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Titlebook: Applied Compositional Data Analysis; With Worked Examples Peter Filzmoser,Karel Hron,Matthias Templ Book 2018 Springer Nature Switzerland A

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Ali Jaboob,Omar Durrah,Aziza Chakirly the special case of 2 × 2 compositional tables is discussed, being dominant in practical applications. It turns out that for a coordinate representation of compositional tables the sequential binary partitioning is in general not appropriate as it does not respect the two-factor nature of composi
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Imane Elimadi,Nadia Chafiq,Mohamed Ghazouanins consisting of counts. For the imputation of missing values, rounded and count zeros, model-based algorithms have been developed and are available in .. In contrast, structural zeros are a result of a structural process, and thus imputing them to obtain a full data set is not meaningful. There are
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Book 2018s like geochemistry, chemometrics, biology and natural sciences, economics, and social sciences, all the proposed methods are accompanied by worked-out examples in R using the package robCompositions.
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Exploratory Data Analysis and Visualization,e displayed with the traditional ternary diagram. One just needs to be aware that the data to be visualized are driven by the Aitchison geometry, and thus there is the danger of misleading conclusions from this graphical tool. The overall preferred option is to display compositional data in any inte
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First Steps for a Statistical Analysis, is recommendable to apply robust counterparts to classical methods in practice. Either univariate or multivariate robust statistical processing can be performed, based on such logratio coordinate representation that serves the purpose of the analysis. Even the classical estimators of location and s
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Cluster Analysis, robustly estimated, is taken. For clustering observations (compositions), no particular methodological peculiarities occur; basically, any orthonormal logratio coordinates serve well for this purpose. In this chapter, some of the most popular methods are described in more detail: hierarchical clust
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Correlation Analysis,within the given composition are recommendable. Correlation analysis between two coordinates can also be extended to correlations between one coordinate and a set of coordinates, or to group correlations summarizing the relationships between balance representations of groups of compositional parts.
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