Comparison of Triangle and Tetrad Discrimination Methodology in an Applied Manner
Burns, S., M. P. Penfield, A. M. Saxton, and C. R. Luckett.  2018.  Food Quality & Preference.

Abstract:
Based on published research, the tetrad test possesses statistical advantages over the more traditional triangle method. More testing is needed to confirm these in an applied, industrial approach on a wider range of products. Over thirty products were tested using both triangles and tetrads in order to compare the two methods. The products tested ranged from canned vegetables and fresh fruits to deli meats and baked goods. After testing, inconsistencies were found within and across product categories. Significant differences (p < 0.05) were seen with the triangle method but not the tetrad for some products. A similar pattern was seen when effect size and test power were calculated. In eight of the experiments, the reduction in effect size for the tetrad offset the statistical power advantage, making the triangle more beneficial for these products. Participants also noted that the product being tested effected their impression of test difficulty in multiple experiments.