helm: The Helmert sub-matrix
In Compositional: Compositional Data Analysis
The Helmert sub-matrix R Documentation
The Helmert sub-matrix
Description
The Helmert sub-matrix.
Usage
helm(n)
Arguments
n
A number grater than or equal to 2.
Details
The Helmert sub-matrix is returned. It is an orthogonal matrix without the first row.
Value
A (n-1) \times n matrix.
Author(s)
Michail Tsagris.
R implementation and documentation: Michail Tsagris mtsagris@uoc.gr
and Giorgos Athineou <gioathineou@gmail.com>.
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
helm(3)
helm(5)
Compositional documentation built on Oct. 9, 2024, 5:10 p.m.
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| The Helmert sub-matrix | R Documentation |
The Helmert sub-matrix
Description
The Helmert sub-matrix.
Usage
helm(n)
Arguments
n |
A number grater than or equal to 2. |
Details
The Helmert sub-matrix is returned. It is an orthogonal matrix without the first row.
Value
A (n-1) \times n matrix.
Author(s)
Michail Tsagris.
R implementation and documentation: Michail Tsagris mtsagris@uoc.gr and Giorgos Athineou <gioathineou@gmail.com>.
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
helm(3)
helm(5)
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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