JET_V10_N2_RP5 James E. Osler II Mahmud A. Mansaray Journal of Educational Technology 2230 - 7125 10 2 43 59 Advanced Statistics, Construct Validity, Cronbach's Alpha, Efficacy, Goodman & Kruskal's Lambda, Principal Component Factor Analysis, Reliability, Technology Engineering, Statistics, Student Ratings of Instruction [SRI], Tri–Squared Test, and Validity The online deployment of Technology Engineered online Student Ratings of Instruction [SRIs] by colleges and universities in the United States has dynamically changed the deployment of course evaluation. This research investigation is the fourth part of a post hoc study that analytically and psychometrically examines the design, reliability, and validity of the items used in the delivery of an SRI instrument online during the 2012 Spring Semester at a United States Historical Black College and University [HBCU]. The sample under analysis consisted of 7,919 distributed Student Ratings Instruments with a Grand Total of 56451 analyzed instrument items. The application of several statistical measures was used to validate the Technologically Engineered SRI instrument used in the study. Results of the study included: a Cronbach's Alpha Test that yielded an extraordinarily high internal consistency of the student rejoinders to the items on the rating scale; and a Tri–Squared Test supported the research findings attributed to the Cronbach's Alpha Test results. This research is the continuation of in–depth investigations into Technology Engineering as discussed in iManager's Journal on School Educational Technology, further explored in iManager's Journal of Educational Technology, and data analyzed with the Tri–Squared statistical measure first introduced in iManager's Journal of Mathematics. July - September 2013 Copyright & copy; 2013 i-manager publications. All rights reserved. i-manager Publications http://www.imanagerpublications.com/Article.aspx?ArticleId=2413