bray_curtis: Bray-Curtis distance

Description Usage Arguments Details Value Examples

Description

The Bray-Curtis distance is the Manhattan distance divided by the sum of both vectors.

Usage

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Arguments

x, y

Numeric vectors

Details

For two vectors x and y, the Bray-Curtis distance is defined as

d(x, y) = \frac{∑_i |x_i - y_i|}{∑_i x_i + y_i}.

The Bray-Curtis distance is connected to many other distance measures in this package; we try to list some of the more important connections here. Relation to other definitions:

Value

The Bray-Curtis distance between x and y. The Bray-Curtis distance is undefined if the sum of all elements in x and y is zero, in which case we return NaN.

Examples

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x <- c(15, 6, 4, 0, 3, 0)
y <- c(10, 2, 0, 1, 1, 0)
bray_curtis(x, y)

# For proportions, equal to half the Manhattan distance
bray_curtis(x / sum(x), y / sum(y))
manhattan(x / sum(x), y / sum(y)) / 2

kylebittinger/abdiv documentation built on Jan. 19, 2020, 3:48 a.m.