@article {10.3844/amjbsp.2010.17.22,
article_type = {journal},
title = {Measure for No Three-Factor Interaction Model in Three-Way Contingency Tables},
author = {Yamamoto, Kouji and Hori, Kyoji and Tomizawa, Sadao},
volume = {1},
year = {2010},
month = {Jun},
pages = {17-22},
doi = {10.3844/amjbsp.2010.17.22},
url = {https://thescipub.com/abstract/amjbsp.2010.17.22},
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.},
journal = {Current Research in Biostatistics},
publisher = {Science Publications}
}