Comparing correspondence analysis and the log-ratio alternative for representing categorical data

We compare correspondance análisis to the logratio approach based on compositional data. We also compare correspondance análisis and an alternative approach using Hellinger distance, for representing categorical data in a contingency table. We propose a coefficient which globally measures the similarity between these approaches. This coefficient can be decomposed into several components, one component for each principal dimension, indicating the contribution of the dimensions to the difference between the two representations. These three methods of representation can produce quite similar results. One illustrative example is given

Exploration of geological variability and possible processes through the use of compositional data analysis: an example using scottish metamorphosed

Developments in the statistical analysis of compositional data over the last two decades have made possible a much deeper exploration of the nature of variability, and the possible processes associated with compositional data sets from many disciplines. In this paper we concentrate on geochemical data sets. First we explain how hypotheses of compositional variability may be formulated within the natural sample space, the unit simplex, including useful hypotheses of subcompositional discrimination and specific perturbational change. Then we develop through standard methodology, such as generalised likelihood ratio tests, statistical tools to allow the systematic investigation of a complete lattice of such hypotheses. Some of these tests are simple adaptations of existing multivariate tests but others require special construction. We comment on the use of graphical methods in compositional data analysis and on the ordination of specimens. The recent development of the concept of compositional processes is then explained together with the necessary tools for a staying- in-the-simplex approach, namely compositional singular value decompositions. All these statistical techniques are illustrated for a substantial compositional data set, consisting of 209 major-oxide and rare-element compositions of metamorphosed limestones from the Northeast and Central Highlands of Scotland. Finally we point out a number of unresolved problems in the statistical analysis of compositional processes

Replicated nil associations of digit ratio (2D:4D) and absolute finger lengths with implicit and explicit measures of aggression. 'Replicaci??n de asociaciones nulas del ratio del segundo y cuarto dedo (2D:4D) y la longitud absoluta de los dedos con medidas de agresi??n impl??citas y expl??citas'

Resumen tomado de la publicaci??n

Els or??gens de la Ratio Studiorum dels jesu??tes. 'Los or??genes de la Ratio Studiorum de los jesuitas'

Resumen de la revista

¿Se debe bajar la ratio?

Se analiza la idea de que la calidad de la educación no siempre está en relación con la bajada de la ratio, sino también con el adecuado empleo de los recursos destinados a la enseñanza. Entre otros aspectos, se apuntan recursos relacionadas con el profesorado, como son, el aumento de profesionales, la mejora y ampliación de la formación, y la preparación para trabajar en distinta situaciones. Sin perder de vista que trabajar en clases pequeñas en general es beneficioso, se tienen en cuenta otros aspectos para mejorar la educación, los cuales están en relación con los objetivos que se pretendan alcanzar.

La Ratio de los jesuítas, carisma y eficacia.

En 1599 se aprobó el texto definitivo de la Ratio Studiorum, documento que daba forma al sistema educativo de los Jesuitas. Aquí se trata brevemente cómo empezó y en qué consiste este modo de educar..

La Ratio Studiorum de 1599 : un sistema educativo singular.

Resumen basado en el del autor

A comparison of discriminant logistic regression and Item Response Theory Likelihood-Ratio Tests for Differential Item Functioning (IRTLRDIF) in polytomous short tests

Resumen tomado de la publicaci??n

Afectación al ratio de solvencia mínimo requerido, producto de la aplicación del capital por riesgo operativo a los bancos parte del sistema financiero ecuatoriano, bajo el enfoque y metodología de medición planteado por Basilea II

La solvencia para la industria bancaria está medida en función del ratio que relaciona al capital regulatorio con los activos ponderados por riesgo, ésta es una medida que sirve para tener una apreciación de cuan respaldada se encuentra una institución bancaria para hacer frente a los riesgos que está expuesta por la propia inherencia del negocio. Es en este contexto que se vuelve importante el cálculo del ratio de solvencia para los bancos privados del Ecuador y el cambio o afectación que éste sufre como producto de considerar el valor por la exposición al riesgo operativo y que se considera como un requerimiento de capital. El ratio de solvencia está en función del Índice de Basilea, y, el valor de exposición al riesgo operativo está calculado por uno de los métodos que se menciona en el documento Acuerdo de Capitales o Basilea II. El presente estudio partió de comprobar que en el Ecuador es factible aplicar por parte de las entidades bancarias uno de los métodos de medición para riesgo operativo, considerando que en algunos países de Latinoamérica y en España ya lo aplican. Adicionalmente, se presenta una alternativa de aplicación en el ratio de solvencia del valor calculado para el riesgo operativo, para suavizar su resultado.

La “última ratio” del derecho constitucional ecuatoriano a la resistencia

En el año 2008, Ecuador constitucionalizó el derecho a la resistencia, el cual, desde hace varias décadas se considera un tema agotado, o por lo menos, abandonado para la teoría constitucional por considerarlo como un derecho de imposible asimilación dentro de la estructura de los contemporáneos estados de Derecho basados en la primacía de la ley y en los que la sola vigencia de las normas son su parámetro de validez, sin reparar en la justicia o injusticia del resultado obtenido producto de su aplicación. Por lo tanto, el propósito inicial del presente trabajo investigativo es brindar, desde la dogmática jurídica, una comprensión clara sobre la naturaleza del derecho a la resistencia y evidenciar su problemática y posibles alcances dentro de nuestro estado constitucional de derechos y justicia. Un segundo propósito será constatar que la validez, vigencia y eficacia del derecho a la resistencia solo será posible si su contenido se adapta al nuevo paradigma constitucional que abandera el constitucionalismo de derechos, tarea en la que no se podrá desconocer los aportes de nuestra realidad jurídica, política y social. Un propósito final, busca lograr que desde el ámbito constitucional se comprenda el postulado de la última ratio como un elemento importante y que configura el contenido esencial de este derecho que, a más de limitarlo y darle su validez, posibilita su efectiva vigencia como un recurso excepcional frente al Derecho positivo, permitiendo superar parte de la problemática que hoy le aqueja: interpretación y empleo discrecional y arbitrario, proscripción, e ineficacia.

Land/sea warming ratio in response to climate change: IPCC AR4 model results and comparison with observations

Climate model simulations consistently show that in response to greenhouse gas forcing surface temperatures over land increase more rapidly than over sea. The enhanced warming over land is not simply a transient effect, since it is also present in equilibrium conditions. We examine 20 models from the IPCC AR4 database. The global land/sea warming ratio varies in the range 1.36–1.84, independent of global mean temperature change. In the presence of increasing radiative forcing, the warming ratio for a single model is fairly constant in time, implying that the land/sea temperature difference increases with time. The warming ratio varies with latitude, with a minimum in equatorial latitudes, and maxima in the subtropics. A simple explanation for these findings is provided, and comparisons are made with observations. For the low-latitude (40°S–40°N) mean, the models suggest a warming ratio of 1.51 ± 0.13, while recent observations suggest a ratio of 1.54 ± 0.09.

Intake, growth and meat quality of steers given diets based on varying proportions of maize silage and grass silage

Simmental × Holstein-Friesian steers were offered four forage diets. These comprised grass silage (G); proportionately 0·67 grass silage, proportionately 0·33 maize silage (GGM); 0·33 grass silage, 0·67 maize silage ( MMG); maize silage ( M) from 424 (s.d. = 11·5) kg to slaughter at a minimum weight of 560 kg. Forages were mixed and offered ad libitum. Steers were offered 2 kg of a concentrate daily, the concentrate being formulated such that all steers had similar crude protein intakes across dietary treatments. A sample of steers was slaughtered at the beginning of the experimental period to allow the calculation of the rate of gain of the carcass and its components. Carcass dissection of a sample of steers allowed the development of a prediction equation of carcass composition based on thoracic limb dissection of all carcasses. Forage dry matter intake and live-weight gain increased linearly as maize silage replaced grass silage in the forage mixture, resulting in improvements in food conversion ratio (all P = 0·001). Killing-out proportion increased with maize silage inclusion ( P < 0·001) but fat and conformation scores did not differ significantly between diets. However, increasing maize inclusion in the diet resulted in a greater weight ( P = 0·05) and proportion ( P = 0·008) of fat in the carcass, and significant increases in internal fat deposition. The inclusion of maize led to a progressive increase in the daily gains of carcass ( P < 0·001), and significant increases in the daily gains of both fat ( P < 0·001) and lean tissue ( P < 0·001). Fat colour was more yellow in cattle given diets G and GGM than diets MMG and M ( P < 0·001) and colour intensity was lower on diet M than the other three diets ( P < 0·001). There were no significant differences in any aspects of eating quality between diets. Therefore, maize silage has the potential to reduce the time taken for finishing beef animals to achieve slaughter weight with no apparent detrimental effects on subsequent meat quality.

Digestion, rumen fermentation and circulating concentrations of insulin, growth hormone and IGF-1 in steers fed diets based on different proportions of maize silage and grass silage

Replacing grass silage with maize silage results in a fundamental change in the ratio of structural to non-structural carbohydrates with commensurate changes in rumen fermentation patterns and nutrient utilisation. This study investigated the effects of feeding four forage mixtures, namely grass silage (G); 67 g/100 g grass silage133 g/100 g maize silage (GGM); 67 g/100 g maize silage133/100 g grass silage (MMG); maize silage (M) to four ruminally and duodenally canulated Holstein Friesian steers. All diets were formulated to be isonitrogenous (22.4 g N/kg DM) using a concentrate mixture. Dietary dry matter (DM) and organic matter (OM) digestibility increased with ascending maize silage inclusion (P,0.1) whereas starch and neutral detergent fibre digestibility declined (P,0.05). Ratio of non-glucogenic to glucogenic precursors in the rumen fluid increased with maize silage inclusion (P,0.01) with a commensurate reduction in rumen pH (P,0.05). Mean circulating concentrations of insulin were greatest and similar in diets MMG and GGM, lower in diet M and lowest in diet G (P,0.01). There were no effects of diet on the mean circulating concentration of growth hormone (GH), or the frequency, amplitude and duration of GH pulses, or the mean circulating concentrations of IGF-1. Increasing levels of DM, OM and starch intakes with the substitution of grass silage with maize silage affected overall digestion, nutrient partitioning and subsequent circulating concentrations of insulin.

On logarithmic ratio quantities and their units

The use of special units for logarithmic ratio quantities is reviewed. The neper is used with a natural logarithm (logarithm to the base e) to express the logarithm of the amplitude ratio of two pure sinusoidal signals, particularly in the context of linear systems where it is desired to represent the gain or loss in amplitude of a single-frequency signal between the input and output. The bel, and its more commonly used submultiple, the decibel, are used with a decadic logarithm (logarithm to the base 10) to measure the ratio of two power-like quantities, such as a mean square signal or a mean square sound pressure in acoustics. Thus two distinctly different quantities are involved. In this review we define the quantities first, without reference to the units, as is standard practice in any system of quantities and units. We show that two different definitions of the quantity power level, or logarithmic power ratio, are possible. We show that this leads to two different interpretations for the meaning and numerical values of the units bel and decibel. We review the question of which of these alternative definitions is actually used, or is used by implication, by workers in the field. Finally, we discuss the relative advantages of the alternative definitions.