JMAT_V6_N1_RP1 James Edward Osler II Journal on Mathematics 2277-5137 6 1 1 17 Analysis, Holistic, MULTICOVA, Outcomes, Post Hoc, Research, Results, Statistics, Taxonomy, Topology, Tri–Center Analysis, Tri–Cubed Tri–Coordinate Meta–Analysis Test, The Trimetric Tri–Squared Test, TRICOM, TRICOVA, TRIMOD, TRINOVA, Trichotomous, Trichotomous Calculations, Trichotomous Categorical Variables, Trichotomous Outcome Variables, Trichotomous Progression Analysis, Triology, Triostatistics, Tri–Squared, Tri–Squared Test, Tri–Squared Mean Cross Comparative Analysis, Tri–Symmetrical Omnibus Tests, Triadic, Tripartite, Triplex, Trivariant Analysis This monograph provides an epistemological rational for a novel science grounded in trichotomous statistical analysis metrics. Triology is the study of the trifold nature of phenomena. It has its foundation in the mathematical “Law of Trichotomy”. Triology is measured using the Tri–Squared Statistic. Advanced post hoc measurement of Triology is conducted using Triostatistics (or more simply “Triostat”) is the application of Post Hoc measures to the statistically significant outcomes of the Trichotomous Squared Test. Triology involves a variety of concepts that are defined using robust and rigorous calculations provided in this paper. It uses its computations to provide further insight on the inner workings of the threefold aspects of nature. The topology and taxonomy of the triology are covered in detail along with Tri–Squared and Triostatistics procedures. January - March 2017 Copyright © 2017 i-manager publications. All rights reserved. i-manager Publications http://www.imanagerpublications.com/Article.aspx?ArticleId=11398