Compositional Data Analysis in Practice

Compositional Data Analysis in Practice

Science & Math / Business & Money
ISBN: 1138316431 Format: PDF Edition: 1 edition Date: August 3, 2018 Pages: 136 pages Language: English

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Book Description

Compositional Data Analysis in Practice is a user-oriented practical guide to the analysis of data with the property of a constant sum, for example percentages adding up to 100%. Compositional data can give misleading results if regular statistical methods are applied, and are best analysed by first transforming them to logarithms of ratios. This book explains how this transformation affects the analysis, results and interpretation of this very special type of data. All aspects of compositional data analysis are considered: visualization, modelling, dimension-reduction, clustering and variable selection, with many examples in the fields of food science, archaeology, sociology and biochemistry, and a final chapter containing a complete case study using fatty acid compositions in ecology. The applicability of these methods extends to other fields such as linguistics, geochemistry, marketing, economics and finance.


Chapter 1. What are compositional data, and why are they special?
Chapter 2. Geometry and visualization of compositional data
Chapter 3. Logratio transformations
Chapter 4. Properties and distributions of logratios
Chapter 5. Regression models involving compositional data
Chapter 6. Dimension reduction using logratio analysis
Chapter 7. Clustering of compositional data
Chapter 8. Problem of zeros, with some solutions
Chapter 9. Simplifying the task: variable selection
Chapter 10. Case study: Fatty acids of marine amphipods

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Compositional Data Analysis in Practice
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