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Examples

  • Looking at clusters in the biplot graphic, it was assumed that the first axis was best explained by the factor cotton variety (56\%) and the second axis by the factor

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  • The symmetric map is, strictly speaking, not a biplot (see, for example, Greenacre (1993)), but Gabriel (2002) shows that the scalar - product approximations are not substantially degraded in most cases.

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  • Notice that because of the weighting, the origin of the biplot is at the centroid of the elements, where the elements are weighted by their respective average percentages.

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  • When the data are in the usual row by column format of cases (or samples) by variables, Aitchison and Greenacre (2002) call the RMP biplot a form biplot and the CMP biplot a covariance biplot.

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  • Figure 2: Weighted logratio biplot of Baxter data, showing rows in principal coordinates (form biplot).

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  • Aitchison and Greenacre (2002) defined a biplot based on the logarithms of ratios, or logratios, which has many interesting properties and links to the modelling of two-way tables.

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  • As we will show, however, this biplot can be perturbed by low-value components.

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  • Distribution of sugar composition shown in (A) the ordination biplot of a Principal Component Analysis (PCA) (eigenvalues: axis 1: 0.560, axis 2: 0.193) and (B) a Redundancy Analysis (RDA) (eigenvalues: axis 1: 0.249, axis 2: 0.066).

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