The Statistical Analysis Of Compositional Data
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The Statistical Analysis Of Compositional Data
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Author : John Aitchison
language : en
Publisher:
Release Date : 2003
The Statistical Analysis Of Compositional Data written by John Aitchison and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Originally published in 1986, this text contains a new Foreword, extensive postscript detailing developments in the field since its first publication, and a selection of more recent literature references. The work provides a clear and systematic account of statistical methods designed to meet the special needs of the compositional data analyst. (Mathematics)
Compositional Data Analysis
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Author : Vera Pawlowsky-Glahn
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-19
Compositional Data Analysis written by Vera Pawlowsky-Glahn and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-19 with Mathematics categories.
It is difficult to imagine that the statistical analysis of compositional data 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 compositional data, 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 compositional data analysis along with Aitchison's log-ratio approach. Compositional Data Analysis 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 compositional data analysis. Gives an overview of the historical development of compositional data analysis, 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 compositional data analysis. Supported by an accompanying website featuring R code. Applied scientists working on compositional data analysis 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 compositional data.
Modeling And Analysis Of Compositional Data
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Author : Vera Pawlowsky-Glahn
language : en
Publisher: John Wiley & Sons
Release Date : 2015-02-17
Modeling And Analysis Of Compositional Data written by Vera Pawlowsky-Glahn and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-17 with Mathematics categories.
Modeling and Analysis of Compositional Data presents a practical and comprehensive introduction to the analysis of compositional data along with numerous examples to illustrate both theory and application of each method. Based upon short courses delivered by the authors, it provides a complete and current compendium of fundamental to advanced methodologies along with exercises at the end of each chapter to improve understanding, as well as data and a solutions manual which is available on an accompanying website. Complementing Pawlowsky-Glahn’s earlier collective text that provides an overview of the state-of-the-art in this field, Modeling and Analysis of Compositional Data fills a gap in the literature for a much-needed manual for teaching, self learning or consulting.
The Statistical Analysis Of Compositional Data
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Author : Shir-ming Shen
language : en
Publisher:
Release Date : 1983
The Statistical Analysis Of Compositional Data written by Shir-ming Shen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Distribution (Probability theory) categories.
Compositional Data Analysis In The Geosciences
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Author : Antonella Buccianti
language : en
Publisher: Geological Society of London
Release Date : 2006
Compositional Data Analysis In The Geosciences written by Antonella Buccianti and has been published by Geological Society of London this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Since Karl Pearson wrote his paper on spurious correlation in 1897, a lot has been said about the statistical analysis of compositional data, mainly by geologists such as Felix Chayes. The solution appeared in the 1980s, when John Aitchison proposed to use Iogratios. Since then, the approach has seen a great expansion, mainly building on the idea of the `natural geometry' of the sample space. Statistics is expected to give sense to our perception of the natural scale of the data, and this is made possible for compositional data using Iogratios. This publication will be a milestone in this process.
The Statistical Analysis Of Compositional Data
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Author :
language : en
Publisher:
Release Date : 1984
The Statistical Analysis Of Compositional Data written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Geostatistical Analysis Of Compositional Data
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Author : Vera Pawlowsky-Glahn
language : en
Publisher: Oxford University Press
Release Date : 2004-06-03
Geostatistical Analysis Of Compositional Data written by Vera Pawlowsky-Glahn and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-03 with Science categories.
1. Introduction. 2. Regionalized Compositions. 3. Spatial Covariance Structure. 4. Concepts of Null Correlation. 5. Cokriging. 6. Practical Aspects of Compositional Data Analysis. 7. Application to Real Data. Summary and Prospects. References. Index
Advances In Compositional Data Analysis
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Author : Peter Filzmoser
language : en
Publisher: Springer Nature
Release Date : 2021-06-01
Advances In Compositional Data Analysis written by Peter Filzmoser and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-01 with Mathematics categories.
This book presents modern methods and real-world applications of compositional data analysis. It covers a wide variety of topics, ranging from an updated presentation of basic concepts and ideas in compositional data analysis to recent advances in the context of complex data structures. Further, it illustrates real-world applications in numerous scientific disciplines and includes references to the latest software solutions available for compositional data analysis, thus providing a valuable and up-to-date guide for researchers and practitioners working with compositional data. Featuring selected contributions by leading experts in the field, the book is dedicated to Vera Pawlowsky-Glahn on the occasion of her 70th birthday.
The Statistical Analysis Of Compositional Data
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Author : J. Aitchison
language : en
Publisher: Springer
Release Date : 1986-08-21
The Statistical Analysis Of Compositional Data written by J. Aitchison and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-08-21 with Mathematics categories.
As long ago as 1897 Karl Pearson, in a now classic paper on spurious correlation, first pointed out dangers that may befall the analyst who attempts to interpret correlations between ratios whose numerators and denominators contain common parts. He thus implied that the analysis of compositional data, with its concentration on relation ships between proportions of some whole, is likely to be fraught with difficulty. History has proved him correct: over the succeeding years and indeed right up to the present day, there has been no other form of data analysis where more confusion has reigned and where more improper and inadequate statistical methods have been applied. The special and intrinsic feature of compositional data is that the proportions of a composition are naturally subject to a unit-sum constraint. For other forms of constrained data, in particular for directional data where there is a unit-length constraint on each direction vector, scientist and statistician alike have readily appre ciated that new statistical methods, appropriate to the special nature of the data, are required; and there now exists an extensive literature on the successful statistical analysis of directional data. It is paradox ical that for compositional data, subject to an apparently simpler constraint, such an appreciation and development have been slower to emerge. In applications the unit-sum constraint has been widely ignored or wished away and inappropriate 'standard' statistical methods, devised for and successfully applied to unconstrained data, have been used with disastrous consequences.
Coda
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Author : John Aitchison
language : en
Publisher:
Release Date : 1986
Coda written by John Aitchison and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Correlation (Statistics) categories.
Microcomputer Package for the Statistical Analysis of Compositional Data