Session 3: Applications to economy and social scienceshttp://hdl.handle.net/10256/6342024-03-28T10:06:40Z2024-03-28T10:06:40ZRegression analysis of compositional data when both the dependent variable and independent variable are componentsArk, L. Andries van derhttp://hdl.handle.net/10256/7022018-05-21T10:31:11Z2005-10-01T00:00:00ZRegression 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
2005-10-01T00:00:00ZGroup preference structures in AHP–group decision makingMoreno Jiménez, José MaríaSalvador, ManuelTurón Lanuza, Albertohttp://hdl.handle.net/10256/7012015-04-09T07:52:35Z2005-10-01T00:00:00ZGroup 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
2005-10-01T00:00:00ZAssessing the Precision of Compositional Data in a Stratified Double Stage Cluster Sample: Application to the Swiss Earnings Structure SurveyGraf, Moniquehttp://hdl.handle.net/10256/7002012-06-28T12:30:36Z2005-10-01T00:00:00ZAssessing 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
2005-10-01T00:00:00ZCompositional data analysis of vote shares in the 2001 Australian Federal electionChong, DerekDavidson, SinclairFarrell, LisaFry, Tim R.L.http://hdl.handle.net/10256/6992015-04-09T07:52:14Z2005-10-01T00:00:00ZCompositional 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