(Osler and Wright, 2015b) which is a part of its data measurement analytical methodology. Neuroscientific terminology is provided in the narrative review of literature to explain the foundations of trichotomous-based research and trichotomously-grounded research designs. Additional research into consociation as a measure of uniformity will further advance in-depth investigations into the tripartite aspects of nature and natural phenomena based on the mathematical law of trichotomy.

">

The Coefficient of Consociation: The Novel Statistic that measures uniformity through Neuroscientific Tri-Point Triangulation to define, explain, and express the Research Application of the Law of Trichotomy

James Edward Osler II*
Associate Professor, Department of Curriculum and Instruction, North Carolina Central University, USA.
Periodicity:October - December'2017
DOI : https://doi.org/10.26634/jmat.6.4.13861

Abstract

This discourse provides a novel statistic for the measurement of uniformity. This novel statistic has new notation, models, and operations that resolve the differences in the three primary statistical methodologies. It also extends the research that appeared in the July–September i-manager’s Journal of Educational Technology and the March–May i-manager’s Journal on Circuits and Systems. The “Coefficient of Consociation” is a unique statistic that is represented by the lower case Greek letter upsilon [ν]. The Coefficient of Consociation is a trichotomous research statistic that measures and analyzes research through the use of trichotomous models, methodology, and the Tri-Squared Meta-Analysis Test (Osler and Wright, 2015b) which is a part of its data measurement analytical methodology. Neuroscientific terminology is provided in the narrative review of literature to explain the foundations of trichotomous-based research and trichotomously-grounded research designs. Additional research into consociation as a measure of uniformity will further advance in-depth investigations into the tripartite aspects of nature and natural phenomena based on the mathematical law of trichotomy.

Keywords

Coefficient of Consociation, Inventive Investigative Instrument, Mathematical Models, Modus, Neuroscience, Notation, Operation, Research, Results, Tri-Squared Meta-Analysis, Tri-Point Test, Tri-Squared Test, Triangulation, Trichotomy, Trichotomous Categorical Variables, Trichotomous Outcome Variables, Triple-I, Uniformity, Upsilon

How to Cite this Article?

Osler, J. E., II. (2017). The Coefficient of Consociation: The Novel Statistic that measures uniformity through Neuroscientific Tri-Point Triangulation to define, explain, and express the Research Application of the Law of Trichotomy. i-manager’s Journal on Mathematics, 6(4), 1-18. https://doi.org/10.26634/jmat.6.4.13861

References

[1]. American Academy of Neurology (AAN). (2012). Working with your doctor. In American Academy of Neurology. Retrieved 28 October 2012:http://patients.aan.com/go/workingwithyourdoctor
[2]. Apostol, T. M. (1967). Calculus, second edition, Volume one: One–variable calculus, with an introduction to linear algebra. Waltham, MA: Blaisdell.
[3]. Atta, H. M. (1999). Edwin Smith Surgical papyrus: The oldest known surgical treatise. The American Surgeon, 65(12), 1190- 1192.
[4]. Boolos, G. S., Burgess, J. P., & Jeffrey, R. C. (2002). Computability and Logic. Cambridge University Press.
[5]. BrainAge. (2006). Nintendo Company of America. Based on the work of Ryuta Kawashima, M.D.
[6]. Careersinpsychology. (2015). Retrieved August 19, 2015: http://careersinpsychology.org/becoming-aneuropsychologist/
[7]. Carrero, M. (2011). One vital organ: Heart is more than a pump. In The Morning Call. Retreived February 12, 2011:
[8]. Cherry, K. (2014). What is cognition? About Education. Retrieved from http://psychology.about.com/od/ cindex/g/def_cognition.htm
[9]. Cobarrubias, S. (2014). What is neuroplasticity? - Definition, depression & quiz. Education Portal. Retrieved from http://education-portal.com/academy/lesson/what-is-neuroplasticity-definition-depression-quiz.html
[10]. Eagleman, D. M. (2011). The brain on trial. July-August 2011, The Atlantic.
[11]. Enderton, H. & Enderton, H. B. (2001). A Mathematical Introduction to Logic. Academic Press.
[12]. Ferreirós, J. (2001). The road to modern logic-an interpretation. Bulletin of Symbolic Logic, 7(4), 441-484.
[13]. Feidakis, M. & Daradoumis, T. (2013). A Framework for Designing Computer Supported Learning Systems with Sensibility. International Journal of e-Collaboration, 9(1), 57-70.
[14]. Goodfriend, W. (2014). What is learning: Understanding Effective Classroom Strategies. Education Portal.
[15]. Green, M. F. (1998). Schizophrenia from a neurocognitive perspective: Probing the impenetrable darkness. Allyn & Bacon.
[16]. Hidden Curriculum. (2014, August 26). In S. Abbott (Ed.), The Glossary of Education Reform. Retrieved from http://edglossary.org/hidden-curriculum
[17]. Hunter, G. (1973). Metalogic: An Introduction to the Metatheory of Standard First Order Logic. Univ of California Press.
[18]. Mandal, A. (2014). What is neurogenesis?
[19]. Mendelson, E. (2009). Introduction to Mathematical Logic. CRC Press.
[20]. Merrill, M. D., Drake, L., Lacy, M. J., Pratt, J., & ID2_Research_Group. (1996). Reclaiming instructional design. Educational Technology, 36(5), 5-7.
[21]. Neuroscience. (1963). In Merriam-Webster online. Retrieved from http://www.merriam-webster.com/ dictionary/neuroscience
[22]. Nouri, A. & Mehrmohammadi, M. (2012). Defining the Boundaries for Neuroeducation as a Field of Study. Educational Research Journal, 27(1 & 2).
[23]. Osler, J. E. (2010). Visualus™©: visioneering volumetrically: The mathematics of the innovative problem–solving model of inventive instructional design. Durham, NC: Publishing Division, OSI.
[24]. 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), 23-32.
[25]. Osler II, J. E. & Waden, C. (2012b). Using Innovative Technical Solutions as an Intervention for at Risk Students: A MetaCognitive 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, 8(2), 11-23.
[26]. 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 School Educational Technology, 8(3), 15-22.
[27]. Osler II, 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.
[28]. Osler II, J. E. (2013c). Proximalpositive Parallel Notation: A Novel Method of Expressing Mathematical Complements, Collaborations, and Combinations. i-manager's Journal on Mathematics, 2(4), 21-32.
[29]. Osler, J. E. (2013d). Transformational Research Engineering: Research Design Metrics for in Depth and Empowering K12 Teacher Professional Development. i-manager's Journal on School Educational Technology, 9(1), 43-60.
[30]. 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, 12(3), 27-39.
[31]. Osler II, J. E. (2015a). 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, 3(2), 1-7.
[32]. Osler II, J. E. & Wright, M. A. (2015b). 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, 12(2), 42-55.
[33]. Osler II, J. E. (2015c). Trichotomous Bayes Factor Analysis [Tri-BFA]: A Post Hoc Probability Confirmatory Data Analysis Assurance Model Designed to Determine the Validity, Viability, and Verifiability of E-Learning Hypotheses. i-manager's Journal on Electronics Engineering, 6(1), 1-12.
[34]. Petoft, A. (2015). Neurolaw: A brief introduction. Iranian Journal of Neurology. 14 (1), 53-58.
[35]. Posner, M. I. & Digirolamo, G. J. (2000). Cognitive neuroscience: Origins and promise. Psychological Bulletin, 126(6), 873-889.
[36]. Research Network on Law and Neuroscience. (2014). Neurolaw. Retrieved from http://www.lawneuro.org/
[37]. Rust, J. & Golombok, S. (1989). Modern Psychometrics: The Science of Psychological Assessment (2 ed.). Florence, KY, US: Taylor & Frances/Routledge.
[38]. Sabitzer, B. (2011). Neurodidactics - a new stimulus in ICT and computer science education. INTED 2011 Proceedings (pp. 5881-5889).
[39]. Sensagent. (2012). Online Dictionary: www.sensagent.com: Retrieved, May 9, 2012: http://dictionary.sensagent.com/ trichotomy+(mathematics)/en–en/
[40]. Shoenfield, J. & Monk, J. D. (2001). REVIEWS-Mathematical logic.
[41]. Singh, S. (1997). Fermat's Last Theorem. Fourth Estate, London, 1997. ISBN 1-85702-669-1.
[42]. UC-Berkeley Molecular and Cell Biology Department. (2014). Neurobiology. Retrieved from https://mcb. berkeley.edu/undergrad/major/major-requirements/neuro
[43]. Yale University. (2010). Cognitive Science. Retrieved from http://www.yale.edu/cogsci/
[44]. Yudofsky, S. C. & Hales, R. E. (2002). Neuropsychiatry and the future of psychiatry and neurology. American Journal of Psychiatry, 159(8), 1261-1264.
[45]. Zymo Research. (2014). What is epigenetics? Retrieved from http://www.zymoresearch.com/learningcenter/ epigenetics/what-is-epigenetics
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Online 15 15

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.