Learn R Programming

Compositional (version 5.5)

The Helmert sub-matrix: The Helmert sub-matrix

Description

The Helmert sub-matrix.

Usage

helm(n)

Arguments

n

A number grater than or equal to 2.

Value

A \((n-1) \times n\) matrix.

Details

The Helmert sub-matrix is returned. It is an orthogonal matrix without the first row.

References

Tsagris M.T., Preston S. and Wood A.T.A. (2011). A data-based power transformation for compositional data. In Proceedings of the 4th Compositional Data Analysis Workshop, Girona, Spain. https://arxiv.org/pdf/1106.1451.pdf

John Aitchison (2003). The Statistical Analysis of Compositional Data p. 99 Blackburn Press.

Lancaster H. O. (1965). The Helmert matrices. The American Mathematical Monthly 72(1): 4-12.

See Also

alfa, alfainv

Examples

Run this code
# NOT RUN {
helm(3)
helm(5)
# }

Run the code above in your browser using DataLab