JET_V11_N1_RP2 James E. Osler II Journal of Educational Technology 2230 - 7125 11 1 22 29 Acrophase, Antimode, Batiphase, Categorical, Investigation, Mathematical Model, Mean, Median, Mode, Normal Curve, Normal Distribution, Outcomes, Post Hoc, Research, Results, Trichotomous, Trichotomous Calculations, Tri–Squared, Tri–Squared Test, Statistics, and Variables This monograph provides an epistemological rational for the design of a novel post hoc statistical measure called “Tri–Center Analysis”. This new statistic is designed to analyze the post hoc outcomes of the Tri–Squared Test. In Tri–Center Analysis trichotomous parametric inferential parametric statistical measures are calculated from statistically significant Tri–Squared Test data. The Tri–Squared Test was first introduced in i-manager’s Journal on Mathematics as a qualitative to quantitative transformative mixed methods data analysis procedure. Tri–Center Analysis is an advanced statistical post hoc holomorphic that rigorously examines trichotomous investigative inquiry outcomes as in–depth parametric relations. April - June 2014 Copyright & copy; 2014 i-manager publications. All rights reserved. i-manager Publications http://www.imanagerpublications.com/Article.aspx?ArticleId=2671