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Classical education, rooted in classical and medieval European liberal arts traditions, is championed for its superior academic outcomes. This study investigates whether classical public schools in the U.S. indeed yield higher standardized test scores in math and reading compared to non-classical schools. Using data from the Stanford Educational Opportunity Project, 41 classical and 1113 non-classical schools were analyzed through Bayesian multilevel models, accounting for demographic covariates. Results indicate that classical school students do not outperform their non-classical peers once demographic factors are adjusted. This challenges proponents' claims and underscores the need for more research, especially considering the growing influence and racial segregation concerns of classical charter schools.