Research Article Open Access

Measure for No Three-Factor Interaction Model in Three-Way Contingency Tables

Kouji Yamamoto1, Kyoji Hori1 and Sadao Tomizawa1
  • 1 Tokyo University of Science, Japan

Abstract

Problem statement: For 2×2×K contingency tables, the measure is considered to represent the degree of departure from a log-linear model of No Three-Factor Interaction (NOTFI). We are interested in considering a similar measure for general I×J×K contingency tables. Approach: The present study proposed a measure to represent the degree of departure from the NOTFI model for I×J×K contingency tables. Also the approximate confidence interval for the proposed measure is given. Results: The proposed measure was applied and analyzed (1) for a 3×4×4 cross-classification data of dumping severity, hospital and operation which treat duodenal ulcer patients corresponding to removal of various amounts of the stomach and (2) for a 2×3×4 cross-classification data of experiment of animals (mouse and rat) on cancer (the tumor of leukemia and lymphoma) and tolazamide. Conclusion: The proposed measure is useful for comparing the degrees of departure from the NOTFI model in several tables.

Current Research in Biostatistics
Volume 1 No. 1, 2010, 17-22

DOI: https://doi.org/10.3844/amjbsp.2010.17.22

Submitted On: 17 February 2010 Published On: 30 June 2010

How to Cite: Yamamoto, K., Hori, K. & Tomizawa, S. (2010). Measure for No Three-Factor Interaction Model in Three-Way Contingency Tables. Current Research in Biostatistics, 1(1), 17-22. https://doi.org/10.3844/amjbsp.2010.17.22

  • 2,567 Views
  • 1,393 Downloads
  • 0 Citations

Download

Keywords

  • Diversity index
  • odds-ratio
  • power-divergence