# Contribution Biplots

```@article{Greenacre2013ContributionB,
title={Contribution Biplots},
author={Michael J. Greenacre},
journal={Journal of Computational and Graphical Statistics},
year={2013},
volume={22},
pages={107 - 122}
}```
• M. Greenacre
• Published 1 January 2013
• Computer Science
• Journal of Computational and Graphical Statistics
To interpret the biplot, it is necessary to know which points—usually variables—are the ones that are important contributors to the solution, especially when there are many variables involved. This information can be calculated separately as part of the biplot's numerical results, but this means that a table has to be consulted along with the graphical display. We propose a new scaling of the display, called the contribution biplot, which incorporates this diagnostic information directly into…
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## References

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This book explains the specific application and interpretation of the biplot in many different areas of multivariate analysis, notably regression, generalized linear modelling, principal component analysis, log-ratio analysis, various forms of correspondence analysis and discriminant analysis.
It is pointed out that joint correspondence analysis leads to a joint display of several variables which can be calibrated in a similar fashion to recover profile elements of the subtables of the Burt matrix.
The present paper examines proportional goodness of fit to variables recorded on individuals, the variances and covariances of the variables, and the form and distances between individuals. No single
Abstract The biplot is a graphical display of a two-dimensional approximation to a matrix. Its usefulness in the display and analysis of matrices of meteorological data is demonstrated by a detailed
SUMMARY Any matrix of rank two can be displayed as a biplot which consists of a vector for each row and a vector for each column, chosen so that any element of the matrix is exactly the inner product
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Summary. The singular value decomposition and its interpretation as a linear biplot have proved to be a powerful tool for analysing many forms of multivariate data. Here we adapt biplot methodology
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The weighted log-ratio methodology is used here to visualize frequency data in linguistics and chemical compositional data in archeology and is theoretically equivalent to “spectral mapping”, a multivariate method developed almost 30 years ago for displaying ratio-scale data from biological activity spectra.
• Computer Science
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The biplot is a graphical display of multivariate data that allows for inspection of data preliminary to formal analysis, and can follow an analysis by the graphical inspection of residuals.