JELE_V5_N4_RP1 James Edward Osler II Journal on Electronics Engineering 2249 – 0760 5 4 7 18 Analytics, Digital Learning Environments, Digital Learning Ecosystems, Instrument, Investigation, Invariant, Mathematical Model, Outcomes, Post Hoc, Research, Static Test, Statistics, Trichotomy, Tri–Coordinate Product, Tri–Factor, Triple–I, Tri–Squared Test This monograph provides an epistemological rational for the novel “Tri–Factor Analysis” statistical model and metric. This new statistic is an innovative and in–depth way of investigating the overall effectiveness of teaching and learning in digital learning environments and Ecosystems. Tri–Factor Analysis is grounded in the Eduscience (Osler, 2013a) Tri–Factors of: Performance, Efficacy, and Content. Along with the Tri–Squared Test (first introduced in the Journal on Mathematics) it is a mathematically–grounded analytical methodology designed to provide educators with quantitative tools, metrics, and analytics that aid in pedagogical (and andragogical) investigation. The use of the Tri–Factor Analysis methodology also adds value to educational inquiry that has been formatted as an eduscientifically–engineered research design that involves the critical analysis of overall classroom and individual learning in digital learning Ecosystems. June – August 2015 Copyright © 2015 i-manager publications. All rights reserved. i-manager Publications http://www.imanagerpublications.com/Article.aspx?ArticleId=3540