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Updated: Mar 6, 2026

Diagonal Method to Measure Synergy Among Any Number of Drugs
Published on: June 21, 2018
Utilization of chi-square statistics for screening adverse drug-drug interactions in spontaneous reporting systems
Masahiko Gosho1, Kazushi Maruo2, Keisuke Tada3
1Department of Clinical Trial and Clinical Epidemiology, Faculty of Medicine, University of Tsukuba, 1-1-1, Tennodai, Tsukuba, Ibaraki, 305-8575, Japan. mgosho@md.tsukuba.ac.jp.
Purpose:
We proposed a statistical criterion to detect drug-drug interactions causing adverse drug reactions in spontaneous reporting systems.
Methods:
The used criterion quantitatively measures the discrepancy between the observed and expected number of adverse events via chi-square statistics. We compared the performance of our method with that of Norén et al. (Stat Med 2008; 27 (16): 3057-3070) through a simulation study.
Results:
When the number of events for a combination of two drugs was equal to or lower than two, the false positive rate for our method ranged from 0.01 to 0.08, whereas the rate for Norén's method ranged from 0.01 to 0.06. The sensitivity for our method ranged from 0.09 to 0.29, whereas the sensitivity for Norén's method ranged from 0.03 to 0.24. The area-under-the-receiver operating characteristic curve for our method was significantly larger than that for Norén's methods regardless of simulation settings. The proposed method was also applied to the Food and Drug Administration Adverse Event Reporting System database, and a recognized drug-drug interaction was detected.
Conclusions:
The proposed criterion controlled false positives at an acceptable level and had higher sensitivity than that of Norén's method had when events were rare.
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