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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • 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

  • 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