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The Statistical Analysis of Compositional Data Paperback – April 1, 2003

ISBN-13: 978-1930665781 ISBN-10: 1930665784

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The Statistical Analysis of Compositional Data + Compositional Data Analysis: Theory and Applications + Analyzing Compositional Data with R (Use R!)
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Product Details

  • Paperback: 416 pages
  • Publisher: The Blackburn Press (April 1, 2003)
  • Language: English
  • ISBN-10: 1930665784
  • ISBN-13: 978-1930665781
  • Product Dimensions: 8.5 x 1 x 5.5 inches
  • Shipping Weight: 1.4 pounds (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #378,644 in Books (See Top 100 in Books)

Editorial Reviews


"All along Aitchison motivates his mathematics by showing how it can answer the real questions of scientists. -- The Times Higher Education Supplement

"This splendid monograph develops sensible models for distributions on simplexes" -- Journal of the Royal Statistical Society.

The definitive work in its area and is likely to be the standard reference for decades to come" -- Mathematical Reviews

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6 of 7 people found the following review helpful By JVerkuilen on April 13, 2006
Format: Paperback Verified Purchase
My research involves compositional data in psychology in the scaling of preferences measured as continuous variables, e.g., proportions of time allocated to a task. I remember well the first time I encountered compositional data, dealing with some priority allocations on different policy preferences several years ago. I didn't realize the key issue at the time, namely the fact that a sum constraint on a multivariate data vector totally changes the sample space. For instance, it induces negative correlations in variables one would logically expect to be positively correlated. This can be very confusing until you realize what is going on. Doing something about it, however, is more complex. Aitcheson's book gives you the necessary tools to handle the problem. (Unfortunately software solutions are rarer and you will likely have to do some programming of your own.) This book is, as the editorial reviews indicate, the standard reference in the field. I highly recommend this book to anyone who has a decent background in mathematical statistics. You certainly need to have a solid understanding of linear algebra and transformations of multivariate distributions to make your way through it, but it is very clearly written, the math is lucid, and it has the added benefit of Aitcheson's dry British wit throughout (presuming you enjoy that sort of thing).
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2 of 3 people found the following review helpful By Eduardo Dávila on November 10, 2007
Format: Paperback Verified Purchase
The data in vectors of proportions are very usuals in Agricultural Research like Plant pathology an plant physiology; such data may be: nutrient concentration in leaf, proportion of fruits with some infection process, amount of foliar area with any microbial disease, etc.
Monography of Dr. Aitchison gives an appropriate methology for the statistical analysis of compositional data that are very usuals in plant research; Aitchison's book should be in personal libraries of all people that works in Agricultural research.
Eduardo Dávila Sanabria
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