Periodontal treatment outcomes vary substantially across patients, teeth, and sites, even when similar therapeutic protocols are applied. This variation reflects differences in baseline disease severity, local anatomical conditions, behavioral exposures, systemic risk, and maintenance adherence. Conventional analytic approaches often simplify this structure and may therefore obscure clinically meaningful sources of heterogeneity. A major problem in periodontal outcome research is the absence of a coherent methodological framework for applying Bayesian hierarchical models to multilevel clinical data. Single-level models and conventional regression strategies may estimate average treatment effects but provide limited insight into how risk factors operate across nested biological and clinical units. This limitation is especially important when clinicians need individualized probabilities rather than only population-level associations. The objective of this article is to propose a conceptual framework for Bayesian hierarchical modeling of risk factors associated with periodontal treatment outcomes. The framework is designed for studies evaluating probing depth reduction, clinical attachment gain, pocket closure, residual pockets, and tooth survival after surgical or non-surgical periodontal therapy. It emphasizes how prior evidence, multilevel random effects, and posterior prediction can be integrated into a clinically interpretable analytic structure. This conceptual article is based on a critical synthesis of 30 peer-reviewed articles published between 2017 and 2026 in periodontology, evidence-based dentistry, and biostatistics. The synthesis focuses on periodontal treatment endpoints, patient-level and site-level risk factors, Bayesian multilevel modeling principles, prior elicitation, computational estimation, and posterior predictive interpretation. No new empirical dataset is analyzed. The proposed framework specifies the periodontal data hierarchy, relevant variance components, fixed and random effects, prior choices, model-checking procedures, and clinical translation pathways. It shows how Bayesian hierarchical modeling can support individualized treatment planning by estimating patient-specific and site-specific probabilities of success. The framework is intended to guide future empirical research and improve methodological rigor in periodontal outcome studies.