The Tri–Sigma Test: The Triple–Sigma Trichotomous Summation Triostatistic for the Viability, Verifiability, and Validityof Multiple Tri–Squared Test Outcomes

Volume 7 Issue 1 January - March 2018

Research Paper

The Tri–Sigma Test: The Triple–Sigma Trichotomous Summation Triostatistic for the Viability, Verifiability, and Validityof Multiple Tri–Squared Test Outcomes

James Edward Osler II*

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

Osler II, J.E. (2018). The Tri-Sigma Test: The Triple-Sigma Trichotomous Summation Triostatistic for the Viability, Verifiability, and Validity of Multiple Tri-Squared Test Outcomes. i-manager’s Journal on Mathematics, 7(1), 1-12.https://doi.org/10.26634/jmat.7.1.14026

Abstract

This paper provides a novel statistical methodology called “Triple or Tri–Sigma” (“Tri-Σ”) that is designed to conceptually add to the research that has been conducted on and with the Tri–Squared Test (Osler, 2012a). The Tri–Sigma Test is an advanced statistical procedure that is used to analyze multiple Tri–Squared Tests that have been delivered at different times. Tripleseries summation provides an innovative way of investigating the data derived from a series of researchbased investigative instruments that are known as “Trichotomous Tri-Squared Test Triple-I's” (Osler and Mansaray, 2013b). The Triple–I is directly derived from specific research questions as an in-depth associated instrument [first introduced in the i-manager's Journal on Mathematics as a part of the “Tri-Squared Test” (Osler, 2012a)]. This new approach to research inquiry lends additional strength to trichotomous research designs. Trichotomous tests can now be offered at multiple stages, multiple times, and in multiple ways with multiple research questions.