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Independence in contingency tables using simplicial geometry

Autor
Egozcue, J. J.; Pawlowsky, V.; Templ, M.; Hron, K.
Tipus d'activitat
Article en revista
Revista
Communications in statistics. Theory and methods
Data de publicació
2015-09-01
Volum
44
Número
8
Pàgina inicial
3978
Pàgina final
3996
DOI
https://doi.org/10.1080/03610926.2013.824980 Obrir en finestra nova
Projecte finançador
ANALISIS ESTADISTICO DE DATOS COMPOSICIONALES Y OTROS DATOS CON ESPACIO MUESTRAL RESTRINGIDO
Métodos Estadísticos en Espacios Restringidos (Metrics)
Statistical MEthods in resTRICted spaceS
Resum
Frequently, contingency tables are generated in a multinomial sampling. Multinomial probabilities are then organized in a table assigning probabilities to each cell. A probability table can be viewed as an element in the simplex. The Aitchison geometry of the simplex identifies independent probability tables as a linear subspace. An important consequence is that, given a probability table, the nearest independent table is obtained by orthogonal projection onto the independent subspace. The neare...
Paraules clau
Association, Compositional data, Compositional data-analysis, Distance, Euclidean geometry, Eye, Genetic-determinants, Hair, Independence test, Log-linear model, Logratio analysis, Orthogonal decomposition, Pearson chi(2) test, Transformations, Zeros
Grup de recerca
COSDA-UPC - COmpositional and Spatial Data Analysis

Participants