i-manager Publications

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

James Edward Osler II*

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

Periodicity:July - September'2015
DOI : https://doi.org/10.26634/jmat.4.3.3595

Abstract

This monograph provides an epistemological rational for novel “Trichotomous Covariance” statistic represented by the acronym [“TRICOVA”]. This new statistic is an innovative in depth way of investigating a Post Hoc Tri–Squared Test as an advanced data analytical methodology. TRICOVA is a detailed statistical procedure for the internal testing of the outcomes of a significant transformation of qualitative data into quantitative outcomes through the Tri–Squared Test (first introduced in the i-manager’s Journal on Mathematics, and detailed further in the Journal on Educational Technology, Journal on School Educational Technology, and in the Journal on Educational Psychology). TRICOVA as an advanced statistical procedure; is designed to measure the overall size of the movement (or change) between inputted and outputted Tri–Squared variables. It is also designed to identify the magnitude and type of covariant relationship in existence between Tri–Squared Test qualitative and quantitative variables. This new innovative approach to the advanced statistical post hoc metrics of the Tri–Squared Test adds an additional layer of richness and insight into the inner workings of the Tri–Squared Test. It also adds considerable value to the mixed methods approach of research design that involves the holistic combination and comparison of qualitative and quantitative data outcomes. Two TRICOVA equations are presented as well as the entire process of advanced statistical Tri–Covariance analytics that display how to conduct Trichotomous Covariance inquiry.

Keywords

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

How to Cite this Article?

Osler, J. E., II. (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, 4(3), 1-16. https://doi.org/10.26634/jmat.4.3.3595

References

nd [1]. Apostol, T. M. (1967). Calculus, One–Variable Calculus, with an Introduction to Linear Algebra, 2 edition, Vol.1, Waltham, MA: Blaisdell.

[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]. 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.

[4]. 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, 8(2), Print ISSN: 0973-2217, E-ISSN: 2230-7133, pp. 11-23.

[5]. Osler, J. E. (2013). “The Psychometrics of Educational Science: Designing Trichotomous Inventive Investigative Instruments for Qualitative and Quantitative for Inquiry,” i-manager’s Journal on Educational Psychology, Vol.8(3), pp.15–22.

[6]. 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.

[7]. 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.

[8]. 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.

[9]. 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), Print ISSN 2277-5129, E-ISSN 2277-5137, pp.1-14.

[10]. Rust, J. & Golombok, S. (1989). Modern Psychometrics: The Science of Psychological Assessment, 2 edition, Florence.

[11]. Searle, S. R., Casella, G., & McCullock, C. E. (1992). Variance Components, New York: Wiley. Sensagent. http://dictionary.sensagent.com/trichotomy+(mathematics)/en–en/

[12]. 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.

If you have access to this article please login to view the article or kindly login to purchase the article

Single Article

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

ADD TO CART

Options for accessing this content:

If you would like institutional access to this content, please recommend the title to your librarian.
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.