The Analysis of High Dimensional Contingency Table with Interactions
- 1 University of Botswana, Botswana
Copyright: © 2020 Keorapetse Sediakgotla, Lesego Gabaitiri, Keamogetse Setlhare, Njoku Ola Ama and Dahud Kehinde Shangodoyin. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
This paper is focused on the analysis of categorical data in a 2 × c × K contingency table. The theoretical frame work of a 2 × c design is extended to 2 × c × K with provision for testing interactions among subsets of either lower or upper columns of the designated table. The developed chi square tests for the total interactions as well as for the partitions are shown to be significant and the degrees of freedom additive.
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- Contingency Table
- Chi-Square Test Statistics
- Interactions and Proportions