
dist, dmahal,
dgower, dcor, dproc2
Examples
#5 individuals represented by their relative frequencies of 4 characteristics (M1-M4):
f <- matrix(c(0.36, 0.21, 0.23, 0.20,
0.66, 0.18, 0.11, 0.05,
0.01, 0.24, 0.62, 0.13,
0.43, 0.38, 0.08, 0.11,
0.16, 0.07, 0.09, 0.68),
byrow=TRUE, nrow=5, dimnames=list(1:5, paste("M", 1:4, sep="")))
# Bhattacharyya distances between pairs
d <- dbhatta(f)