This study evaluated the effectiveness of the Family-Centered Empowerment Model (FCEM) on psychological outcomes in post-myocardial infarction patients using a high-precision Bayesian multivariate approach. A Randomized Controlled Trial (RCT) was conducted with70 patients, comparing FCEM with standard care across nine longitudinal time points. Bayesian analysis confirmed that FCEM significantly outperformed the control group, resulting in substantial improvements in perceived stress, state anxiety, and quality of life. These findings highlight the potential of FCEM as a powerful rehabilitation strategy for post-MI patients. The model not only supports individual recovery but also engages the family in the care process, leading to better emotional and psychological outcomes. Additionally, the use of Bayesian modeling demonstrated superior accuracy in estimating longitudinal clinical data compared to traditional statistical methods, offering more reliable insights for clinical decision-making. Health policymakers and healthcare institutions should consider integrating FCEM into standard cardiac rehabilitation programs. Promoting family-centered care models and advanced analytical methods like Bayesian modeling can enhance the quality of healthcare delivery and reduce the long-term burden of cardiovascular diseases. This approach not only improves individual patient outcomes but also contributes to the overall efficiency and effectiveness of the healthcare system. Adopting such evidence-based and family-inclusive strategies can lead to better patient engagement, improved mental health, and reduced healthcare costs. It is recommended that future research and policy development prioritize the implementation of FCEM and similar models in diverse healthcare settings to maximize their impact on public health.