alr approach for replacing values below the detection limit

All of the imputation techniques usually applied for replacing values below thedetection limit in compositional data sets have adverse effects on the variability. In thiswork we propose a modification of the EM algorithm that is applied using the additivelog-ratio transformation. This new strategy is applied to a compositional data set and theresults are compared with the usual imputation techniques

CoDaPack. An Excel and Visual Basic based software of compositional data analysis. Current version and discussion form upcoming versions

In the eighties, John Aitchison (1986) developed a new methodological approach for the statistical analysis of compositional data. This new methodology was implemented in Basic routines grouped under the name CODA and later NEWCODA inMatlab (Aitchison, 1997). After that, several other authors have published extensions to this methodology: Marín-Fernández and others (2000), Barceló-Vidal and others (2001), Pawlowsky-Glahn and Egozcue (2001, 2002) and Egozcue and others (2003). (...)

Bayesian tools for zero counts in compositional data

The log-ratio methodology makes available powerful tools for analyzing compositionaldata. Nevertheless, the use of this methodology is only possible for those data setswithout null values. Consequently, in those data sets where the zeros are present, aprevious treatment becomes necessary. Last advances in the treatment of compositionalzeros have been centered especially in the zeros of structural nature and in the roundedzeros. These tools do not contemplate the particular case of count compositional datasets with null values. In this work we deal with \count zeros" and we introduce atreatment based on a mixed Bayesian-multiplicative estimation. We use the Dirichletprobability distribution as a prior and we estimate the posterior probabilities. Then weapply a multiplicative modi¯cation for the non-zero values. We present a case studywhere this new methodology is applied.Key words: count data, multiplicative replacement, composition, log-ratio analysis

A comparison of the alr and ilr transformations for kernel density estimation of compositional data

In a seminal paper, Aitchison and Lauder (1985) introduced classical kernel densityestimation techniques in the context of compositional data analysis. Indeed, they gavetwo options for the choice of the kernel to be used in the kernel estimator. One ofthese kernels is based on the use the alr transformation on the simplex SD jointly withthe normal distribution on RD-1. However, these authors themselves recognized thatthis method has some deficiencies. A method for overcoming these dificulties based onrecent developments for compositional data analysis and multivariate kernel estimationtheory, combining the ilr transformation with the use of the normal density with a fullbandwidth matrix, was recently proposed in Martín-Fernández, Chacón and Mateu-Figueras (2006). Here we present an extensive simulation study that compares bothmethods in practice, thus exploring the finite-sample behaviour of both estimators

CODAMAT: a modern analogue techinque for compositional data

The quantitative estimation of Sea Surface Temperatures from fossils assemblages is afundamental issue in palaeoclimatic and paleooceanographic investigations. TheModern Analogue Technique, a widely adopted method based on direct comparison offossil assemblages with modern coretop samples, was revised with the aim ofconforming it to compositional data analysis. The new CODAMAT method wasdeveloped by adopting the Aitchison metric as distance measure. Modern coretopdatasets are characterised by a large amount of zeros. The zero replacement was carriedout by adopting a Bayesian approach to the zero replacement, based on a posteriorestimation of the parameter of the multinomial distribution. The number of modernanalogues from which reconstructing the SST was determined by means of a multipleapproach by considering the Proxies correlation matrix, Standardized Residual Sum ofSquares and Mean Squared Distance. This new CODAMAT method was applied to theplanktonic foraminiferal assemblages of a core recovered in the Tyrrhenian Sea.Kew words: Modern analogues, Aitchison distance, Proxies correlation matrix,Standardized Residual Sum of Squares

Multi-isotopic and compositional exploration of factors controlling nitrate pollution

In Catalonia, according to the nitrate directive (91/676/EU), nine areas have been declared as vulnerable to nitrate pollution from agricultural sources (Decret 283/1998 and Decret 479/2004). Five of these areas have been studied coupling hydro chemical data with a multi-isotopic approach (Vitòria et al. 2005, Otero et al. 2007, Puig et al. 2007), in an ongoing research project looking for an integrated application of classical hydrochemistry data, with a comprehensive isotopic characterisation (δ15N and δ18O of dissolved nitrate, δ34S and δ18O of dissolved sulphate, δ13C of dissolved inorganic carbon, and δD and δ18O of water). Within this general frame, the contribution presented explores compositional ways of: (i) distinguish agrochemicals and manure N pollution, (ii) quantify natural attenuation of nitrate (denitrification), and identify possible controlling factors.To achieve this two-fold goal, the following techniques have been used. Separate biplots of each suite of data show that each studied region has a distinct δ34S and pH signatures, but they are homogeneous with regard to NO3- related variables. Also, the geochemical variables were projected onto the compositional directions associated with the possible denitrification reactions in each region. The resulting balances can be plot together with some isotopes, to assess their likelihood of occurrence

Possible solution of some essential zero problems in compositional data analysis

One of the tantalising remaining problems in compositional data analysis lies in how to deal with data sets in which there are components which are essential zeros. By anessential zero we mean a component which is truly zero, not something recorded as zero simply because the experimental design or the measuring instrument has not been sufficiently sensitive to detect a trace of the part. Such essential zeros occur inmany compositional situations, such as household budget patterns, time budgets,palaeontological zonation studies, ecological abundance studies. Devices such as nonzero replacement and amalgamation are almost invariably ad hoc and unsuccessful insuch situations. From consideration of such examples it seems sensible to build up amodel in two stages, the first determining where the zeros will occur and the secondhow the unit available is distributed among the non-zero parts. In this paper we suggest two such models, an independent binomial conditional logistic normal model and a hierarchical dependent binomial conditional logistic normal model. The compositional data in such modelling consist of an incidence matrix and a conditional compositional matrix. Interesting statistical problems arise, such as the question of estimability of parameters, the nature of the computational process for the estimation of both the incidence and compositional parameters caused by the complexity of the subcompositional structure, the formation of meaningful hypotheses, and the devising of suitable testing methodology within a lattice of such essential zero-compositional hypotheses. The methodology is illustrated by application to both simulated and real compositional data

Application of discriminant function analysis and change-point problem in dating volcanic ashes

The application of Discriminant function analysis (DFA) is not a new idea in the studyof tephrochrology. In this paper, DFA is applied to compositional datasets of twodifferent types of tephras from Mountain Ruapehu in New Zealand and MountainRainier in USA. The canonical variables from the analysis are further investigated witha statistical methodology of change-point problems in order to gain a betterunderstanding of the change in compositional pattern over time. Finally, a special caseof segmented regression has been proposed to model both the time of change and thechange in pattern. This model can be used to estimate the age for the unknown tephrasusing Bayesian statistical calibration

Statistical Analysis of Eco-Toxicologic Data of Mammals from a Polluted Area

Several eco-toxicological studies have shown that insectivorous mammals, due to theirfeeding habits, easily accumulate high amounts of pollutants in relation to other mammal species. To assess the bio-accumulation levels of toxic metals and their in°uenceon essential metals, we quantified the concentration of 19 elements (Ca, K, Fe, B, P,S, Na, Al, Zn, Ba, Rb, Sr, Cu, Mn, Hg, Cd, Mo, Cr and Pb) in bones of 105 greaterwhite-toothed shrews (Crocidura russula) from a polluted (Ebro Delta) and a control(Medas Islands) area. Since chemical contents of a bio-indicator are mainly compositional data, conventional statistical analyses currently used in eco-toxicology can givemisleading results. Therefore, to improve the interpretation of the data obtained, weused statistical techniques for compositional data analysis to define groups of metalsand to evaluate the relationships between them, from an inter-population viewpoint.Hypothesis testing on the adequate balance-coordinates allow us to confirm intuitionbased hypothesis and some previous results. The main statistical goal was to test equalmeans of balance-coordinates for the two defined populations. After checking normality,one-way ANOVA or Mann-Whitney tests were carried out for the inter-group balances

Validació i quantificació del trastorn psicopàtic de la personalitat en l'àmbit de la medicina forense de Catalunya

El treball avalua amb PCL:SV 18 subjectes imputats per delictes de robatoris amb intimidació, homicidi, violació en sèrie, assassinat, lesions, assetjament sexual. Es mostren els resultats descriptius de la PCL:SV aplicada: puntuacions, mitjanes, distribució de mesura.

When zero doesn't mean it and other geomathematical mischief

There is almost not a case in exploration geology, where the studied data doesn’tincludes below detection limits and/or zero values, and since most of the geological dataresponds to lognormal distributions, these “zero data” represent a mathematicalchallenge for the interpretation.We need to start by recognizing that there are zero values in geology. For example theamount of quartz in a foyaite (nepheline syenite) is zero, since quartz cannot co-existswith nepheline. Another common essential zero is a North azimuth, however we canalways change that zero for the value of 360°. These are known as “Essential zeros”, butwhat can we do with “Rounded zeros” that are the result of below the detection limit ofthe equipment?Amalgamation, e.g. adding Na2O and K2O, as total alkalis is a solution, but sometimeswe need to differentiate between a sodic and a potassic alteration. Pre-classification intogroups requires a good knowledge of the distribution of the data and the geochemicalcharacteristics of the groups which is not always available. Considering the zero valuesequal to the limit of detection of the used equipment will generate spuriousdistributions, especially in ternary diagrams. Same situation will occur if we replace thezero values by a small amount using non-parametric or parametric techniques(imputation).The method that we are proposing takes into consideration the well known relationshipsbetween some elements. For example, in copper porphyry deposits, there is always agood direct correlation between the copper values and the molybdenum ones, but whilecopper will always be above the limit of detection, many of the molybdenum values willbe “rounded zeros”. So, we will take the lower quartile of the real molybdenum valuesand establish a regression equation with copper, and then we will estimate the“rounded” zero values of molybdenum by their corresponding copper values.The method could be applied to any type of data, provided we establish first theircorrelation dependency.One of the main advantages of this method is that we do not obtain a fixed value for the“rounded zeros”, but one that depends on the value of the other variable.Key words: compositional data analysis, treatment of zeros, essential zeros, roundedzeros, correlation dependency

A evolução da disciplina de administração aplicada à enfermagem na escola de enfermagem da USP no período de 1980 a 1995

Com o objetivo de descrever a evolução da disciplina "Administração Aplicada à Enfermagem", no período de 1980 a 1995, estudou-se os planos de curso construídos pelos docentes responsáveis por sua elaboração e condução. Os textos dos itens "Objetivos e Conteúdo" foram analisados sob a ótica da Fenomenologia, sendo submetidos ao processo de análise de discurso proposto por Martins e Bicudo. Os resultados dos procedimentos empregados nessa análise permitiram a identificação de seis categorias de pensamento: Gerenciar em Enfermagem, Bases Ideológicas e Políticas do Gerenciar em Enfermagem, A Comunicação como Instrumento para Gerenciar, Gerenciamento de Recursos Físicos, Gerenciamento de Recursos Materiais e Gerenciamento de Recursos Humanos. As modificações observadas nos planos de curso ao longo do período estudado indicaram a ocorrência de dois momentos marcantes - um no fim da década de 80, com a reformulação das bases ideológicas nas quais se assentava a disciplina e outro ao fim do primeiro lustro da década de 90, com a reorganização curricular,. A identificação desta trajetória possibilitou o acompanhamento e a compreensão do desenvolvimento da disciplina, podendo trazer recursos para a análise de disciplinas correlatas ou da mesma disciplina em outros contextos e experiências.

A inserção do ensino de custos na disciplina administração aplicada à enfermagem

O objetivo deste texto foi realizar um resgate teórico sobre a traje-tória da disciplina de Admi-nistração Aplicada à Enfermagem, na graduação, ao longo da história do ensino da Enfermagem Brasi-leira, relacionando-a ao ensino de Custos. Percebemos, inseridas no ensino dessa disciplina, diversas citações diretas referentes ao tema Custos ou Economia em Saúde, desde o primeiro currículo de Enfermagem de 1890 até as Diretrizes Curriculares Nacionais do Curso de Graduação em Enfer-magem de 2001, além de citações indiretas relacionadas ao geren-ciamento, tomada de decisão, assessorias em projetos de saúde, entre outras, mas sem haver uma continuidade.

Microscòpia d'alta resolució aplicada a anàlisis traceològiques, tafonòmiques i zooarqueològiques

El projecte Microscòpia d'alta resolució aplicada a anàlisis traceològiques, tafonòmiques y zooarqueològiques ha permès donar continuïtat i ampliar la xarxa científica posada en marxa gràcies a dos projectes PBR anteriors entre l’IPHES i quatre centres anglesos: l’Institute of Archaeology del University College of London, el Dept of Prehistory and Europe del British Museum, el Dept of Palaeontology del Natural History Museum, i el Lithic Microwear Research Laboratory de la University of Bradford. El tema tractat ha estat l’avaluació de la resolució i de la possible complementarietat de diferents tècniques avançades de microscòpia per a l’anàlisi de les superfícies d’ossos i eines de pedra prehistòriques: microscòpia òptica, electrònica (SEM i ESEM), microscòpia làser confocal (LSCM) i el sistema Alicona 3D Infinite Imaging. Les diverses accions de mobilitat entre Catalunya i el Regne Unit realitzades han permès satisfactòriament posar en comú els procediments emprats pels diferents especialistes de cada centre. Les proves realitzades sobre materials de jaciments arqueològics clau tant britànics com de l’estat espanyol han permès avaluar els avantatges i limitacions que cada tècnica presentava segons la mostra estudiada (eines de pedra, ossos, dents...) i segons els requeriments específics de l’estudi plantejat. En termes generals, s’ha posat en evidència que les diferents tècniques explorades són força complementàries. És a dir, la gran capacitat d’augments i de resolució d’imatge dels microscopis electrònics es complementa amb unes meravelloses prestacions quant anàlisi de textures, de perfils i de reconstrucció 3D dels altres aparells. La principal conclusió que podem extreure, doncs, és que l’estudi d’aquest tipus d’objectes arqueològics requereix de l’ús combinat de diferents aparells de microscòpia. Tant els treballs realitzats com els contactes entre especialistes establerts al llarg del projecte s’han plasmat ja en treballs concrets, alguns d’ells ja publicats o en fase final de publicació.

La teoría de Morales-Ramis y el algoritmo de Kovacic

La teor\'\ı a de Morales–Ramis es la teor\'\ı a de Galois en el contextode los sistemas din\'amicos y relaciona dos tipos diferentes de integrabilidad:integrabilidad en el sentido de Liouville de un sistema hamiltonianoe integrabilidad en el sentido de la teor\'\ı a de Galois diferencial deuna ecuaci\'on diferencial. En este art\'\i culo se presentan algunas aplicacionesde la teor\'\i a de Morales–Ramis en problemas de no integrabilidadde sistemas hamiltonianos cuya ecuaci\'on variacional normal a lo largode una curva integral particular es una ecuaci\'on diferencial lineal desegundo orden con coeficientes funciones racionales. La integrabilidadde la ecuaci\'on variacional normal es analizada mediante el algoritmode Kovacic.