Since 2014 the New Jersey Department of Education has offered three high school equivalency (HSE) exams for nongraduates seeking credentials: the GED, the High School Equivalency Test (HiSET), and the Test Assessing Secondary Completion (TASC). The "Characteristics and Performance of High School Equivalency Exam Takers in New Jersey" study used data on exam takers who had been grade 8 students in a New Jersey public school between 2008/09 and 2013/14 and who had attempted at least one HSE exam in New Jersey between March 2014 and December 2018. It analyzed how the characteristics of exam takers differ across exams and from the characteristics of non--exam takers, how the performance of exam takers with similar backgrounds varies, and how a recent reduction in the passing threshold for two of the exams affected passing rates. This document presents the following two appendixes that accompany the study: (1) Methods; and (2) Supporting analysis. [For the full report, see ED614645. For the Study Snapshot, see ED614677.]