http://hdl.handle.net/10256/634 2025-08-03T00:06:06Z http://hdl.handle.net/10256/702 Regression analysis of compositional data when both the dependent variable and independent variable are components Ark, L. Andries van der‏ Mateu i Figueras, Glòria; Barceló i Vidal, Carles It is well known that regression analyses involving compositional data need special attention because the data are not of full rank. For a regression analysis where both the dependent and independent variable are components we propose a transformation of the components emphasizing their role as dependent and independent variables. A simple linear regression can be performed on the transformed components. The regression line can be depicted in a ternary diagram facilitating the interpretation of the analysis in terms of components. An exemple with time-budgets illustrates the method and the graphical features 2005-10-01T00:00:00Z http://hdl.handle.net/10256/701 Group preference structures in AHP–group decision making Moreno Jiménez, José María; Salvador, Manuel; Turón Lanuza, Alberto Mateu i Figueras, Glòria; Barceló i Vidal, Carles This paper presents a procedure that allows us to determine the preference structures (PS) associated to each of the different groups of actors that can be identified in a group decision making problem with a large number of individuals. To that end, it makes use of the Analytic Hierarchy Process (AHP) (Saaty, 1980) as the technique to solve discrete multicriteria decision making problems. This technique permits the resolution of multicriteria, multienvironment and multiactor problems in which subjective aspects and uncertainty have been incorporated into the model, constructing ratio scales corresponding to the priorities relative to the elements being compared, normalised in a distributive manner (wi = 1). On the basis of the individuals’ priorities we identify different clusters for the decision makers and, for each of these, the associated preference structure using, to that end, tools analogous to those of Multidimensional Scaling. The resulting PS will be employed to extract knowledge for the subsequent negotiation processes and, should it be necessary, to determine the relative importance of the alternatives being compared using anyone of the existing procedures 2005-10-01T00:00:00Z http://hdl.handle.net/10256/700 Assessing the Precision of Compositional Data in a Stratified Double Stage Cluster Sample: Application to the Swiss Earnings Structure Survey Graf, Monique Mateu i Figueras, Glòria; Barceló i Vidal, Carles Precision of released figures is not only an important quality feature of official statistics, it is also essential for a good understanding of the data. In this paper we show a case study of how precision could be conveyed if the multivariate nature of data has to be taken into account. In the official release of the Swiss earnings structure survey, the total salary is broken down into several wage components. We follow Aitchison's approach for the analysis of compositional data, which is based on logratios of components. We first present diferent multivariate analyses of the compositional data whereby the wage components are broken down by economic activity classes. Then we propose a number of ways to assess precision 2005-10-01T00:00:00Z http://hdl.handle.net/10256/699 Compositional data analysis of vote shares in the 2001 Australian Federal election Chong, Derek; Davidson, Sinclair; Farrell, Lisa; Fry, Tim R.L. Mateu i Figueras, Glòria; Barceló i Vidal, Carles First application of compositional data analysis techniques to Australian election data 2005-10-01T00:00:00Z