References
[1]. Apostol, T.M., (1967). Calculus, Volume one: One–variable Calculus, with an Introduction to Linear Algebra, 2nd Edition,
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]. 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.
[4]. Osler, J.E., (2012). “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, pp.23–31, ISSN Print: 2277-5129, ISSN
Online: 2277-5137.
[5]. Osler, J.E., and Waden, C., (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.7,
No.3, pp.11–23, ISSN Print: 0973-2217, ISSN Online: 2230-7133.
[6]. Osler, J.E., (2013a). “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, pp.10–16, ISSN Print: 2277-5129, ISSN
Online: 2277-5137.
[7]. Osler, J.E., (2013b). “The Triangulation Algorithmic: A Transformative Function for Designing and Deploying Effective
Educational Technology Assessment Instruments”. i-manager's Journal of Educational Technology, Vol.10, No.1, pp.46–54, ,
ISSN Print: 0973-0559, ISSN Online: 2230-7125.
[8]. Osler, J.E., (2013c). “Transformational Research Engineering: Research Design Metrics for In–Depth and Empowering
K–12 Teacher Professional Development”. i-manager's Journal on School Educational Technology, Vol.9, No.1, pp.43–60,
ISSN Print: 0973-2217, ISSN Online: 2230-7133.
[9]. Osler, J.E., (2013d). “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, No.3,
pp.15–22, ISSN Print: 0973-8827, ISSN Online: 2230-7141.
[10]. Osler, J.E., (2013e). “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, pp.36–41, ISSN Print:
0973-8827, ISSN Online: 2230-7141.
[11]. Osler, J.E., (2013f). “Tri–Squared Mean Cross Comparative Analysis: An Advanced Post Hoc Qualitative and
Quantitative Metric for a More In–Depth Examination of the Initial Research Outcomes of the Tri–Square Test”. i-manager's
Journal of Educational Technology, Vol.10, No.3, pp.35–41, ISSN Print: 0973-0559, ISSN Online: 2230-7125.
[12]. Osler, J.E., (2014a). “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, No.3, pp.27–39.
[13]. Osler, J.E., (2014b). “Introducing TRINOVA: ‘Trichotomous Nomo graphical 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, No.4, pp.1–14, ISSN Print: 2277-5129, ISSN Online: 2277-5137.
[14]. Osler, J.E., (2014c). “Trichotomous Progression Analysis: An Advanced Comprehensive Statistical Post Hoc Measure of
the Tri–Squared Test”. i-manager's Journal on Mathematics, Vol.3, No.3, pp.7–20, ISSN Print: 2277-5129, ISSN Online: 2277-
5137.
[15]. Osler, J.E., (2014d). “The Trimetric Tri–Squared Test: An Advanced Post Hoc Exact Test designed to Statistically determine
Construct Validity”. i-manager's Journal on Mathematics, Vol.3, No.2, pp.27–35, ISSN Print: 2277-5129, ISSN Online: 2277-
5137.
[16]. Osler, J.E., (2014e). “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, No.1, pp. 23–30, ISSN Print: 0973-
0559, ISSN Online: 2230-7125.
[17]. Osler, J.E., (2014f). “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 January– March
Journal on Mathematics, Vol.3, No.1, pp.14–26, ISSN Print: 2277-5129, ISSN Online: 2277-5137
[18]. Osler, J.E., (2015a). “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, Vol.4, No.2, pp.11–21, ISSN Print: 2277-5129, ISSN Online: 2277-5137.
[19]. Osler, J.E. (2015b). “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, No.1, pp.11–31, ISSN Print:
2277-5129, ISSN Online: 2277-5137 .
[20]. Rust, J., and Golombok, S., (1989). Modern Psychometrics: The Science of Psychological Assessment, (2nd ed.).
Florence, KY, US: Taylor & Frances/Routledge.
[21]. Sensagent, (2012). Trichotomy (Mathematics). Retrieved: http://dictionary.sensagent.com/trichotomy%20
(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.
[23]. Stevens, J.P. (2002). Applied Multivariate Statistics for the Social Sciences. Mahwah, NJ: Lawrence Erblaum.
