It is difficult to imagine that the statistical analysis of compositionaldata has been a major issue of concern for more than 100 years. It is even more difficult to realize that so many statisticians and users of st...
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ISBN:
(数字)9781119976479
ISBN:
(纸本)9780470711354
It is difficult to imagine that the statistical analysis of compositionaldata has been a major issue of concern for more than 100 years. It is even more difficult to realize that so many statisticians and users of statistics are unaware of the particular problems affecting compositionaldata, as well as their solutions. The issue of ``spurious correlation'', as the situation was phrased by Karl Pearson back in 1897, affects all data that measures parts of some whole, such as percentages, proportions, ppm and ppb. Such measurements are present in all fields of science, ranging from geology, biology, environmental sciences, forensic sciences, medicine and hydrology. This book presents the history and development of compositionaldataanalysis along with Aitchison's log-ratio approach. compositionaldataanalysis describes the state of the art both in theoretical fields as well as applications in the different fields of science. Key Features: Reflects the state-of-the-art in compositionaldataanalysis. Gives an overview of the historical development of compositionaldataanalysis, as well as basic concepts and procedures. Looks at advances in algebra and calculus on the simplex. Presents applications in different fields of science, including, genomics, ecology, biology, geochemistry, planetology, chemistry and economics. Explores connections to correspondence analysis and the Dirichlet distribution. Presents a summary of three available software packages for compositionaldataanalysis. Supported by an accompanying website featuring R code. Applied scientists working on compositionaldataanalysis in any field of science, both in academia and professionals will benefit from this book, along with graduate students in any field of science working with compositionaldata.
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