Neuromathematical trichotomous mixed methods analysis: Using the neuroscientific tri-squared test statistical metric as a post hoc analytic to determine leadership efficacy

This study examines the leadership efficacy amongst graduates of The North Carolina School of Science andMathematics (NCSSM) for the classes of 2000 through 2007 from a neuroscientific and neuromathematic perspective.NCSSM alumni (as the primary unit of analysis) were examined using a novel neuromathematic post hoc method ofanalysis. This study is grounded in the theoretical construct that non-cognitive psychological (also called motivational)factors are core components of leadership efficacy (self-efficacy), indicative of NCSSM graduates (who had highacademic performance and attained STEM [Science, Engineering, Technology, and Mathematics] degrees). In thisneuroscientific mixed–methods analysis, a quantitative phase was conducted to collect the data captured by the MindGarden Leadership Efficacy Questionnaire. A Post Hoc qualitative analysis was conducted in the second phase of thedata analysis, using the applied neuromathematic Trichotomous–Squared Test methodology (that has an associatedqualitative researcher–designed Inventive Investigative Instrument (Osler, 2012a) embedded within the statisticalmethodology). An additional outcome of the research investigation was the development of a new assessmentmethodology called the “Mason Leadership Efficacy Model”.