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Biplot and Singular Value Decomposition Macros for Excel©

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  • Lipkovich, Ilya A.
  • Smith, Eric P.

Abstract

The biplot display is a graph of row and column markers obtained from data that forms a twoway table. The markers are calculated from the singular value decomposition of the data matrix. The biplot display may be used with many multivariate methods to display relationships between variables and objects. It is commonly used in ecological applications to plot relationships between species and sites. This paper describes a set of Excel© macros that may be used to draw a biplot display based on results from principal components analysis, correspondence analysis, canonical discriminant analysis, metric multidimensional scaling, redundancy analysis, canonical correlation analysis or canonical correspondence analysis. The macros allow for a variety of transformations of the data prior to the singular value decomposition and scaling of the markers following the decomposition.

Suggested Citation

  • Lipkovich, Ilya A. & Smith, Eric P., 2002. "Biplot and Singular Value Decomposition Macros for Excel©," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 7(i05).
    • Handle: RePEc:jss:jstsof:v:007:i05
    DOI: http://hdl.handle.net/10.18637/jss.v007.i05
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    Cited by:

    1. Krajňák, Michal & Krzikallová, Kateřina & Friedrich, Václav, 2022. "Does political orientation affect economic indicators in the Czech Republic?," Journal of Policy Modeling, Elsevier, vol. 44(6), pages 1219-1231.
    2. Udina, Frederic, 2005. "Interactive Biplot Construction," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 13(i05).
    3. T. El Sayed & A. R. Zahran, 2018. "Multidimensional Almost Dominance: Child Wellbeing in Egypt," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 136(1), pages 283-304, February.
    4. Martin Cihak, 2004. "Designing Stress Tests for the Czech Banking System," Research and Policy Notes 2004/03, Czech National Bank.

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