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Algebraic method for independence model of two-way contingency tables


Mohammed, Nadia Faiq and Rakhimov, Isamiddin Sattarovich and Shitan, Mahendran (2017) Algebraic method for independence model of two-way contingency tables. Malaysian Journal of Mathematical Sciences, 11 (spec. Feb.). pp. 53-72. ISSN 1823-8343; ESSN: 2289-750X


The main purpose of the study is to propose an algebraic method to obtain the set of all independence models of I×J two-way contingency tables with the same row sums and column sums which is called fiber in algebraic statistics. This method involves solving a system of linear algebraic equations that only rely on row sums and column sums of the I×J two-way contingency table. The MATLAB software was used to solve this system. The effectiveness of the purposed method is illustrated by applying to a contingency table of agriculture teachers’ perception of secondary school agriculture.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Institute for Mathematical Research, Universiti Putra Malaysia
Notes: Special issue: Conference on Agriculture Statistics 2015 (CAS 2015)
Keywords: Contingency tables; Markov basis; Toric ideals; MATLAB
Depositing User: Nabilah Mustapa
Date Deposited: 27 Apr 2017 09:55
Last Modified: 27 Apr 2017 09:55
URI: http://psasir.upm.edu.my/id/eprint/51699
Statistic Details: View Download Statistic

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