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What is Tri–Squared Test

Handbook of Research on Educational Technology Integration and Active Learning
Tri–Squared comprehensively stands for “The Total Transformative Trichotomous–Squared Test” (or “Trichotomy–Squared”). The Total Transformative Trichotomous–Squared Test provides a methodology for the transformation of the outcomes from qualitative research into measurable quantitative values that are used to test the validity of hypotheses. The advantage of this research procedure is that it is a comprehensive holistic testing methodology that is designed to be static way of holistically measuring categorical variables directly applicable to educational and social behavioral environments where the established methods of pure experimental designs are easily violated. The unchanging base of the Tri–Squared Test is the 3 × 3 Table based on Trichotomous Categorical Variables and Trichotomous Outcome Variables. The emphasis the three distinctive variables provide a thorough rigorous robustness to the test that yields enough outcomes to determine if differences truly exist in the environment in which the research takes place ( Osler, 2012 ).
Published in Chapter:
Educational Technology Assessment: A Model for Analyzing Online Psychometric Tests for Course Evaluations
James Edward Osler II (North Carolina Central University, USA) and Mahmud A. Mansaray (North Carolina Central University, USA)
DOI: 10.4018/978-1-4666-8363-1.ch011
Abstract
In this chapter a digital assessment and an associated novel mathematical statistical model are provided as online psychometrics designed to evaluate College and University courses. The psychometric evaluation tool is a Student Ratings of Instruction [SRI] instrument used at a Historically Black College and University [HBCU] for course evaluation purposes. The research methodology is an a posteriori post hoc investigation that examines the reliability and validity of the items used in the SRI instrument. The sample under analysis consisted of the responses to 56,451 total items extracted from 7,919 distributed Student Ratings Instruments delivered online during the 2012 academic year. The post hoc application of the novel Tri–Squared Test analysis methodology is used to intricately analyze the results of an earlier study on SRIs that yielded strong construct validity from Cronbach's Alpha Reliability Model, Goodman & Kruskal's Lambda, and Principal Component Factor Analysis with Varimax Rotation.
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