The Helmert sub-matrix
The Helmert sub-matrix.
helm(n)
n |
A number grater than or equal to 2. |
The Helmert sub-matrix is returned. It is an orthogonal matrix without the first row.
A (n-1) \times n matrix.
Michail Tsagris
R implementation and documentation: Michail Tsagris mtsagris@uoc.gr and Giorgos Athineou <gioathineou@gmail.com>.
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.
helm(3) helm(5)
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