This Project Grant from the National Science Foundation provides $425,000 to Carnegie Mellon University from July 1, 2021 to June 30, 2024. The funding supports research titled "Statistical Procedures and Performance Measures for Simulator-Based Frequentist Inference" under the Mathematical and Physical Sciences program (CFDA 47.049). The research aims to develop statistical methodologies and performance metrics for frequentist inference approaches that utilize simulation-based techniques. Specifically, the awardee will advance statistical procedures and evaluation measures for frequentist inference methods relying on simulation outputs to approximate probabilities or distributions in situations where closed-form solutions are not available. The funding enables research with the goal of strengthening the scientific enterprise by increasing understanding of mathematical and physical sciences challenges, consistent with the purpose of the Mathematical and Physical Sciences program.