This study examines the leadership efficacy amongst graduates of The North Carolina School of Science and Mathematics (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 of analysis. 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 high academic performance and attained STEM [Science, Engineering, Technology, and Mathematics] degrees). In this neuroscientific mixed-methods analysis, a quantitative phase was conducted to collect the data captured by the Mind Garden Leadership Efficacy Questionnaire. A Post Hoc qualitative analysis was conducted in the second phase of the data analysis, using the applied neuromathematic Trichotomous-Squared Test methodology (that has an associated qualitative researcher-designed Inventive Investigative Instrument (Osler, 2012a) embedded within the statistical methodology). An additional outcome of the research investigation was the development of a new assessment methodology called the "Mason Leadership Efficacy Model".