i-manager Publications

TRIMOD [Trichotomous–Cubic Parametric Model]:A Systemic Advanced Tri–Coordinate Post Hoc Data Morphological Analytic and Trend Analysis Procedure Designed to Comprehensively Analyze Tri–Squared Test Results

James Edward Osler II*

Associate Professor, Department of Curriculum and Instruction, North Carolina Central University, USA.

Periodicity:April - June'2016
DOI : https://doi.org/10.26634/jmat.5.2.6004

Abstract

This monograph provides an epistemological rationale for the design of an advanced, novel, and sequential tri–coordinate post hoc parametric metric. The Trichotomous–Cubic Parametric Model (collectively abbreviated as “TRIMOD”) is a rigorous post hoc mathematical data analysis methodology designed to more accurately detail the outcomes of a statistically significant Tri–Squared Test. This particular statistical test is part two of the research published in the i-manager’s Journal on Mathematics entitled, “The Trichotomous–Cubed Test [Tri³]: An Advanced Statistical Data Analysis Methodology for Tri–Coordinate Meta–Analysis Using the Tri–Squared Test”. TRIMOD infuses the Tri–Cubed Test model with the Tri–Squared Test in a detailed sequential Tri–Coordinate series of x, y, and z planar vectors native to the Visualus Isometric Cuboid (Osler, 2010). A series of methodical mathematical calculation procedures are then conducted to yield the Tri–Cubic Parametric Model outcomes. This statistic further expands the field of post hoc trichotomous tests in terms of morphological and trend analysis analytics that are designed to provide in–depth insight into the Tri–Squared Test first introduced in the i-manager’s Journal on Mathematics.

Keywords

Co-ordinates, Extrapolation, General Morphological Analysis, Interpolation, Isometric Cuboid, Outcomes, 3 Parametric, Planar Vectors, Research, Results, Statistics, Tri–Cubed Test [Tri ],Trend Analysis, Trichotomous, Trichotomous Categorical Variable [TCV], Trichotomous–Cubic Extrapolation, Trichotomous–Cubic Interpolation, Trichotomous–Cubed Tri–Coordinate Meta–Analysis Test, Trichotomous–Cubic Parametric Model, Trichotomous Outcome Variable [TOV], Tri–Squared Test, Visualus.

How to Cite this Article?

Osler, J. E., II. (2016). TRIMOD [Trichotomous–Cubic Parametric Model]: A Systemic Advanced Tri–Coordinate Post Hoc Data Morphological Analytic and Trend Analysis Procedure Designed to Comprehensively Analyze Tri–Squared Test Results. i-manager’s Journal on Mathematics, 5(2), 6-18. https://doi.org/10.26634/jmat.5.2.6004

References

[1]. Apostol, T. M. (1967). Calculus, Second Edition, Volume One: One–variable Calculus, With An Introduction to Linear Algebra. Waltham, MA: Blaisdell.

[2]. Armstrong J. S. & Collopy F. (1993). “Causal forces: Structuring Knowledge for Time–series Extrapolation”. Journal of Forecasting, Vol.12, pp.103-115.

[3]. Kant, I. (2007). Critique of Pure Reason (based on Max Müller's translation). P. Classics a Division of Pearson PLC. New York, NY.

[4]. Crochiere R. E. & Rabiner L. R. (1983). Multirate Digital Signal Processing. Englewood Cliffs, NJ: Prentice–Hall.

[5]. Osler, J. E. (2010). Visualus ™ © Visioneering Volumetrically: The Mathematics of the Innovative Problem–Solving Model of Inventive Instructional Design, First Edition. OSI: Publishing Division. Lulu, Morrisville NC.

[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, No.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, No.2, Print ISSN: 0973-2217, E-ISSN: 2230-7133, pp.11-23.

[8]. Osler, J. E. (2013a). “The Psychometrics of educational science: Designing trichotomous inventive investigative instruments for qualitative and quantitative for inquiry”. i-manager's Journal on Educational Technology, Vol.8, No.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, No.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, No.2, Print ISSN 2277-5129, E-ISSN 2277-5137, pp.10-16.

[11]. James Edward Osler II (2016). “The Trichotomous–Cubed Test [Tri ]: An Advanced Statistical Data Analysis Methodology for Tri–Coordinate Meta–Analysis Using the Tri–Squared Test”. i-manager's Journal on Mathematics, Vol.5, No.1, Print ISSN 2277-5129, E-ISSN 2277-5137, pp.6-19.

[12]. Ritchey, T. (1998). “General morphological analysis: A general method for non–quantified modeling (Fritz Zwicky, th Morphologie and Policy Analysis)”. a paper presented at the 16 EURO Conference on Operational Analysis, Brussels.

[13]. Ritchey, T. (2006). “Problem structuring using computer–aided morphological analysis”. Journal of the Operational Research Society (JORS), Vol.57, No.7.

[14]. Ritchey, T. (2011). Wicked Problems/Social Messes: Decision Support Modelling with Morphological Analysis. Berlin: Springer.

[15]. Rothman K.J., Greenland S. & Lash T. (2008). Modern Epidemiology 3^rd Edition. Philadelphia: Lippincott Williams and Wilkins an imprint of Wolters Kluwer.

[16]. Rothman K.J., Greenland S. & Lash T. (2012). Modern Epidemiology 4^th Edition. Philadelphia: Lippincott Williams and Wilkins an imprint of Wolters Kluwer.

[17]. Rust, J. & Golombok, S. (1989). Modern Psychometrics: The Science of Psychological Assessment 2^nd Edition. Florence, KY, US: Taylor & Frances/Routledge.

[18]. Sensagent: Retrieved on May 9, 2012 from http://dictionary.sensagent.com/trichotomy+(mathematics)/en–en/

[19]. SETA: Office of Social & Economic Trend Analysis (2006). Iowa State University.

[20]. 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.

[21]. Zwicky, F. (1969). Discovery, Invention, Research – Through the Morphological Approach. Toronto: The Macmillian Company.

[22]. Zwicky, F. & Wilson A. (1967). New Methods of Thought and Procedure. Contributions to the Symposium on Methodologies. Berlin: Springer.

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