This monograph provides an epistemological rational for the novel “Tri–Factor Analysis” statistical model and metric. Thisnew statistic is an innovative and in–depth way of investigating the overall effectiveness of teaching and learning in digitallearning 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 amathematically–grounded analytical methodology designed to provide educators with quantitative tools, metrics, andanalytics that aid in pedagogical (and andragogical) investigation. The use of the Tri–Factor Analysis methodology alsoadds value to educational inquiry that has been formatted as an eduscientifically–engineered research design thatinvolves the critical analysis of overall classroom and individual learning.