Simplicial regression. The normal model

Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Simplicial regression. The normal model
Original language description
Regression models with compositional response have been studied from the beginning of the log-ratio approach for analysing compositional data. These early approaches suggested the statistical hypothesis of logistic-normality of the compositional residuals to test the model and its coecients. Also, the Dirichlet distribution has been proposed as an alternative model for compositional residuals, but it leads to restrictive and not easy-to-use regressions. Recent advances on the Euclidean geometry of the simplex and on the logistic-normal distribution allow re-formulating simplicial regression with logistic-normal residuals. Estimation of the model is presented as a least-squares problem in the simplex and is formulated in terms of orthonormal coordinates. This estimation decomposes into simple linear regression models which can be assessed independently. Marginal normality of the coordinate-residuals success to check influence of covariables using standard regression tests. Examples illu
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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