Composition(symsparts)
Composition(syms, parts)
Composition(sym₁=val₁, sym₂=val₂, ...)
Composition(parts)
Composition(val₁, val₂, ...)

A D-part composition as defined by Aitchison 1986.

Examples

A 2-part composition with parts a=0.1 and b=0.8:

julia> Composition(a=0.2, b=0.8)
julia> Composition((a=0.2, b=0.8))
julia> Composition((:a, :b), (0.2, 0.8))

When the names of the parts are not specified, the constructor uses default names part-1, part-2, ..., part-D:

julia> Composition(0.1, 0.8)
julia> Composition((0.1, 0.8))

names(c)

Names of parts in the composition c.

alr(c)

Additive log-ratio transformation of composition c.

alrinv(x)

Inverse alr for coordinates x.

clr(c)

Centered log-ratio transformation of composition c.

clrinv(x)

Inverse clr for coordinates x.

compose(data, cols)

Convert columns cols of tabular data into parts of a composition.

distance(c₁, c₂)

Aitchison distance between compositions c₁ and c₂.

ilr(c)

Isometric log-ratio transformation of composition c.

ilrinv(x)

Inverse ilr for coordinates x.

readcoda(args...; codanames=[], kwargs...)

Read data from disk using CSV.read, optionally specifying the columns codanames with compositional data.

The arguments args and keyword arguments kwargs are forwarded to the CSV.read function, please check their documentation for more details.

This function returns a collection of Composition objects whose parts are the columns codanames in the file.

dot(c₁, c₂)

Inner product between compositions c₁ and c₂.

norm(c)

Aitchison norm of composition c.

𝓒(x)

Return closure of x.