Item


Statistical Modelling of Compositional Problems Involving Finite Probability Distributions

Finite probability distributions and compositional data are mathematically similar, consisting ofD-dimensional positive vectors with sum 1. Despite this similarity the meaningful forms of analysisin these different areas may require substantially different concepts and statistical modelling. Thispaper highlights these differences, but also poses the question of how such differences may contributeto understanding in the different areas. At CoDa workshops we have become so accustomed to, evenobsessed with, modelling all compositional data problems within a simplex sample space togetherwith its algebraic-geometric Hilbert space structure. The context of this Hilbert sample space iscertainly often relevant to the formulation of a number of compositional data problems, but itsmathematical elegance should not override appropriate meaningful statistical modelling to resolvethe real compositional problem. In this paper I illustrate some relevant modelling by considerationof how a variety of persons differ in their ability to perform inferential tasks particularly in theprocess of differential diagnosis

Universitat de Girona. Departament d鈥橧nform脿tica i Matem脿tica Aplicada

Other contributions: Universitat de Girona. Departament d鈥橧nform脿tica i Matem脿tica Aplicada
Author: Aitchison, John
Abstract: Finite probability distributions and compositional data are mathematically similar, consisting ofD-dimensional positive vectors with sum 1. Despite this similarity the meaningful forms of analysisin these different areas may require substantially different concepts and statistical modelling. Thispaper highlights these differences, but also poses the question of how such differences may contributeto understanding in the different areas. At CoDa workshops we have become so accustomed to, evenobsessed with, modelling all compositional data problems within a simplex sample space togetherwith its algebraic-geometric Hilbert space structure. The context of this Hilbert sample space iscertainly often relevant to the formulation of a number of compositional data problems, but itsmathematical elegance should not override appropriate meaningful statistical modelling to resolvethe real compositional problem. In this paper I illustrate some relevant modelling by considerationof how a variety of persons differ in their ability to perform inferential tasks particularly in theprocess of differential diagnosis
Document access: http://hdl.handle.net/2072/273652
Language: eng
Publisher: Universitat de Girona. Departament d鈥橧nform脿tica i Matem脿tica Aplicada
Rights: Tots els drets reservats
Subject: Estad铆stica matem脿tica -- Congressos
Mathematical statistics -- Congresses
An脿lisi multivariable -- Congressos
Multivariate analysis -- Congresses
Distribuci贸 (Teoria de la probabilitat) -- Congressos
Distribution (Probability theory) -- Congresses
Title: Statistical Modelling of Compositional Problems Involving Finite Probability Distributions
Type: info:eu-repo/semantics/conferenceObject
Repository: Recercat

Subjects

Authors