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.

Review

"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

"About this title" may belong to another edition of this title.

Store Description

Better World Books (https://www.BetterWorldBooks.com) is a for-profit, socially conscious business and a global online bookseller that collects and sells new and used books online, matching each purchase with a book donation. Each sale generates funds for literacy and education initiatives in the U.S., the UK, and around the world. Since its launch in 2003, Better World Books has raised $33 million for libraries and literacy, donated over 32 million books, and reused or recycled more than 397 million books.

Visit Seller's Storefront

Seller's business information

Better World Books Marketplace, Inc.
55740 Currant Road, Mishawaka, IN, 46545, U.S.A.

Sale & Shipping Terms

Terms of Sale

Better World Books (BWB) values your satisfaction and offers you returns within thirty (30) days after the estimated delivery date on most items. All returned items must be in the original condition; used items should include the SKU sticker located on the spine or back of the product.

If you have an incomplete, incorrect, or damaged shipment, please contact our Customer Care team via Abebooks contact seller options before proceeding with the return.Please keep in mind that because we deal mostl...

More Information

Shipping Terms

Please allow 1-2 business days for order fulfillment.

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	4 to 8 business days	3 to 5 business days
First item	US$ 0.00	US$ 10.00

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.