International Journal of Computational Intelligence Systems

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Volume 4, Issue 5, September 2011, Pages 1080 - 1089

Residual as Linear Sum of Matrix Determinants in Multiway Contingency Tables

Authors
Shusaku Tsumoto, Shoji Hirano
Corresponding Author
Shusaku Tsumoto
Available Online 1 September 2011.
DOI
10.2991/ijcis.2011.4.5.31How to use a DOI?
Keywords
Pearson Residual, Determinants, Multiway Contingency Table, Information Granules
Abstract

A Pearson residual is defined as a residual between an observed value and expected one of each cell in a contingency table, which measures the degree of statistical dependence of two attribute-value pairs corresponding to the cell. This paper shows that this residual is decomposed into a linear sum of determinants of 2 2 subtables, which means that the geometrical nature of the residuals can be viewed from grasmmanian algebra.

Copyright
© 2011, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
International Journal of Computational Intelligence Systems
Volume-Issue
4 - 5
Pages
1080 - 1089
Publication Date
2011/09/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.2011.4.5.31How to use a DOI?
Copyright
© 2011, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Shusaku Tsumoto
AU  - Shoji Hirano
PY  - 2011
DA  - 2011/09/01
TI  - Residual as Linear Sum of Matrix Determinants in Multiway Contingency Tables
JO  - International Journal of Computational Intelligence Systems
SP  - 1080
EP  - 1089
VL  - 4
IS  - 5
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2011.4.5.31
DO  - 10.2991/ijcis.2011.4.5.31
ID  - Tsumoto2011
ER  -