Título:
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Compositional hypotheses of subcompositional stability and specific perturbation change and their testing
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Autor/a:
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Aitchison, John; Ng, K.W.
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Otros autores:
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Thió i Fernández de Henestrosa, Santiago; Martín Fernández, Josep Antoni; Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada |
Abstract:
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In standard multivariate statistical analysis common hypotheses of interest concern changes in mean vectors and subvectors. In compositional data analysis it is now well established that compositional change is most readily described in terms of the simplicial operation of perturbation and that subcompositions replace the marginal concept of subvectors. To motivate the statistical developments of this paper we present two challenging compositional problems from food production processes.Against this background the relevance of perturbations and subcompositions can beclearly seen. Moreover we can identify a number of hypotheses of interest involvingthe specification of particular perturbations or differences between perturbations and also hypotheses of subcompositional stability. We identify the two problems as being the counterpart of the analysis of paired comparison or split plot experiments and of separate sample comparative experiments in the jargon of standard multivariate analysis. We then develop appropriate estimation and testing procedures for a complete lattice of relevant compositional hypotheses |
Abstract:
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Geologische Vereinigung; Universitat de Barcelona, Equip de Recerca Arqueomètrica; Institut d’Estadística de Catalunya; International Association for Mathematical Geology; Patronat de l’Escola Politècnica Superior de la Universitat de Girona; Fundació privada: Girona, Universitat i Futur. |
Fecha de creación:
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01-04-2009 |
Materia(s):
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-Estadística matemàtica -Tests d'hipòtesi (Estadística) |
Derechos:
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Tots els drets reservats |
Tipo de documento:
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Objeto de conferencia |
Editor:
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Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada
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