Author(s)

James Edward Osler II

North Carolina Central University, Durham, NC, USA.

This chapter provides an in-depth, novel, and innovative advanced post hoc triostatistical methodology called “Tri-Power Analysis” (also represented as “Tri-”, where z = v [x, y]). Tri-Power Analysis is a complex, comprehensive, and cumulative triostatistic that is designed to determine the level of assurance of ideally replicated statistically significant Tri-Squared Test results. Tri-Power Analysis as the final calculated “True Tri-Power Analysis” accurately and precisely determines Confirmatory Trichotomous Data Analysis by using four additional triostatistics: the Triostatistically significant initial Tri-Squared Test (as “Trichotomous Hindsight”); the advanced calculation validation metric G-TPA [“Geometric-Trichotomous Progression Analysis”]; the innovative TRIASIM [“Trichotomous Analysis of Similarity”] (as “Trichotomous Insight”), the universally applicable TRILOG [“Trichotomous Logit Model”]; and the novel TRIROC [“Trichotomous Rate of Change”] (as “Trichotomous Foresight”). Tri-Power Analysis uses the three Hindsight, Insight, and Foresight triostatistics in a systemic sequential series of mathematical equations to verify, validate, and make viable the outcomes of future Tri-Squared Tests if replicated under the same ideal conditions. As such, this novel and innovative triostatistic thereby advances the science of trichotomous investigative analysis into previously untouched realms of original inquiry. The Tri-Power Analysis approach to “Trichotomous Extrapolative Data Analysis” is both meticulous and stringent detailing a unique approach to research inquiry that allows the researcher to analyze phenomena through a precise trifold lens of trichotomously defined trichotomy.

Foretrend Analysis, Geometric Trichotomous Progression Analysis, Trichotomous Extrapolative Data Analysis, Trichotomous Hindsight, Trichotomous Insight, Trichotomous Foresight, Tri-Squared Inventive Investigative Instrument, Items, Progression Analysis, Tri-Squared Test, TRIASIM, TRIROC, Trichotomy, Triple-I, Trichotomous Categorical Variables, Trichotomous Logit Model, Trichotomous Outcome Variables, Trichotomous Test Procedures, Triostatistics

Osler II, J. (2021) Tri-Power Analysis: The Advanced Post Hoc Triostatistical Assurance Model That Consists of Multiple Advanced Triostatistics to Further Verify, Validate, and Make Viable Ideally Replicated Results of Innovative Investigative Inquiry. Creative Education, 12, 1364-1386. doi: 10.4236/ce.2021.126104.