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Regression for compositional data by using distributions defined on the hypersphere

Scealy, Janice; Welsh, Alan

Description

Compositional data can be transformed to directional data by the square-root transformation and then modelled by using distributions defined on the hypersphere. One advantage of this approach is that zero components are catered for naturally in the models. The Kent distribution for directional data is a good candidate model because it has a sufficiently general covariance structure. We propose a new regression model which models the mean direction of the Kent distribution as a function of a...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/68407
Source: Journal of the Royal Statistical Society Series B
DOI: 10.1111/j.1467-9868.2010.00766.x

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