The Trimetric Tri–Squared Test: An Advanced Post Hoc Exact Test Designed to Statistically Determine Construct Validity

James Edward Osler II*
Associate Professor, Department of Curriculum and Instruction, North Carolina Central University.
Periodicity:April - June'2014
DOI : https://doi.org/10.26634/jmat.3.2.3001

Abstract

This monograph provides a logical and epistemological rational for the Post Hoc testing of the instrumentation used in the transformative process of qualitative data into quantitative outcomes through the Tri–Squared Test introduced in the Journal on Mathematics and expounded upon in the Journal on Educational Psychology. An advanced Post Hoc statistical measure using the Del Differential Operator and Matrix Algebra is used to determine the Construct Validity of researcher designed instruments using the Tri–Squared research design parameters. This additional novel approach to advanced data analysis adds additional value to Tri–Squared as an innovative mixed methods approach to investigative inquiry.

Keywords

Algebra, Categorical, Construct Validity, Del Operator, Exact Test, Instrument, Investigation, Mathematical Model, Nabla, Outcomes, Post Hoc, Research, Statistics, Trichotomy, Trimetric Test, Validity, and Variables.

How to Cite this Article?

Osler, J. E., II. (2014). The Trimetric Tri–Squared Test: An Advanced Post Hoc Exact Test Designed to Statistically Determine Construct Validity. i-manager’s Journal on Mathematics, 3(2), 13-21. https://doi.org/10.26634/jmat.3.2.3001

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