Person: Contreras Rubio, Ignacio
Profesor/a Titular de Universidad
Universidad Pablo de Olavide
Economía, Métodos Cuantitativos e Historia Económica
Métodos Cuantitativos para la Economía y la Empresa
Now showing 1 - 8 of 8
PublicationA DEA-inspired model to evaluate the efficiency of education in OECD countries(Universidad Pablo de Olavide, 2021-06-01) Contreras Rubio, Ignacio; Dominguez-Gil, CarlotaIn this paper empirical application to the study about the efficiency of the performance of the educational systems across countries is developed. With the information published in the PISA 2015, Data Envelopment Analysis methodology is considered to evaluate the efficiency in the use of the resources devoted to education by OECD countries. Similar to previous studies, the main resources needed for learning, financial, human resources, material and time have been considered. Alternatively to previous proposals, the mean scores have not been included as the output of the process. Instead of that, to quantify the results of the learning process, the percentages of students in each proficiency level of the PISA test have been computed.An ad hoc model based on the Additive DEA-model is proposed, adapting the formulation to the particular features of the vector of outputs considered. Considering that the aggregate value of output is fixed and that the relative weight of the outputs differs, inefficient units improve their performance by reallocating that fixed value among different outputs, moving units from the less valued to the most valued ones. PublicationSustainability measurement with a non-compensatory approach in Cuban nature-based tourism(Taylor & Francis, 2022-07-17) Pérez-León, V.E.; Ramírez-Hurtado, José M.; Contreras Rubio, IgnacioThis paper aims to assess the sustainability of tourism destinations. To this end, various methodologies have been considered, among which composite indicators constitutes a valuable tool. A non-compensatory methodology has been applied in order to address the problem caused by the compensation of low values in certain indicators of a particular destination with high scores in other aspects. The proposed methodology provides a clear ranking of units and permits a post-optimization analysis for the design of strategies with a view to the improvement of the relative position regarding the sustainability of a destination. It is applied in an island context, for which tourism represents its main economic activity and, therefore, its dependence on natural, social, economic, and cultural resources, among others, for its development. The analysis demonstrates the possibility associated with each destination to improve its position, acting in just a single indicator while maintaining major values in the remaining indicators, this being a more restrictive methodology in sustainability assessment. The originality is the methodology being supported by the combination of the non-compensatory approach with participative methods to include the considerations of the stakeholders throughout the weights in a regional initiative in the Caribbean Zone of Sustainable Tourism. The findings reveal that the economic aspects receive more importance than those in the Cuban context that are social and patrimonial. The method can be applied to other destinations and regions, allowing the inclusion of external and reducing the absence of incomparability issues in ranking destinations supporting managerial decisions. PublicationA bargaining approach to determine common weights in DEA(Springer, 2021) Contreras Rubio, Ignacio; Lozano, Sebastián; Hinojosa, MiguelIn this paper Data Envelopment Analysis (DEA) is used to assess the relative efficiency of a set of decision-making units (DMUs). Each DMU is evaluated on the basis of the ratio of its weighted output (i.e. virtual output) over its weighted input (i.e. virtual input). Conventional DEA models allow each DMU to select the weighting scheme which optimizes its own evaluation. However, this total flexibility has drawbacks and in certain contexts may not be desirable. In such cases, it may be more appropriate to consider a common set of weights to benchmark and rank the alternatives using a common platform. In this paper, bargaining theory is used to determine a common set of weights in DEA. The advantage of using a bargaining approach is that the weights emerge bottom-up as the result of an agreement between the DMUs, instead of using an exogenous criterion imposed from above. The novelty of the proposed approach is that we consider two players per DMU, one whose utility function corresponds to its virtual input, and another whose utility is the negative of the virtual input. Thus, each DMU wants to choose the output weights so as to maximize its virtual output, and the input weights so as to minimize its virtual input. In this way, all DMU try to appear under the best possible light but the input and output weights are common and agreed. Models based on the Nash and the Kalai–Smorodinsky solutions are formulated and an application to a supplier selection problem is presented. PublicationAn Operational Non-compensatory Composite Indicator: Measuring Sustainable Tourism in Andalusian Urban Destinations(Elseiver, 2019-05) Lozano-Oyola, Macarena; Contreras Rubio, Ignacio; Blancas Peral, Francisco JavierThe use of sustainable tourism composite indicators to evaluate and plan tourist activity is a widely accepted international practice. However, there is not unanimity with respect to the most appropriate aggregation methodology to define these global measurements. In this point, the methods based on the use of multicriteria decision-making techniques are considered the most suitable. Non-compensatory multicriteria aggregation procedures stand out among them. The composite indicator using these procedures has a main problem: the computational aspects. To solve this problem, in this paper we define a new computational approach to the non-compensatory composite indicator problem based on the construction of a mixed-integer linear programming model. The analysis of the binary variables introduced facilitates the disaggregation of the composite indicator to explain the position of each destination, to identify benchmarks and to formulate action strategies with objective goals. To illustrate the potential of the proposed procedure, an empirical study is presented for the case of the urban destinations of Andalusia (Spain). PublicationA multiplicative composite indicator to evaluate educational systems in OECD countries(Taylor & Francis Online, 2022) Dominguez-Gil, Carlota; Segovia González, María Manuela; Contreras Rubio, IgnacioIn the evaluation of any political strategy, it is essential to carry out the collection and analysis of the available data. The presentation of a complex phenomenon by means of synthetic measures can improve both the political actors’ understanding of the situation and the design of new measures. In this paper, we deal with the problem of the construction of a multidimensional composite indicator for the evaluation of educational systems in OECD countries. In our proposal, not only are those indicators included that measure the academic outcomes, but also a group of indicators that measures the social dimension of the educational system. A variation of a methodology based on Data Envelopment Analysis is developed to construct a composite multiplicative indicator that enables inter-temporal comparison and the detection of the sources of the variation. PublicationA Composite Indicator to Compare the Performance of Male and Female Students in Educational Systems(Springer, 2023) Segovia González, María Manuela; Contreras Rubio, IgnacioComposite indicators have proved to be a suitable tool for the evaluation of complex phenomena, by enabling a large amount of information to be concentrated in a unique value. In this paper, a methodology based on geometric aggregation and free-selection of weights is proposed for the evaluation of the educational systems of OECD countries. In an effort to carry out a global evaluation, not only is a group of indicators considered to measure the academic outcomes, but also a group of indicators that measure the social dimension of the educational system and the self-perceptions of the students regarding their academic stage. The features of the proposed methodology enable the results for male and female students to be compared separately, since not only identify the contribution of each aspect to the global indicator, but also ascertain the sources of the differences between the values obtained for the male and female subgroups. PublicationAn assessment of the efficiency of Spanish schools: evaluating the influence of the geographical, managerial, and socioeconomic features.(Wiley, 2020) Segovia González, María Manuela; Domínguez, Carlota; Contreras Rubio, IgnacioThe aim of the present paper is to explore the efficiency of Spanish schools while simultaneously considering data envelopment analysis (DEA) and multivariate analysis. Test scores from the Program for International Assessment reports are used as outputs while the resources of each institution are considered as inputs to the analysis. The methodology utilized determines the DEA efficiencies under various input/output combinations and the results are interpreted through the application of factor analysis and property-fitting techniques. The objective of the study is to identify the strengths and weaknesses of each type of school and the connections with the way in which the efficiency is obtained. In the light of the results, the study concludes that there exist differences related with two of the criteria considered: the type of management of the schools and the parental socioeconomic level of the students. However, no differences appear when the geographical location of the institutions is considered to characterize the entities. PublicationA DEA cross-efficiency approach based on bargaining theory(Taylor & Francis, 2021) Contreras Rubio, Ignacio; Lozano, Sebastián; Hinojosa, MiguelCross-efficiency evaluation is a Data Envelopment Analysis (DEA) approach that enables the efficiency and ranking of Decision-Making Units (DMUs) to assess the possibility of idiosyncratic weighting schemes. However, the existence of multiple optimal weights in multiplier DEA models implies the non-uniqueness of the cross-efficiency evaluation. This is normally dealt with using secondary goals that enable the optimal weighting vectors to be chosen. In this paper, a new method to discriminate between optimal weighting profiles is proposed based on bargaining problems and the Kalai-Smorodinsky solution. In this approach, the input and output multipliers are agreed upon by the peer DMUs.