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Due to the nature of causal inference, educational researchers can never rule out all possible threats to both internal validity and external validity. Therefore, oftentimes they are uncertain about the degrees to which they can justify or reject their conclusions. In light of such a headache, different kinds of robustness indices of causal inferences have been proposed. Particularly, we are interested in the robustness indices suggested by Frank et al. (2013) as it naturally arises from the context of the empirical research. The Bayesian models of the robustness indices is developed in this study, based on Frank & Min (2007), in order to offer a new way to evaluate the internal validity and external validity in the educational research.