Malaysian Journal of Mathematical Sciences, February 2017, Vol. 11(S)
Special Issue: Conference on Agriculture Statistics 2015 (CAS 2015)
Algebraic Method for Independence Model of Two-Way Contingency Tables
Mohammed, N. F., Rakhimov, I. S., and Shitan, M.
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
The main purpose of the study is to propose an algebraic method to obtain the set of all independence models of \(I \times J\) 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 \(I \times J\) 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 teachers0 perception of secondary school agriculture.
Keywords: Contingency tables, Markov basis, Toric ideals, MATLAB
