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Inverse Log-Ratio Transformation

Source: R/AllGenerics.R, R/transform.R
transform_inverse.Rd

Computes inverse log-ratio transformations.

Usage

transform_inverse(object, origin, ...)

# S4 method for CLR,missing
transform_inverse(object)

# S4 method for ALR,missing
transform_inverse(object)

# S4 method for ILR,missing
transform_inverse(object)

# S4 method for matrix,ILR
transform_inverse(object, origin)

Arguments

object

A LogRatio object.

origin

A LogRatio object to be used for the inverse transformation.

...

Currently not used.

Value

A CompositionMatrix object.

References

Aitchison, J. (1986). The Statistical Analysis of Compositional Data. London: Chapman and Hall.

Egozcue, J. J., Pawlowsky-Glahn, V., Mateu-Figueras, G. & Barceló-Vidal, C. (2003). Isometric Logratio Transformations for Compositional Data Analysis. Mathematical Geology, 35(3), 279-300. doi:10.1023/A:1023818214614 .

Fišerová, E. & Hron, K. (2011). On the Interpretation of Orthonormal Coordinates for Compositional Data. Mathematical Geosciences, 43(4), 455‑468. doi:10.1007/s11004-011-9333-x .

Greenacre, M. J. (2019). Compositional Data Analysis in Practice. Boca Raton: CRC Press.

See also

Other log-ratio transformations: transform_alr(), transform_clr(), transform_ilr(), transform_lr(), transform_plr()

Author

N. Frerebeau

Examples

## Data from Aitchison 1986
data("hongite")

## Coerce to compositional data
coda <- as_composition(hongite)

## Pairwise log-ratio
lr <- transform_lr(coda)

## Centered log-ratio
clr <- transform_clr(coda)

## Additive log-ratio
alr <- transform_alr(coda)

## Isometric log-ratio
ilr <- transform_ilr(coda)
plr <- transform_plr(coda)

## Inverse transformation
inv_clr <- transform_inverse(clr)
all.equal(coda, inv_clr)
#> [1] TRUE

inv_alr <- transform_inverse(alr)
all.equal(coda, inv_alr)
#> [1] TRUE

inv_ilr <- transform_inverse(ilr)
all.equal(coda, inv_ilr)
#> [1] TRUE

inv_plr <- transform_inverse(plr)
all.equal(coda, inv_plr)
#> [1] TRUE