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

James Edward Osler II*
Associate Professor, Department of Curriculum and Instruction, North Carolina Central University.
Periodicity:October - December'2014
DOI : https://doi.org/10.26634/jmat.3.4.3184

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 of qualitative data, into quantitative outcomes through the Tri–Squared Test first introduced in i-manager’s Journal on Mathematics, and further detailed in the Journal on Educational Technology, Journal on School Educational Technology, and in Journal on Educational Psychology. Trinova is an advanced statistical measure that is designed to check the validity and reliability of a Tri–Squared Test. This is a novel approach to advanced statistical post hoc Tri–Squared data analysis. It adds considerable value to the mixed methods approach of research design that involves the holistic combination and comparison of qualitative and quantitative data outcomes. A sequential Trinova mathematical model is provided, that illustrates the entire process of advanced statistical Trichotomous inquiry.

Keywords

Analytics, Instrument, Investigation, Mathematical Model, Outcomes, Post Hoc, Research, Static Test, Statistics, Trichotomy, Tri–Squared, Tri–Squared Tests, Trinova, Trivariant, Variables, Variance.

How to Cite this Article?

Osler II, J.E. (2014). 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. i-manager’s Journal on Mathematics, 3(4), 1-14. https://doi.org/10.26634/jmat.3.4.3184

References

[1]. Apostol, T. M. (1967). Calculus: One–variable calculus, with an introduction to linear algebra, Second edition, Waltham, MA: Blaisdell, Vol.1,pp.1-686.
[2]. Hamilton, G. F. (1944). The cranial capacity of the living, calculated automatically by a nomographical instrument, Journal of Anatomy, Vol.78, pp.200.
[3]. Kant, I. (2007). Critique of pure reason (based on Max Müller's translation). P. Classics Division of Pearson PLC. New York, NY
[4]. Morita, K. ????. (1952). Nomographical Determination of the Complex and Real Roots of the Stability Biquadratic Equations,3 rd Report, Full-nomographic method. ?????????, Vol.18(75), pp. 123–126.
[5]. Ojalvo, M. (1965). The Use of Nomography in the Solution of Beam-column Problems (No. TSS-15). Princeton University New Jersey Department of Graphics and Engineering Drawing.
[6]. James Edward Osler (2012). Introducing: Trichotomy–Squared – A Novel Mixed Methods Test and Research Procedure Designed to Analyze, Transform, and Compare Qualitative and Quantitative Data for Education Scientists Who are Administrators, Practitioners, Teachers, and Technologists. i-manager's Journal on Mathematics, Vol.1(3) Print ISSN 2277- 5129, E-ISSN 2277-5137, pp. 23-32.
[7]. James Edward Osler and Carl Waden (2012). Using Innovative Technical Solutions As An Intervention For At Risk Students: A Meta–Cognitive Statistical Analysis To Determine The Impact Of Ninth Grade Freshman Academies, Centers, And Center Models Upon Minority Student Retention And Achievement. i-manager's Journal on School Educational Technology, Vol.8(2), Print ISSN: 0973-2217, E-ISSN: 2230-7133, pp. 11-23.
[8]. James Edward Osler (2013). The Psychometrics Of Educational Science: Designing Trichotomous Inventive Investigative Instruments For Qualitative And Quantitative Inquiry. i-manager's Journal on School Educational Technology, Vol.8(3), Print ISSN: 0973-2217, E-ISSN: 2230-7133, pp. 15-22.
[9]. James Edward Osler (2013). The Psychological Efficacy Of Education As A Science Through Personal, Professional, And Contextual Inquiry Of The Affective Learning Domain. i-manager's Journal on Educational Psychology. Vol.6(4) Print ISSN 0973-8827, E-ISSN 2230-7141, pp. 36-41.
[10]. James Edward Osler II (2013). Algorithmic Triangulation Metrics for Innovative Data Transformation: Defining The Application Process of The Tri–Squared Test. i-manager's Journal on Mathematics, Vol.2(2) Print ISSN 2277-5129, E-ISSN 2277- 5137, pp. 10-16.
[11]. Rust, J. & Golombok, S.(1989). Modern psychometrics: The science of psychological assessment(2nd ed.). Florence, KY, US: Taylor & Frances/Routledge.
[12]. Searle, S. R., Casella, G., & McCullock, C. E. (1992).Variance components, New York: Wiley. Sensagent: Retrieved, http://dictionary.sensagent.com/trichotomy+(mathematics)/en–en/
[13]. Singh, S. (1997). Fermat's enigma: The epic quest to solve the world's greatest mathematical problem. A. Books a Division of Random House. New York, NY.
[14]. Stang, P. L., & Taylor, C. A. (1961). The Prediction of Thermal Hazards in Propellants by a Nomographical Technique (No.NOTS-TP-2755), Naval Ordnance Test Station China Lake, CA.
[15]. Agresti, Alan (1996). An Introduction to Categorical Data Analysis. New York: Wiley.
[16]. Morrison, D. F. (1990). Multivariate statistical methods,(3rd Ed.). New York: McGraw-Hill.

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