Algebraic method for independence model of two-way contingency tables

• Main Authors: Mohammed, Nadia Faiq, Rakhimov, Isamiddin Sattarovich, Shitan, Mahendran
• Format: Article
• Language: English
• Published: Institute for Mathematical Research, Universiti Putra Malaysia 2017
• Online Access: http://psasir.upm.edu.my/id/eprint/51699/1/4.%20nadia.pdf; http://psasir.upm.edu.my/id/eprint/51699/; http://einspem.upm.edu.my/journal/fullpaper/vol11sfeb/4.%20nadia.pdf

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.