Research Article Open Access

The Analysis of High Dimensional Contingency Table with Interactions

Keorapetse Sediakgotla1, Lesego Gabaitiri1, Keamogetse Setlhare1, Njoku Ola Ama1 and Dahud Kehinde Shangodoyin1
  • 1 University of Botswana, Botswana
American Journal of Applied Sciences
Volume 14 No. 8, 2017, 823-827

DOI: https://doi.org/10.3844/ajassp.2017.823.827

Submitted On: 12 December 2016 Published On: 30 August 2017

How to Cite: Sediakgotla, K., Gabaitiri, L., Setlhare, K., Ama, N. O. & Shangodoyin, D. K. (2017). The Analysis of High Dimensional Contingency Table with Interactions. American Journal of Applied Sciences, 14(8), 823-827. https://doi.org/10.3844/ajassp.2017.823.827

Abstract

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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Keywords

  • Contingency Table
  • Chi-Square Test Statistics
  • Interactions and Proportions