Introducing TRICOVA:� Trichotomous Covariance� A Post Hoc Advanced Statistical Test of Qualitative and Quantitative Group Variances to Determine the Strength of the Relationships Between Variables of the Tri�Squared Test

Abstract

This monograph provides an epistemological rational for novel “Trichotomous Covariance” statistic represented by theacronym [“TRICOVA”]. This new statistic is an innovative in depth way of investigating a Post Hoc Tri–Squared Test as anadvanced data analytical methodology. TRICOVA is a detailed statistical procedure for the internal testing of theoutcomes of a significant transformation of qualitative data into quantitative outcomes through the Tri–Squared Test (firstintroduced in the Journal on Mathematics, and detailed further in the Journal on Educational Technology, Journal onSchool Educational Technology, and in the Journal on Educational Psychology). TRICOVA as an advanced statisticalprocedure; is designed to measure the overall size of the movement (or change) between inputted and outputtedTri–Squared variables. It also is designed to identify the magnitude and type of covariant relationship in existencebetween Tri–Squared Test qualitative and quantitative variables. This new innovative approach to the advancedstatistical post hoc metrics of the Tri–Squared Test adds an additional layer of richness and insight into the inner workingsof the Tri–Squared Test. It also adds considerable value to the mixed methods approach of research design that involvesthe holistic combination and comparison of qualitative and quantitative data outcomes. Two TRICOVA equations arepresented as well as the entire process of advanced statistical Tri–Covariance analytics that display how to conductTrichotomous Covariance inquiry.