Rangsorolás páros összehasonlításokkal. Kiegészítések a felvételizői preferencia-sorrendek módszertanához (Paired comparisons ranking. A supplement to the methodology of application-based preference ordering)

A Közgazdasági Szemle márciusi számában Telcs és szerzőtársai [2013] a felvételizők preferenciái alapján új megközelítést javasolt a felsőoktatási intézmények rangsorolására. Az alábbi írás új szempontokat biztosít ezen alapötlet gyakorlati megvalósításához. Megmutatja, hogy az alkalmazott modell ekvivalens az alternatívák egy aggregált páros összehasonlítási mátrix révén végzett rangsorolásával, ami rávilágít a szerzők kiinduló hipotéziseinek vitatható pontjaira. A szerző röviden áttekinti a hasonló feladatok megoldására javasolt módszereket, különös tekintettel azok axiomatikus megalapozására, majd megvizsgálja a Telcs és szerzőtársai [2013] által alkalmazott eljárásokat. Végül említést tesz egy hasonló megközelítéssel élő cikkről, és megfogalmaz néhány, a vizsgálat továbbfejlesztésére vonatkozó javaslatot. _____ In the March issue of Közgazdasági Szemle, Telcs et al. suggested a new approach to university ranking through preference ordering of applicants. The paper proposes new aspects to the implementation of this idea. It is shown that the model of these is equivalent to the ranking of alternatives based on paired comparisons, which reveals the debatable points in their hypotheses. The author reviews briefly the methods proposed in the literature, focusing on their axiomatic properties, and thoroughly examines the procedures of Telcs et al. [2013]. The paper presents an article which applied a similar approach and suggests some improvements to it.

Páros összehasonlításon alapuló pontozási eljárások monotonitása: önkonzisztencia és önkonzisztens monotonitás. Adalékok a pontozási eljárások axiomatikus tárgyalásához = Monotonicity of paired comparison-based ranking methods: self-consistency and self-consistent monotonicity. Contributions to an axiomatic analysis of scoring methods

A cikk a páros összehasonlításokon alapuló pontozási eljárásokat tárgyalja axiomatikus megközelítésben. A szakirodalomban számos értékelő függvényt javasoltak erre a célra, néhány karakterizációs eredmény is ismert. Ennek ellenére a megfelelő módszer kiválasztása nem egy-szerű feladat, a különböző tulajdonságok bevezetése elsősorban ebben nyújthat segítséget. Itt az összehasonlított objektumok teljesítményén érvényesülő monotonitást tárgyaljuk az önkonzisztencia és önkonzisztens monotonitás axiómákból kiindulva. Bemutatásra kerülnek lehetséges gyengítéseik és kiterjesztéseik, illetve egy, az irreleváns összehasonlításoktól való függetlenséggel kapcsolatos lehetetlenségi tétel is. A tulajdonságok teljesülését három eljárásra, a klasszikus pontszám eljárásra, az ezt továbbfejlesztő általánosított sorösszegre és a legkisebb négyzetek módszerére vizsgáljuk meg, melyek mindegyike egy lineáris egyenletrendszer megoldásaként számítható. A kapott eredmények új szempontokkal gazdagítják a pontozási eljárás megválasztásának kérdését. _____ The paper provides an axiomatic analysis of some scoring procedures based on paired comparisons. Several methods have been proposed for these generalized tournaments, some of them have been also characterized by a set of properties. The choice of an appropriate method is supported by a discussion of their theoretical properties. In the paper we focus on the connections of self-consistency and self-consistent-monotonicity, two axioms based on the comparisons of object's performance. The contradiction of self-consistency and independence of irrel-evant matches is revealed, as well as some possible reductions and extensions of these properties. Their satisfiability is examined through three scoring procedures, the score, generalised row sum and least squares methods, each of them is calculated as a solution of a system of linear equations. Our results contribute to the problem of finding a proper paired comparison based scoring method.

Svájci rendszerű sakk csapatversenyek rangsorolása (Ranking in Swiss system chess team tournaments)

A cikk a páros összehasonlításokon alapuló pontozási eljárásokat alkalmazza svájci rendszerű sakk csapatversenyek eredményének meghatározására. Bemutatjuk a nem körmérkőzéses esetben felmerülő kérdéseket, az egyéni és csapatversenyek jellemzőit, valamint a hivatalos lexikografikus rendezések hibáit. Axiomatikus alapokon rangsorolási problémaként modellezzük a bajnokságokat, definícióinkat összekapcsoljuk a pontszám, az általánosított sorösszeg és a legkisebb négyzetek módszerének tulajdonságaival. A javasolt eljárást két sakkcsapat Európa-bajnokság részletes elemzésével illusztráljuk. A végső rangsorok összehasonlítását távolságfüggvények segítségével végezzük el, majd a sokdimenziós skálázás révén ábrázoljuk azokat. A hivatalos sorrendtől való eltérés okait a legkisebb négyzetek módszerének dekompozíciójával tárjuk fel. A sorrendeket három szempont, az előrejelző képesség, a mintailleszkedés és a robusztusság alapján értékeljük, és a legkisebb négyzetek módszerének alkalmas eredménymátrixszal történő használata mellett érvelünk. ____ The paper uses paired comparison-based scoring procedures in order to determine the result of Swiss system chess team tournaments. We present the main challenges of ranking in these tournaments, the features of individual and team competitions as well as the failures of official lexicographical orders. The tournament is represented as a ranking problem, our model is discussed with respect to the properties of the score, generalised row sum and least squares methods. The proposed method is illustrated with a detailed analysis of the two recent chess team European championships. Final rankings are compared through their distances and visualized by multidimensional scaling (MDS). Differences to official ranking are revealed due to the decomposition of least squares method. Rankings are evaluated by prediction accuracy, retrodictive performance, and stability. The paper argues for the use of least squares method with an appropriate generalised results matrix favouring match points.

Fogalmak, módszerek. Páros összehasonlításokon alapuló rangsorolási módszerek (Ranking methods based on paired comparisons)

A páronként összehasonlított alternatívák rangsorolásának problémája egyaránt felmerül a szavazáselmélet, a statisztika, a tudománymetria, a pszichológia és a sport területén. A nemzetközi szakirodalom alapján részletesen áttekintjük a megoldási lehetőségeket, bemutatjuk a gyakorlati alkalmazások során fellépő kérdések kezelésének, a valós adatoknak megfelelő matematikai környezet felépítésének módjait. Kiemelten tárgyaljuk a páros összehasonlítási mátrix megadását, az egyes pontozási eljárásokat és azok kapcsolatát. A tanulmány elméleti szempontból vizsgálja a Perron-Frobenius tételen alapuló invariáns, fair bets, PageRank, valamint az irányított gráfok csúcsainak rangsorolásra javasolt internal slackening és pozíciós erő módszereket. A közülük történő választáshoz az axiomatikus megközelítést ajánljuk, ennek keretében bemutatjuk az invariáns és a fair bets eljárások karakterizációját, és kitérünk a módszerek vitatható tulajdonságaira. _____ The ranking of the alternatives or selecting the best one are fundamental issues of social choice theory, statistics, psychology and sport. Different solution concepts, and various mathematical models of applications are reviewed based on the international literature. We are focusing on the de¯nition of paired comparison matrix, on main scoring procedures and their relation. The paper gives a theoretical analysis of the invariant, fair bets and PageRank methods, which are founded on Perron-Frobenius theorem, as well as the internal slackening and positional power procedures used for ranking the nodes of a directed graph. An axiomatic approach is proposed for the choice of an appropriate method. Besides some known characterizations for the invariant and fair bets methods, we also discuss the violation of some properties, meaning their main weakness.

Ranking in Swiss system chess team tournaments

The paper uses paired comparison-based scoring procedures for ranking the participants of a Swiss system chess team tournament. We present the main challenges of ranking in Swiss system, the features of individual and team competitions as well as the failures of official lexicographical orders. The tournament is represented as a ranking problem, our model is discussed with respect to the properties of the score, generalized row sum and least squares methods. The proposed procedure is illustrated with a detailed analysis of the two recent chess team European championships. Final rankings are compared by their distances and visualized with multidimensional scaling (MDS). Differences to official ranking are revealed by the decomposition of least squares method. Rankings are evaluated by prediction accuracy, retrodictive performance, and stability. The paper argues for the use of least squares method with a results matrix favoring match points.

Understanding the relationship between the Talented Twenty program and college aspirations for high ranking students at a high priority school

Percentage plans such as the Talented Twenty program purport to assist and motivate high ranking students to attend college and grant access to higher education. This type of plan is particularly important to students enrolled in high priority schools who might not view themselves as potential college students. This study examined the relationship between Florida’s Talented Twenty program that begins intervention with juniors and the college aspirations for high ranking students at a high priority school. Numerous studies have established that increased levels of education lead to higher salaries, career mobility, and an increased quality of life (e.g., Bowen, 1997; Leslie & Brinkman 1988; Pascarella & Terenzini, 1991, Swail, 2000). Given the importance of students’ decisions regarding whether or not they will attend college, understanding how and when they make decisions about attending college is important for them, their parents, advisors, and educational administrators. This research examined students’ perceptions and insights via interviews. The overarching research question was: How do high ranking high school students attending a high priority school in a south Florida district perceive their college opportunities? Sixteen high ranking students, grades nine – 12 from a high priority school in Miami-Dade County participated in the study. Participants were identified by a school counselor and individual semi structured interviews were conducted at the school. Utilizing a student development theoretical framework developed by Hossler and Gallagher (1987) that centered on students’ predisposition, search strategies and choices, data were organized and emergent themes analyzed. The analysis of the data revealed that in alignment with the framework (a) parents were the strongest influence in the development of these students’ college aspirations, (b) these students formalized their higher education plans between eighth and 10th grade, (c) these students actively engaged in academic searches and learning opportunities that increased their chances to be admitted into college, and (d) there was no relationship between knowledge regarding the Talented Twenty program and their educational decisions. This study’s findings suggest that interventions and programs intended to influence the educational aspirations of students are more likely to succeed if they take place by the eighth or ninth grade.

Ranking of U.S Hospitality Graduate Programs: 2002-2003

Compared to other disciplines, graduate programs in hospitality and tourism management are in their infancy. Rapid changes within the business environment have prompted students in this field to drop a higher level of problem solving skills and scholarship. As the number of graduate programs in hospitality and tourism grows to meet this demand, the need also arises to evaluate each program k resources and contributions to graduate education. This study examines both masters and doctoral degree granting programs in hospitality and tourism management. All institutions were evaluated and ranked based on selected tangible criteria. Rankings of the programs, which were strictly based on their strengths and resources as reported by the surveyed institutions, are reported in this paper.

Developing brownfields ranking models using decision analytic methods

The redevelopment of Brownfields has taken off in the 1990s, supported by federal and state incentives, and largely accomplished by local initiatives. Brownfields redevelopment has several associated benefits. These include the revitalization of inner-city neighborhoods, creation of jobs, stimulation of tax revenues, greater protection of public health and natural resources, the renewal and reuse existing civil infrastructure and Greenfields protection. While these benefits are numerous, the obstacles to Brownfields redevelopment are also very much alive. Redevelopment issues typically embrace a host of financial and legal liability concerns, technical and economic constraints, competing objectives, and uncertainties arising from inadequate site information. Because the resources for Brownfields redevelopment are usually limited, local programs will require creativity in addressing these existing obstacles in a manner that extends their limited resources for returning Brownfields to productive uses. Such programs may benefit from a structured and defensible decision framework to prioritize sites for redevelopment: one that incorporates the desired objectives, corresponding variables and uncertainties associated with Brownfields redevelopment. This thesis demonstrates the use of a decision analytic tool, Bayesian Influence Diagrams, and related decision analytic tools in developing quantitative decision models to evaluate and rank Brownfields sites on the basis of their redevelopment potential.

Select, Link and Rank: Diversified Query Expansion and Entity Ranking using Wikipedia

A search query, being a very concise grounding of user intent, could potentially have many possible interpretations. Search engines hedge their bets by diversifying top results to cover multiple such possibilities so that the user is likely to be satisfied, whatever be her intended interpretation. Diversified Query Expansion is the problem of diversifying query expansion suggestions, so that the user can specialize the query to better suit her intent, even before perusing search results. We propose a method, Select-Link-Rank, that exploits semantic information from Wikipedia to generate diversified query expansions. SLR does collective processing of terms and Wikipedia entities in an integrated framework, simultaneously diversifying query expansions and entity recommendations. SLR starts with selecting informative terms from search results of the initial query, links them to Wikipedia entities, performs a diversity-conscious entity scoring and transfers such scoring to the term space to arrive at query expansion suggestions. Through an extensive empirical analysis and user study, we show that our method outperforms the state-of-the-art diversified query expansion and diversified entity recommendation techniques.

Generating Discriminative Objective Proposals via Submodular Ranking

Object recognition has long been a core problem in computer vision. To improve object spatial support and speed up object localization for object recognition, generating high-quality category-independent object proposals as the input for object recognition system has drawn attention recently. Given an image, we generate a limited number of high-quality and category-independent object proposals in advance and used as inputs for many computer vision tasks. We present an efficient dictionary-based model for image classification task. We further extend the work to a discriminative dictionary learning method for tensor sparse coding. In the first part, a multi-scale greedy-based object proposal generation approach is presented. Based on the multi-scale nature of objects in images, our approach is built on top of a hierarchical segmentation. We first identify the representative and diverse exemplar clusters within each scale. Object proposals are obtained by selecting a subset from the multi-scale segment pool via maximizing a submodular objective function, which consists of a weighted coverage term, a single-scale diversity term and a multi-scale reward term. The weighted coverage term forces the selected set of object proposals to be representative and compact; the single-scale diversity term encourages choosing segments from different exemplar clusters so that they will cover as many object patterns as possible; the multi-scale reward term encourages the selected proposals to be discriminative and selected from multiple layers generated by the hierarchical image segmentation. The experimental results on the Berkeley Segmentation Dataset and PASCAL VOC2012 segmentation dataset demonstrate the accuracy and efficiency of our object proposal model. Additionally, we validate our object proposals in simultaneous segmentation and detection and outperform the state-of-art performance. To classify the object in the image, we design a discriminative, structural low-rank framework for image classification. We use a supervised learning method to construct a discriminative and reconstructive dictionary. By introducing an ideal regularization term, we perform low-rank matrix recovery for contaminated training data from all categories simultaneously without losing structural information. A discriminative low-rank representation for images with respect to the constructed dictionary is obtained. With semantic structure information and strong identification capability, this representation is good for classification tasks even using a simple linear multi-classifier.

A novel ranking procedure for forecasting approaches using Data Envelopment Analysis

To compare the accuracy of different forecasting approaches an error measure is required. Many error measures have been proposed in the literature, however in practice there are some situations where different measures yield different decisions on forecasting approach selection and there is no agreement on which approach should be used. Generally forecasting measures represent ratios or percentages providing an overall image of how well fitted the forecasting technique is to the observations. This paper proposes a multiplicative Data Envelopment Analysis (DEA) model in order to rank several forecasting techniques. We demonstrate the proposed model by applying it to the set of yearly time series of the M3 competition. The usefulness of the proposed approach has been tested using the M3-competition where five error measures have been applied in and aggregated to a single DEA score.

Ranking de ciudades Latinoamericanas para la atracción de inversiones. INAI 2011

En las últimas décadas, la naturaleza y el alcance de los territorios —en particular, de las ciudades— se han transformado aceleradamente. La introducción de las perspectivas del desarrollo económico y del desarrollo humano sustentable ha dado lugar a una fuerte tendencia para que los territorios sean los principales jugadores de un escenario cada vez más global, que se ha visto acelerado por la masificación de las tecnologías de la información y las telecomunicaciones, la mayor tendencia a la liberalización del comercio, las menores restricciones a los flujos de capital, así como la localización de multinacionales con plantas globales. En este contexto, las ciudades se consolidan como un sistema interactivo e integrado a una red global que se relaciona con sus pares, que compite por conseguir recursos y que busca posicionarse en el escenario global como un nodo atractivo.

Ranking e qualidade educativa. Uma relação (im)provável? Um estudo em duas escolas públicas

Com o presente trabalho pretendemos compreender eventuais relações entre a posição de uma escola no ranking dos exames nacionais do 9.º ano do ensino básico e a qualidade do serviço educativo prestado. O estudo decorreu em dois agrupamentos de escolas com posições diferenciadas nas listas de ordenação (rankings) publicadas no ano de 2013. Recolhemos informação através de entrevista aos diretores dos órgãos de gestão, análise documental e inquérito por questionário. Adotámos metodologia qualitativa e quantitativa cujos dados foram triangulados e analisados à luz do quadro teórico. A posição bastante diferenciada entre os dois agrupamentos no ranking (249.º e 848.º, respetivamente) não parece estar relacionado com a prestação do serviço educativo, para além de a classificação ser a mesma nos relatórios de avaliação externa, as diferenças identificadas através dos questionários e das entrevistas são pontuais e pouco relevantes reforçando que efetivamente a posição no ranking diz muito pouco sobre o trabalho realizado nas escolas, sobre as suas dinâmicas e lógicas de ação; Abstract: Ranking and educational quality. An (un)likely relationship? A study in two public schools With this study we aim to understand possible links between the ranking position of two different school based on the 9th grade’s national exams results and the quality of educational services provided. The study took place in two groups of schools with different ranking positions published in 2013. We collect information through interviews to the directors of the management bodies, document analysis and questionnaire survey. We adopted qualitative and quantitative methodology and data were triangulated and analyzed in the light of the theoretical framework. The rather unique position between the two groups in the rankings (249 and 848, respectively) does not seem to be related to the provision of educational services, as well as the classification is the same in the external evaluation reports, the differences identified by questionnaires and interviews are timely and very relevant stressing that effectively ranking position says very little about the work done in schools, on its dynamics and logics of action.

RANKING DEL BIENESTAR SEGÚN CATEGORÍAS URBANAS EN LA ARGENTINA (2001)

Existe una estrecha relación entre bienestar y escala urbana. Considerando una combinación ponderada de indicadores socioeconómicos y ambientales tenemos que las Aglomeraciones de Tamaño Intermedio (ATIS) grandes (entre 400.000 y 999.999 habitantes) poseen el mayor nivel de bienestar, seguidas por las ATIS medias (entre 50.000 y 399.999). Las ciudades grandes (más de un millón de habitantes) recientemente se ubican en un tercer escalón. Cruzando la escala urbana y la región se evidencian mejor estas diferencias. La mejor conjunción corresponde a las ATIS medias patagónicas, mientras que la peor es la que reúne a las ATIS medias del Nordeste Argentino (NEA). Es decir que, más allá de la jerarquía urbana como factor de diferenciación, también deben considerarse los contextos regionales para intentar dimensionar más ajustadamente las diferencias del bienestar en Argentina. ABSTRACT A very close relationship exists between well-being and urban scale. If we consider a weighted combination of socioeconomic and environmental indicators, we find that bigger middle-sized cities (ATIS in Spanish) of between 400,000 and 1,000,000 inhabitants have the highest level of well-being, followed by middle ATIS, or cities, of 50,000 to 400,000 in population. The largest cities, those with a population of more than 1,000,000 ranked third. However, these differences are better evidenced by crossing urban scale and region. In other words, beyond urban hierarchy as a differentiation factor, the regional context must also be considered to more accurately gage differences in well-being.