JMAT_V2_N2_RP1 Algorithmic Triangulation Metrics for Innovative Data Transformation: Defining the Application Process of the Tri–Squared Test James E. Osler II Journal on Mathematics 2277-5137 2 2 10 16 Cartesian Coordinates, Education Science, Eduscience, Instrument, Investigative, Model, Psychometrics, Triangle, Triangulation, Trichotomy, Tri–Squared, Vector, Statistics This monograph provides an epistemological rational for the transformative process of qualitative data into quantitative outcomes through the Tri–Squared Test introduced in an earlier i-Manager's Journal of Mathematics article. A research design geometric algorithmic model of the triangulation of the Transformative Trichotomy–Squared [Tri–Squared] Test as a means of informative inquiry is provided. This novel approach to data analysis simplifies the mixed methods approach to research design that involves the holistic combination and comparison of qualitative and quantitative data. A sequential mathematical model is provided that illustrates the entire process of Tri–Squared inquiry. April - June 2013 Copyright © 2013 i-manager publications. All rights reserved. i-manager Publications http://www.imanagerpublications.com/Article.aspx?ArticleId=2312