Introducing Trinova: �Trichotomous Nomographical Variance� a Post Hoc Advanced Statistical Test of Between and Within Group Variances of Trichotomous Categorical and Outcome Variables of a Significant Tri�Squared Test

Abstract

This monograph provides an epistemological rational for the Trinova Post Hoc test methodology. Trinova is an in–depth[Trichotomous Nomographical Variance] statistical procedure for the internal testing of the transformative process ofqualitative data, into quantitative outcomes through the Tri–Squared Test first introduced in i-manager’s Journal onMathematics, and further detailed in the Journal on Educational Technology, Journal on School EducationalTechnology, and in Journal on Educational Psychology. Trinova is an advanced statistical measure that is designed tocheck the validity and reliability of a Tri–Squared Test. This is a novel approach to advanced statistical post hocTri–Squared data analysis. It adds considerable value to the mixed methods approach of research design that involvesthe holistic combination and comparison of qualitative and quantitative data outcomes. A sequential Trinovamathematical model is provided, that illustrates the entire process of advanced statistical Trichotomous inquiry.