Analysis of Ratios in Multivariate Morphometry

Analysis of Ratios in Multivariate Morphometry

August 9, 2011 | Hannes Baur and Christoph Leuenberger
The paper presents a method called the "LDA ratio extractor" and a graphical tool called the "PCA ratio spectrum" for interpreting multivariate morphometric data in terms of body proportions. The LDA ratio extractor identifies the most informative ratios for distinguishing between groups, while the PCA ratio spectrum helps interpret principal components in terms of ratios. The methods are based on standardized and log-transformed data, allowing for the separation of size and shape effects. The paper also introduces the "allometry ratio spectrum" to assess allometric behavior in ratios. These tools are applied to datasets from parasitic wasps and rock crabs, demonstrating their effectiveness in taxonomic analysis and allometric studies. The methodology provides a consistent framework for interpreting multivariate morphometric results in terms of body proportions, enhancing the interpretability of both taxonomic descriptions and phylogenetic analyses.The paper presents a method called the "LDA ratio extractor" and a graphical tool called the "PCA ratio spectrum" for interpreting multivariate morphometric data in terms of body proportions. The LDA ratio extractor identifies the most informative ratios for distinguishing between groups, while the PCA ratio spectrum helps interpret principal components in terms of ratios. The methods are based on standardized and log-transformed data, allowing for the separation of size and shape effects. The paper also introduces the "allometry ratio spectrum" to assess allometric behavior in ratios. These tools are applied to datasets from parasitic wasps and rock crabs, demonstrating their effectiveness in taxonomic analysis and allometric studies. The methodology provides a consistent framework for interpreting multivariate morphometric results in terms of body proportions, enhancing the interpretability of both taxonomic descriptions and phylogenetic analyses.
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