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A Digital Computational Design Psychometric for theCalculation of Electronic Tri-Squared Test OutcomesVia the Trichotomous Invariant InstrumentInequality [Tri–Triple I] Formula

James Edward Osler II*

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

Periodicity:October - December'2015
DOI : https://doi.org/10.26634/jmat.4.4.3695

Abstract

This monograph provides an in-depth discourse on a model for the design and construction of digital instruments in the field of Educational Science first detailed in i-managers Journal on Mathematics earlier article. A research engineered computational instrument design model involves the methodology and the metrics used to conduct in-depth research investigations via the innovative Total Transformative Trichotomy-Squared (Tri-Squared) Test. The completion of digital instrumentation of the Tri–Squared will provide researchers with a means of creating qualitative metrics that can be qualitatively analyzed. The creation of a model of digital instruments based on Tri-Squared calculation presents a novel method for in-depth mixed methods research design based upon “Trichotomous Psychometric”. 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” published in the i-managers Journal on Education Psychology.

Keywords

Educational Science, Invariant, Inventive Investigative Instruments, Mathematical Models, Psychometrics, Researcher Decision Rule, Research Engineering, Trichotomous Psychometrics, Trichotomous Testing Input, Trichotomous Testing Output, Trichotomy, Trifold Assessment, Tri-Squared Computational, Tri-Squared Test.

How to Cite this Article?

Osler, J. E., II. (2015). A Digital Computational Design Psychometric for the Calculation of Electronic Tri-Squared Test Outcomes Via the Trichotomous Invariant Instrument Inequality [Tri–Triple I] Formula. i-manager’s Journal on Mathematics, 4(4), 1-8. https://doi.org/10.26634/jmat.4.4.3695

References

[1]. Apostol, T. M. (1967), Calculus- One-variable calculus, with an Introduction to Linear Algebra, Second Edition, Waltham, MA: Blaisdell.

[2]. Kant, I, (2007). “Critique of Pure Reason”, P. Classics a Division of Pearson PLC. New York, NY.

[3]. Osler, J. E. (2015). “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”, i-manager's Journal on Mathematics, Jul-Sep 2015, Print ISSN 2277-5129, E-ISSN 2277-5137, Vol.4(3), pp. 1–15.

[4]. Osler, J. E. and Wright, M. A., (2015). “Dynamic Neuroscientific Systemology: Using Tri–Squared Meta–Analysis and Innovative Instructional Design to Develop a Novel Distance Education Model for the Systemic Creation of Engaging Online Learning Environments”, i-manager's Journal of Educational Technology, Jul-Sep 2015, Print ISSN: 0973-2217, E-ISSN: 2230- 7133, Vol.12 (2), pp.42–55.

[5]. Osler, J. E., (2015). “Introducing Tri–Factor Analysis: A Model and Statistical Test of Performance, Efficacy, and Content for Electronics and Digital Learning Ecosystems”, i-manager's Journal on Electronics Engineering, Mar-May 2015, Print ISSN: 2229-7286, E-ISSN: 2249-0760, Vol.5(3), pp.1–11.

[6]. James Edward Osler II, (2015). “Trioinformatics: The Innovative and Novel Logic Notation That Defines, Explains, and Expresses the Rational Application of the Law of Trichotomy for Digital Instrumentation and Circuit Design”, i-manager's Journal on Circuits and Systems, Vol.3(2), Mar-May 2015, Print ISSN 02321-7502, E-ISSN 2322 – 035X, pp.1-7.

[7]. Osler, J. E., (2015). “TRICOM: Trichotomous Comparative Oneness of Measurement The Functional Analysis of Trichotomous Squared Single Case Research for the Application of the Tri–Squared Test to Single Subject Research Designs”, i-manager's Journal on Mathematics, Apr-Jun 2015, Print ISSN 2277-5129, E-ISSN 2277-5137, Vol.4(2), pp.11–21.

[8]. James Osler, (2015). “Introducing MULTICOVA: Multiple Trichotomous Coefficient of Variation Analysis the Advanced Post Hoc Test of the Tri–Squared Coefficient of Variation”, i-manager's Journal on Mathematics, Vol.4(1), Jan-Mar 2015, Print ISSN 2277-5129, E-ISSN 2277-5137, pp.11-31.

[9]. Osler, J. E., (2014). “Triostatistics: The Application of Innovative In–Depth Advanced Post Hoc Statistical Metrics for the Assessment and Analysis of Statistically Significant Tri–Squared Test Outcomes”, Kentucky Journal of Excellence in College Teaching and Learning, Vol.12(3), pp.27–39.

[10]. James Osler, (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, Vol.3(4), Oct-Dec 2014, Print ISSN 2277-5129, E-ISSN 2277-5137, pp. 1-14.

[11]. James Osler, (2014). “Trichotomous Progression Analysis: An Advanced Comprehensive Statistical Post Hoc Measure of the Tri–Squared Test”, i-manager's Journal on Mathematics, Vol.3(3), Jul-Sep 2014, Print ISSN 2277-5129, E-ISSN 2277-5137, pp. 7-20.

[12]. 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), Apr - Jun 2013 Print ISSN 2277- 5129, E-ISSN 2277-5137, pp.10-16.

[13]. James Edward Osler, (2014). “Tri-Center Analysis: Determining Measures of Trichotomous Central Tendency for the Parametric Analysis of Tri-Squared Test Results”, i-manager's Journal of Educational Technology, Vol.11(1), Apr-Jun 2014, Print ISSN: 0973-0559, E-ISSN: 2230-7125, pp.22-29.

[14]. James Edward Osler II, (2014). “Calculating Tri–Symmetrical Analytics: A Guide Into The In–Depth Processes Associated with The Post Hoc Advanced Statistical Metrics Used To Determine The Value of Significant Tri–Squared Tests”, i-manager's Journal on Mathematics, Vol.3(1), Jan-Mar 2014, Print ISSN 2277-5129, E-ISSN 2277-5137, pp.14-26.

[15]. 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), Dec-Feb 2013, Print ISSN: 0973-2217, E-ISSN: 2230-7133, pp.15-22.

[16]. 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) Feb-April 2013 Print ISSN 0973-8827, E-ISSN 2230-7141, pp. 36-41.

[17]. 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) Apr - Jun 2013 Print ISSN 2277- 5129, E-ISSN 2277-5137, pp. 10-16.

[18]. 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) Jul - Sep 2012 Print ISSN 2277-5129, E-ISSN 2277-5137, pp. 23-32.

[19]. 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), Sep-Nov 2012, Print ISSN: 0973-2217, E-ISSN: 2230-7133, pp.11-23.

[20]. Rust, J. and Golombok, S,. (1989). Modern Psychometrics: The Science of Psychological Assessment, Second Edition, Florence, KY, US: Taylor and Frances/Routledge.

[21]. Sensagent, (2012). Retrieved from: http://dictionary.sensagent.com/trichotomy+(mathematics)/en-en/

[22]. 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.

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