Bayes theorem (discrete case) is taken as a paradigm of information acquisition. As men-tioned by Aitchison, Bayes formula can be identified with perturbation of a prior probability vector and a discrete likelihood function, ...

Understanding the physical-chemical features of liquid, gas and solid phases in natural analogue reservoirs of Carbon Capture and Sequestration (CCS) site is fundamental as they can provide key data for building up both ...

A soil aggregate is made of closely packed sand, silt, clay, and organic particles building up soil structure. Soil aggregation is a soil quality index integrating the chemical, physical, and biological processes ...

While several potato (Solanum tuberosum L.) cultivars of different maturity groups (e.g. early, mid-season, late) are being selected each year as a result of successful breeding for disease resistance and market requirements, ...

It is well-known in image processing that, by varying the wavelength, any material reflects and absorbs in a different way the solar radiation. This is registered by hyperspectral sensors, which collect multivariate ...

In analyses of compositional data, it is important to select a suitable unchanging component as a reference to detect the behavior of a single variable in isolation. This paper introduces two tests for detecting the unchanging ...

Orthonormal coordinates are very important tool for compositional data processing using standard statistical methods. Namely, in order to express a D-part composition in the Euclidean real space we use isometric log-ratio ...

The free and open-source programming language and software environment R (R Development Core Team, 2010) is currently both, the most widely used and most popular software for statistics and data analysis. In addition, R ...

The biplot is a widely and powerful methodology used with multidimensional data sets to describe and display the relationships between observations and variables in an easy way. Compositional data consist of positive ...

Perturbation and powering are two operations in the simplex that define a vector-space structure. Perturbation and powering in the simplex play the same role as the sum and product by scalars in real space. A standard ...

The aim of this paper is to introduce a methodology for de¯ning groups from regionalized com- positional data, through a hierarchical clustering algorithm aware of both the spatial dependence and the compositional character ...

Cleveland (1979) is usually credited with the introduction of the locally weighted regression, Loess. The concept was further developed by Cleveland and Devlin (1988). The general idea is that for an arbitrary number of ...

Historically CoDaPack 3D has intended to be a software of Compositional Data with an easy and intuitive way of use. For this reason from the beginning it has been associated to Excel, a software known and used for many ...

Intramuscular fat (IMF) content and composition, particularly the oleic fatty acid content (OL), are major quality characteristics of pork fresh and dry-cured products. They are known to be related to nutritional, ...

Orthogonal regression is a proper tool for fitting two-dimensional data points when errors occur in both the variables. This type of modelling technique is also called the total least squares (TLS) in the statistical ...

Government geological surveys and mineral exploration companies collect large amounts of geochemical data, which are used in search for mineral commodities or for determining environmental disturbances. These surveys ...

Water bodies around urban areas may be polluted with chemical elements from urban or industrial activities. We study the case of underground water pollution. This is a serious problem, since underground water is high ...

Morphometry is defined as the measurement of the external and perceptible characteristics, i.e., in a first approximation, of the shape or morphology of an object. It includes information related to the object’s appearance ...

For the exploratory analysis of three-way data, e.g., measurements of a number of objects, on a number of variables at different points in time, Tucker analysis is one of the most applied technique to study three-way ...

In compositional data analysis a value below detection limit (BDL) is typically modeled as the definitive information that the actual value is below some fixed value - the detection limit (see e.g. Palarea- Albaladejo ...

Submarine canyons are deep and steep incisions on the continental margins. The physical forcing mechanisms linked with these marine systems, such as the enhancement of upwelling and bottom sediment resuspension, are ...

Glycoconjugates constitute a major class of biomolecules which include glycoproteins, glycosphingolipids and proteoglycans. The enzymatic process in which glycans (sugar chains) are linked to proteins or lipids is called ...

Testing markers for Hardy-Weinberg equilibrium (HWE) is an important step in the analysis of large databases used in genetic association studies. Gross deviation from HWE can be indicative of genotyping error. There are ...

Principal balances are de ned as a sequence of orthonormal balances which maximize successively the explained variance in a data set. Apparently, computing principal balances requires an exhaustive search along all ...

During cultivation, the internal phosphorus cycle of Mollisols (Chernozems) of the Canadian Prairies is perturbed by crop sequences including wheat phases, tillage practices, and regular applications of fertilizers. To ...

The compositional analyst must use a series of software to transform raw compositional data and run statistical analyses on them. Tools for compositional data analysis are available in R, an open source widely-used ...

Statistical modeling in practice encompasses both the exploratory process, which is an inductive scientific approach and the confirmatory modeling process, which uses the deductive scientific approach. This paper will ...