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A Base Index of Iterative and Recursive Trichotomous Relations for the Repeated Measurement of the Digital Application, Construction, and Dissemination of the Tri–Squared Test

James Edward Osler II*

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

Periodicity:April - June'2017
DOI : https://doi.org/10.26634/jmat.6.2.13513

Abstract

This monograph provides a Trichotomous Base Index for the transformative process of qualitative data into quantitative outcomes through the Tri–Squared Test introduced in the Journal on Mathematics, and further detailed in the Journal of Educational Technology, Journal on School Educational Technology, and in Journal on Educational Psychology articles. Advanced statistical measures of internal research instrument Trichotomous Repeated Measures and Trichotomous Variation of significant Transformative Trichotomy–Squared [Tri–Squared] research variables are analyzed. This narrative follows the article published in the October-December paper published in the Journal on Mathematics entitled, “Advanced Tri–Analytic Trichotomous Post Hoc Repeated Measures for Tri–Squared Test Inventive Investigative Instrument Items using Trichotomous Variation Analysis [Trivariant Analysis]”. As an additional in-depth and novel approach to advanced Tri–Squared data analysis, “The Base Index of Recursive Trichotomous Relations”adds additional value to the mixed methods approach of research design that involves the holistic combination and comparison of qualitative and quantitative data outcomes. In this paper, multiple sequential mathematical models are provided that illustrate the entire process of advanced Tri-Analytic inquiry.

Keywords

Analytics, Instrument, Investigation, Iteration, Recursion, Repeated Measures, Research, Static Test, Statistics, Trichotomous Relations, Trichotomous Categorical Variables, Trichotomous Outcome Variables, Trichotomy, Tri–Squared, Tri–Squared Tests, Variables

How to Cite this Article?

Osler, J. E., II. (2017). A Base Index of Iterative and Recursive Trichotomous Relations for the Repeated Measurement of the Digital Application, Construction, and Dissemination of the Tri–Squared Test. i-manager’s Journal on Mathematics, 6(2), 1-16. https://doi.org/10.26634/jmat.6.2.13513

References

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

[3]. Osler, J. E., & Waden, C. (2012b). 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, 7(3), 11-23.

[4]. Osler, J. E. (2012a). 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,1(3), 23-31.

[5]. 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 Psychology, 8(3), 15-22.

[6]. Osler, J. E. (2013b). 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, 6(4), 36-41.

[7]. Osler, J. E. (2013c). Algorithmic Triangulation Metrics for Innovative Data Transformation: Defining the Application Process of the Tri–Squared Test. i-manager's Journal on Mathematics, 2(2), 10-16.

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

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

[10]. 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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