Hardy-Weinberg Equilibrium and the Ternary Plot

The Hardy-Weinberg law, formulated about 100 years ago, states that under certainassumptions, the three genotypes AA, AB and BB at a bi-allelic locus are expected to occur inthe proportions p2, 2pq, and q2 respectively, where p is the allele frequency of A, and q = 1-p.There are many statistical tests being used to check whether empirical marker data obeys theHardy-Weinberg principle. Among these are the classical xi-square test (with or withoutcontinuity correction), the likelihood ratio test, Fisher's Exact test, and exact tests in combinationwith Monte Carlo and Markov Chain algorithms. Tests for Hardy-Weinberg equilibrium (HWE)are numerical in nature, requiring the computation of a test statistic and a p-value.There is however, ample space for the use of graphics in HWE tests, in particular for the ternaryplot. Nowadays, many genetical studies are using genetical markers known as SingleNucleotide Polymorphisms (SNPs). SNP data comes in the form of counts, but from the countsone typically computes genotype frequencies and allele frequencies. These frequencies satisfythe unit-sum constraint, and their analysis therefore falls within the realm of compositional dataanalysis (Aitchison, 1986). SNPs are usually bi-allelic, which implies that the genotypefrequencies can be adequately represented in a ternary plot. Compositions that are in exactHWE describe a parabola in the ternary plot. Compositions for which HWE cannot be rejected ina statistical test are typically “close" to the parabola, whereas compositions that differsignificantly from HWE are “far". By rewriting the statistics used to test for HWE in terms ofheterozygote frequencies, acceptance regions for HWE can be obtained that can be depicted inthe ternary plot. This way, compositions can be tested for HWE purely on the basis of theirposition in the ternary plot (Graffelman & Morales, 2008). This leads to nice graphicalrepresentations where large numbers of SNPs can be tested for HWE in a single graph. Severalexamples of graphical tests for HWE (implemented in R software), will be shown, using SNPdata from different human populations

Patrones de consumo de alcohol en la adolescencia

Este estudio analiza los patrones de consumo de alcohol y el papel de la influencia social y la percepción de peligrosidad de esta sustancia en dicho consumo en una muestra de 1.624 estudiantes de Secundaria de Girona con edades comprendidas entre los 12 y los 18 años (49,4% chicos). Losresultados muestran que un 20,9% de los adolescentes se consideran consumidores habituales de alcohol, y que el consumo se incrementa con la edad, independientemente del género. Un porcentaje elevado de consumidores supera el umbral de alto riesgo para la salud, principalmente entre las chicas debido a las diferencias de género en la metabolización alcohólica. Asimismo se confirma la influencia del entorno (amigos y familiares) y de la percepción de peligrosidad del alcohol tanto en el consumo de esta sustancia como en su uso de alto riesgo. Alcohol consumption patterns in adolescence

Compositional amalgamations and balances: a critical approach

The amalgamation operation is frequently used to reduce the number of parts of compositional data but it is a non-linear operation in the simplex with the usual geometry,the Aitchison geometry. The concept of balances between groups, a particular coordinate system designed over binary partitions of the parts, could be an alternative to theamalgamation in some cases. In this work we discuss the proper application of bothconcepts using a real data set corresponding to behavioral measures of pregnant sows

Verdaguer a Folgueroles: un recurs local ben aprofitat estudi d'un sistema local territorial

És més que evident la relació de JacintVerdaguer amb el poble de Folgueroles. Tanmateix, aquest estudi mostra llur relaciódes d’una nova perspectiva, en la qual el desenvolupament territorial n’és la base. Folgueroles percep quelcom d’identitari enel poeta i el fa esdevenir recurs clau per tirar endavant un projecte de poble. Mitjançant la descripció del Sistema Local Territorial sorgit a Folgueroles al voltant de la figura del poeta, es defineix aquest projecte, els seus actors principals i les seves relacions, i, finalment, se’n farà una valoració

La evaluación de la reducción de amenazas en el Parque Natural de la Zona Volcánica de la Garrotxa (Girona)

En este artículo se presenta la metodología y los resultados derivados de la aplicación de una adaptación del denominado modelo de evaluación de reducción de amenazas (Threat Reduction Assesment) en el Parque Natural de la Zona Volcánica de la Garrotxa (PNZVG). Endefinitiva, se pretende valorar la efectividad de la gestión a partir del grado de reducción de amenazas en el PNZVG. El estudio se realizó a partir de la elaboración de una evaluación externa e independiente, que ha contado a la vez con una estrecha colaboración de los órganos gestores y rectores del Parque, así como con una activa participación de distintos agentes sociales clave. Se concluye que, después de veinticinco años de existencia del Parque, muchas de las amenazas iniciales sólo se han reducido de forma modesta e incluso a partir del índice adaptado, considerado un enfoque más realista; con lo cual se llega a la preocupante conclusión de que algunas de las amenazas más importantes se han incrementado

Coherent forecasting of multiple-decrement life tables: a test using Japanese cause of death data

Planners in public and private institutions would like coherent forecasts of the components of age-specic mortality, such as causes of death. This has been di cult toachieve because the relative values of the forecast components often fail to behave ina way that is coherent with historical experience. In addition, when the group forecasts are combined the result is often incompatible with an all-groups forecast. It hasbeen shown that cause-specic mortality forecasts are pessimistic when compared withall-cause forecasts (Wilmoth, 1995). This paper abandons the conventional approachof using log mortality rates and forecasts the density of deaths in the life table. Sincethese values obey a unit sum constraint for both conventional single-decrement life tables (only one absorbing state) and multiple-decrement tables (more than one absorbingstate), they are intrinsically relative rather than absolute values across decrements aswell as ages. Using the methods of Compositional Data Analysis pioneered by Aitchison(1986), death densities are transformed into the real space so that the full range of multivariate statistics can be applied, then back-transformed to positive values so that theunit sum constraint is honoured. The structure of the best-known, single-decrementmortality-rate forecasting model, devised by Lee and Carter (1992), is expressed incompositional form and the results from the two models are compared. The compositional model is extended to a multiple-decrement form and used to forecast mortalityby cause of death for Japan

Mixing compositions and other scales

Theory of compositional data analysis is often focused on the composition only. However in practical applications we often treat a composition together with covariableswith some other scale. This contribution systematically gathers and develop statistical tools for this situation. For instance, for the graphical display of the dependenceof a composition with a categorical variable, a colored set of ternary diagrams mightbe a good idea for a first look at the data, but it will fast hide important aspects ifthe composition has many parts, or it takes extreme values. On the other hand colored scatterplots of ilr components could not be very instructive for the analyst, if theconventional, black-box ilr is used.Thinking on terms of the Euclidean structure of the simplex, we suggest to set upappropriate projections, which on one side show the compositional geometry and on theother side are still comprehensible by a non-expert analyst, readable for all locations andscales of the data. This is e.g. done by defining special balance displays with carefully-selected axes. Following this idea, we need to systematically ask how to display, explore,describe, and test the relation to complementary or explanatory data of categorical, real,ratio or again compositional scales.This contribution shows that it is sufficient to use some basic concepts and very fewadvanced tools from multivariate statistics (principal covariances, multivariate linearmodels, trellis or parallel plots, etc.) to build appropriate procedures for all these combinations of scales. This has some fundamental implications in their software implementation, and how might they be taught to analysts not already experts in multivariateanalysis

Els Valors cristians dels arbres

Aquest article pretén analitzar els principals valors espirituals i simbòlics que presenten els arbres de la ribamediterrània europea en relació ambla religió cristiana. Article que es centra en les relacions entre arbres i cristianisme i, en conseqüència, és en els textos cristians on es capbussa per trobar referències simbòliques dels arbres mediterranis

Key competences in the new ventures: a model for evaluating

This research studies from an internal view based on the Competency-Based Perspective (CBP), key organizational competencies developed for small new business. CBP is chosen in an attempt to explain the differences characterizing the closed companies from the consolidated ones. The main contribution of this paper is the definition of a set of key organizational competencies for new ventures from services and low technology based sectors. Using the classification proposed by [1] and a review of the entrepreneurship literature, the main competencies were defined and classified as: managerial, input-based, transformation-based, and output-based competencies. The proposed model for evaluating new ventures organizational competence is tested by means of Structural Equation

La Llengua de l'heroi: notes sobre la llengua del segle XX a partir de les traduccions catalanes de David Copperfield de Charles Dickens

Estudi comparatiu de les dues traduccions catalanes publicades de David Copperfield de Charles Dickens. La primera de Josep Carner feta l’any 1930 però publicada el 1964 i la segona obra deJoan Sellent del 2003. L’anàlisi mostra que ambdues traduccions, excel·lents, reflecteixen una evolució singular i força accelerada del model de llengua que els traductors fan arribar al seu públic, que és reflex de la complexa història de la llengua catalana del segle xx, que encara s’had’escriure.

L'Ordenació urbanística en paísos del sud: el cas del pla de desenvolupament integral de Quilalí (Nicaragua)

Article que té com objectiu l'elaboració d'un Pla de Desenvolupament Integral per el municipi de Quilalí, situat al nord de Nicaragua, fent frontera amb Hondures. Primers'exposen les fases per a l'elaboració del Pla i en segon terme es destaquen, a partir de la propia experiència dels autors, les fases del Pla que els autors creuen méssignificatives, i s'exposen alguns dels resultats obtinguts

Redes, calidad de vida y complejidad

Article on es reflexiona sobre l'impacte del treball de Milgram en relació les xarxes socials

Los medios audiovisuales entre los progenitores y los hijos e hijas

En el presente artículo se exponen los resultados de una investigación realizada con una muestra de adolescentes (N = 1211) entre 12 y 16 años y otra de sus progenitores (N = 462) para explorar cómo las diferentes respuestas generacionales ante la presencia de diversos medios audiovisuales en su entorno próximo afectan las interacciones familiares entre progenitores e hijos/as. Los resultados apuntan al hecho que los progenitores tienden a sobredimensionar tanto el interés como las informaciones de que dispone su propio hijo o hija acerca de la mayor parte de los medios audiovisuales explorados, así como la satisfacción que proporcionan las conversaciones con los adultos acerca de cualquier actividad con estos medios. Los progenitores realizan atribuciones diferentes sobre el uso de medios audiovisuales según se refieran a un hijo o a una hija. Se aprecia una importante diferencia entre la satisfacción con las conversaciones que los y las adolescentes mantienen con sus iguales y la que proporcionan las conversaciones con los adultos respecto a cualquiera de sus actividades con los medios

Using self organizing maps on compositional data

Self-organizing maps (Kohonen 1997) is a type of artificial neural network developedto explore patterns in high-dimensional multivariate data. The conventional versionof the algorithm involves the use of Euclidean metric in the process of adaptation ofthe model vectors, thus rendering in theory a whole methodology incompatible withnon-Euclidean geometries.In this contribution we explore the two main aspects of the problem:1. Whether the conventional approach using Euclidean metric can shed valid resultswith compositional data.2. If a modification of the conventional approach replacing vectorial sum and scalarmultiplication by the canonical operators in the simplex (i.e. perturbation andpowering) can converge to an adequate solution.Preliminary tests showed that both methodologies can be used on compositional data.However, the modified version of the algorithm performs poorer than the conventionalversion, in particular, when the data is pathological. Moreover, the conventional ap-proach converges faster to a solution, when data is \well-behaved".Key words: Self Organizing Map; Artificial Neural networks; Compositional data

Scoring Methods for Ordinal Multidimensional Forced-Choice Items

In most psychological tests and questionnaires, a test score is obtained bytaking the sum of the item scores. In virtually all cases where the test orquestionnaire contains multidimensional forced-choice items, this traditionalscoring method is also applied. We argue that the summation of scores obtained with multidimensional forced-choice items produces uninterpretabletest scores. Therefore, we propose three alternative scoring methods: a weakand a strict rank preserving scoring method, which both allow an ordinalinterpretation of test scores; and a ratio preserving scoring method, whichallows a proportional interpretation of test scores. Each proposed scoringmethod yields an index for each respondent indicating the degree to whichthe response pattern is inconsistent. Analysis of real data showed that withrespect to rank preservation, the weak and strict rank preserving methodresulted in lower inconsistency indices than the traditional scoring method;with respect to ratio preservation, the ratio preserving scoring method resulted in lower inconsistency indices than the traditional scoring method