Algebraic method for independence model of two-way contingency tables
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 tha...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51699/1/4.%20nadia.pdf |
| _version_ | 1796975589813387264 |
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| author | Mohammed, Nadia Faiq Rakhimov, Isamiddin Sattarovich Shitan, Mahendran |
| author_facet | Mohammed, Nadia Faiq Rakhimov, Isamiddin Sattarovich Shitan, Mahendran |
| author_sort | Mohammed, Nadia Faiq |
| collection | UPM |
| description | 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. |
| first_indexed | 2024-03-06T09:13:41Z |
| format | Article |
| id | upm.eprints-51699 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:13:41Z |
| publishDate | 2017 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| record_format | dspace |
| spelling | upm.eprints-516992017-04-27T09:55:43Z http://psasir.upm.edu.my/id/eprint/51699/ Algebraic method for independence model of two-way contingency tables Mohammed, Nadia Faiq Rakhimov, Isamiddin Sattarovich Shitan, Mahendran 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. Institute for Mathematical Research, Universiti Putra Malaysia 2017 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51699/1/4.%20nadia.pdf 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 http://einspem.upm.edu.my/journal/fullpaper/vol11sfeb/4.%20nadia.pdf |
| spellingShingle | Mohammed, Nadia Faiq Rakhimov, Isamiddin Sattarovich Shitan, Mahendran Algebraic method for independence model of two-way contingency tables |
| title | Algebraic method for independence model of two-way contingency tables |
| title_full | Algebraic method for independence model of two-way contingency tables |
| title_fullStr | Algebraic method for independence model of two-way contingency tables |
| title_full_unstemmed | Algebraic method for independence model of two-way contingency tables |
| title_short | Algebraic method for independence model of two-way contingency tables |
| title_sort | algebraic method for independence model of two way contingency tables |
| url | http://psasir.upm.edu.my/id/eprint/51699/1/4.%20nadia.pdf |
| work_keys_str_mv | AT mohammednadiafaiq algebraicmethodforindependencemodeloftwowaycontingencytables AT rakhimovisamiddinsattarovich algebraicmethodforindependencemodeloftwowaycontingencytables AT shitanmahendran algebraicmethodforindependencemodeloftwowaycontingencytables |