Triostatistics: T he Application of Innovative In - Depth Advanced Post Hoc Statistical Metrics for the Assessment and Analysis o f Statistically Significant Tri - Squared Test Outcomes

This monograph provides an epistemological rational for the design of an advanced and novel parametric statistical analysis metrics. Triostatistics (or more simply “Triostat”) is the application of Post Hoc measures to the statistically significant outcomes of the Trichotomous Squared Test. Triostatistics involves a variety of robust and rigorous calculations and computations to provide further insight on the inner workings of statistically significant Tri- Squared Test results. Each of the Triostatistics Tests are introduced and defined in a summative form. The Tri-Squared Test was first introduced in the Journal on Mathematics as an innovative and in - depth statistical qualitative and quantitative data analysis procedure

Professorial Entrepreneurial Research: An Innovative and Comprehensive “Tri–Analytics Engine” via “Triodynamics” that uses In-Depth Triostatistics to Establish a Longitudinal Faculty Research Agenda

The narrative in this paper provides an in-depth, novel, and innovative methodology to aid higher education faculty in the production of an innovative research agenda designed to trichotomously sustain, advance, and prolong their existing careers. The methodology used to do the aforementioned is referred to as the “Tri–Analytics Engine”. A “Tri–Analytics Engine” is a pioneering initial and accumulative advanced post hoc research practice grounded in Triostatistics. The Tri–Analytics Engine has an introductory methodology termed “Triodynamics” as starting foundational “base research operation” that sets the stage for future research efforts that have their foundation in the initial research topic. Triodynamics are a set of three trichotomous standards that aid the investigator in the creation of a post hoc research agenda after the primary Tri–Analysis analytic. A Tri–Analytics Engine is also a personal entrepreneurial inquiry-based ethos that is trichotomously complex, comprehensive, and cumulative that has Triostatistics at its core.</jats:p

The Triomathematics, Trithmetic, Trichometry, Triangulus &amp; Ternary Algebra Expressions that Define the Triophysics and Triological Sciences Related to the Triscalar Mitigation of Non-Ionized Radiation via Bioharmonic Biobalancing Healthy Smart Solar Nanob

The narrative in this paper provides a detailed and descriptive mathematical model for operative Healthy Smart Solar Nanobiotechnology ™ © (Osler, 2021) designed to biobalance a non-ionized irradiated environment. The in-depth mathematics mentioned in this paper are the foundational elements for groundbreaking innovative terminologies and new pioneering scientific fields covered in detail to explicitly explain how Healthy Smart Solar Nanobiotechnology ™ © interacts with and works within the environment. These revolutionary fields of study are directly associated with the mitigating mathematical operation of Solar Smart Nanobiotechnology ™ ©. The mathematics defined in the paper also aid in the creation of new, novel, and original areas and arenas of knowledge that are designed to most accurately describe the trichotomous holistic solutions that can be used to create an all around healthy and safe environment for the well-being of all.</jats:p

Transformative Psychometric Research Trioengineering Modeling: Triangulating Digital Instrumentation, Implementation, and Data Analysis for Effective, Efficient, and Engaging Classroom Inquiry

This monograph provides an in–depth discourse on “Research Engineering” in the field of “Educational Science” first detailed in a 2012 Journal on Mathematics article. Research Engineering involves the methodology and the metrics used to conduct in–depth research investigations via the innovative Total Transformative Trichotomy–Squared [Tri–Squared] Test. The triangulation of this test aids in the comprehension of how the Tri–Squared calculation is a mixed methods research design based upon “Trichotomous Psychometrics”. Trichotomous Psychometrics involves the development, deployment, and analysis of “Trifold Assessments” for the holistic transformation of qualitative outcomes into quantitative data. This paper is a continuation of the published article entitled: The Psychometrics of Educational Science: Designing Trichotomous Inventive Investigative Instruments for Qualitative and Quantitative for Inquiry.</jats:p

Building Positive Mentoring Experiences for Black Male Faculty at a Historically Black College and University

This chapter outlines how historically Black Colleges and Universities (HBCUs) have served an important role in promoting access to higher education for Black faculty when other venues were closed to them. During their inception, HBCUs were far from equal in terms of infrastructure, resources, and operating budgets; these inequities persist to the present day. HBCUs have a rich legacy of producing charismatic leaders. For example, W. E. B. Du Bois, Martin Luther King, Jr., Thurgood Marshall, Ella Baker, Barbara Jordan, and Stokely Carmichael who all valiantly advocated for societal change for all and served as positive role models to many African Americans. Black colleges also provide a rich source of social networks to students, fostering an empowering educational climate (Palmer &amp; Gasman, 2008).</jats:p