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Compositional data analysis in epidemiology

Statistical Methods in Medical Research, 2016
Compositional data analysis refers to analyzing relative information, based on ratios between the variables in a data set. Data from epidemiology are usually treated as absolute information in an analysis. We outline the differences in both approaches for univariate and multivariate statistical analyses, using illustrative data sets from Austrian ...
Mehmet C, Mert   +3 more
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Food Composition Data and Food Composition Data Bases

1992
Early food composition studies were carried out to identify and determine the chemical nature of the principles in foods that affect human health. These studies, which were also concerned with the mechanisms whereby chemical constituents exert their influence, provided the basis for the early development of the science of nutrition (McCollum, 1957) and
H. Greenfield, D. A. T. Southgate
openaire   +1 more source

“compositions”: A unified R package to analyze compositional data

Computers & Geosciences, 2008
This contribution presents a new R package, called ''compositions''. It provides tools to analyze amount or compositional data sets in four different geometries, each one associated with an R class: rplus (for amounts, or open compositions, in a real, classical geometry), aplus (for amounts in a logarithmic geometry), rcomp (for closed compositions in ...
K. Gerald van den Boogaart   +1 more
openaire   +3 more sources

Robust Methods for Compositional Data

2010
Many practical data sets in environmental sciences, official statistics and various other disciplines are in fact compositional data because only the ratios between the variables are informative. Compositional data are represented in the Aitchison geometry on the simplex, and for applying statistical methods designed for the Euclidean geometry they ...
Peter Filzmoser, Karel Hron
openaire   +1 more source

A Composite Stabilizing Data Structure

2001
A data structure is stabilizing if, for any arbitrary (and possibly illegitimate) initial state, any sequence of sufficiently many operations brings the data structure to a legitimate state. A data structure is available if, for any arbitrary state, the effect of any operation on the structure is consistent with the operation's response.
Ted Herman, Imran A. Pirwani
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Compositional Data Analysis

2011
This book present the history and development of compositional data analysis along with Aitchison's log-ratio approach. It deswcribe the state of the art both in theoretical fields as well as applications in the different fields of science.
V. Pawlowsky Glahn, BUCCIANTI, ANTONELLA
openaire   +1 more source

Ranking Methods for Compositional Data

Applied Statistics, 1992
Summary: In the analysis of compositional data, zero components or a non-normal distribution of the log-ratios severely limits the analysis that can be done. Ranking across both cases and components, before scaling, is suggested as a possible new approach.
openaire   +3 more sources

Compositional generative mapping of structured data

The 2010 International Joint Conference on Neural Networks (IJCNN), 2010
We introduce a compositional generative model for topographic mapping of tree-structured data. It exploits a scalable bottom-up hidden tree Markov model to achieve a recursive topographic mapping of hierarchical information. The model allows for an efficient exploitation of contextual information from shared substructures by recursive upward ...
Davide Bacciu   +2 more
openaire   +1 more source

Advances in Principal Balances for Compositional Data

Mathematical Geosciences, 2017
Compositional data analysis requires selecting an orthonormal basis with which to work on coordinates. In most cases this selection is based on a data driven criterion. Principal component analysis provides bases that are, in general, functions of all the original parts, each with a different weight hindering their interpretation.
J. A. Martín-Fernández   +3 more
openaire   +4 more sources

Graphics Composition of Fundus Data

American Journal of Ophthalmology, 1984
I developed a simple, inexpensive method of combining and recording clinical fundus data from a variety of sources in an instant color print or color transparency format. The system is useful for sequential observation, for planning laser treatment, for reference during photocoagulation, and for follow-up in many diseases including macular degeneration.
openaire   +2 more sources

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