A tale of two logits, compositional data analysis and zero observations
dc.contributor.author
dc.contributor.editor
dc.date.accessioned
2008-05-05T07:16:09Z
dc.date.available
2008-05-05T07:16:09Z
dc.date.issued
2005-10
dc.identifier.citation
Fry, T.R.L.; Chong, D. 'A tale of two logits, compositional data analysis and zero observations' a CODAWORK’05. Girona: La Universitat, 2005 [consulta: 5 maig 2008]. Necessita Adobe Acrobat. Disponible a Internet a: http://hdl.handle.net/10256/662
dc.identifier.isbn
84-8458-222-1
dc.identifier.uri
dc.description.abstract
The application of compositional data analysis through log ratio trans-
formations corresponds to a multinomial logit model for the shares themselves.
This model is characterized by the property of Independence of Irrelevant Alter-
natives (IIA). IIA states that the odds ratio in this case the ratio of shares
is invariant to the addition or deletion of outcomes to the problem. It is exactly
this invariance of the ratio that underlies the commonly used zero replacement
procedure in compositional data analysis. In this paper we investigate using the
nested logit model that does not embody IIA and an associated zero replacement
procedure and compare its performance with that of the more usual approach of
using the multinomial logit model. Our comparisons exploit a data set that com-
bines voting data by electoral division with corresponding census data for each
division for the 2001 Federal election in Australia
dc.description.sponsorship
Geologische Vereinigung; 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; Càtedra Lluís Santaló d’Aplicacions de la Matemàtica; Consell Social de la Universitat de Girona; Ministerio de Ciencia i Tecnología.
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada
dc.rights
Tots els drets reservats
dc.subject
dc.title
A tale of two logits, compositional data analysis and zero observations
dc.type
info:eu-repo/semantics/conferenceObject
dc.rights.accessRights
info:eu-repo/semantics/openAccess