Composition(partscomps)
Composition(parts, comps)
Composition(part₁=comp₁, part₂=part₂, ...)
Composition(comps)
Composition(comp₁, comp₂, ...)

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 part1, part2, ..., partD:

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

getproperty(c, part)

Return the value of part 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.

components(c)

Components in the composition c.

compose(table, (:c1, c2, ..., :cn) [=> :coda])

Convert columns :c1, :c2, ..., :cn of table into parts of a composition and save it as a new column with name :coda.

Example

# create a new table with `:coda` column
compose(table, (:Cd, :Cu, :Pb))

# create a new table with `:comp` column
compose(table, (:Cd, :Cu, :Pb) => :comp)

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.

parts(c)

Parts in the composition c.

readcoda(args...; codanames=nothing, kwargs...)

Read data from disk using CSV.read, optionally specifying the columns codanames with the parts of the composition. If nothing is specified, interpret all columns as parts.

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

The option codanames can also be a pair as described in the documentation of compose.

𝓒(x)

Return closure of x.

dot(c₁, c₂)

Inner product between compositions c₁ and c₂.

norm(c)

Aitchison norm of composition c.