Measure for No Three-Factor Interaction Model in Three-Way Contingency Tables
Kouji Yamamoto, Kyoji Hori and Sadao Tomizawa
DOI : 10.3844/amjbsp.2010.17.22
Current Research in Biostatistics
Volume 1, 2010
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.
© 2010 Kouji Yamamoto, Kyoji Hori and Sadao Tomizawa. 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.