Independence in contingency tables using simplicial geometry
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33155227" target="_blank" >RIV/61989592:15310/15:33155227 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/03610926.2013.824980" target="_blank" >http://dx.doi.org/10.1080/03610926.2013.824980</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/03610926.2013.824980" target="_blank" >10.1080/03610926.2013.824980</a>
Alternative languages
Result language
angličtina
Original language name
Independence in contingency tables using simplicial geometry
Original language description
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 nearest independent table is identified as that obtained by the product of geometric marginals, which do not coincide with the standard marginals, except in the independent case. The original probability table is decomposed into orthogonal tables, the independent andthe interaction tables. The underlying model is log-linear, and a procedure to test independence of a contingency table, based on a multinomial simulation, is developed. Its performance is studied on an illustrative example.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Communications in Statistics - Theory and Methods
ISSN
0361-0926
e-ISSN
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Volume of the periodical
44
Issue of the periodical within the volume
18
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
3978-3996
UT code for WoS article
000362340800014
EID of the result in the Scopus database
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