An R Library for Compositional Data Analysis in Archaeometry

Compositional data naturally arises from the scientific analysis of the chemical composition of archaeological material such as ceramic and glass artefacts. Data of this type can be explored using a variety of techniques, from standard multivariate methods such as principal components analysis and cluster analysis, to methods based upon the use of log-ratios. The general aim is to identify groups of chemically similar artefacts that could potentially be used to answer questions of provenance. This paper will demonstrate work in progress on the development of a documented library of methods, implemented using the statistical package R, for the analysis of compositional data. R is an open source package that makes available very powerful statistical facilities at no cost. We aim to show how, with the aid of statistical software such as R, traditional exploratory multivariate analysis can easily be used alongside, or in combination with, specialist techniques of compositional data analysis. The library has been developed from a core of basic R functionality, together with purpose-written routines arising from our own research (for example that reported at CoDaWork'03). In addition, we have included other appropriate publicly available techniques and libraries that have been implemented in R by other authors. Available functions range from standard multivariate techniques through to various approaches to log-ratio analysis and zero replacement. We also discuss and demonstrate a small selection of relatively new techniques that have hitherto been little-used in archaeometric applications involving compositional data. The application of the library to the analysis of data arising in archaeometry will be demonstrated; results from different analyses will be compared; and the utility of the various methods discussed

Compositional data analysis in archaeometry

We shall call an n × p data matrix fully-compositional if the rows sum to a constant, and sub-compositional if the variables are a subset of a fully-compositional data set1. Such data occur widely in archaeometry, where it is common to determine the chemical composition of ceramic, glass, metal or other artefacts using techniques such as neutron activation analysis (NAA), inductively coupled plasma spectroscopy (ICPS), X-ray fluorescence analysis (XRF) etc. Interest often centres on whether there are distinct chemical groups within the data and whether, for example, these can be associated with different origins or manufacturing technologies

El Cas de l'arrendament de tota la terrissa de Quart

Descripció dels diferents privilegis que varen obtenir els ollers de Quart, des del Privilegi Reial, que els fou concedit pel rei Felip el 7 de maig de 1572

Oscil.lacions del nivell del mar i sediments associats durant l'Holocè a la Costa Brava Meridional (Girona)

Several marine deposits in the southern Costa Brava shoreline have been studied. They appear at different heights above and below the present sea level. Three groups are defined in relation to their origin: conglomerate levels at the bottom of the cliffs, not-cemented emerged beaches and cemented submerged beaches. The age of the emerged beaches has been accurately determined by means of the ceramic content and radiocarbon dating. Chronological succession of the deposits and their stratigraphic and paleontological characteristics allow to define a sequence of the sea level changes during the latest stages of the versiliane transgression in the studied area