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This paper demonstrates how Bayesian reasoning can be used for an analog of replication analysis with qualitative research that conducts inference to best explanation. We overview the basic mechanics of Bayesian reasoning with qualitative evidence and apply our approach to recent research on climate change politics, a matter of major importance that is beginning to attract greater interest in the discipline. Our re-analysis of illustrative evidence from a prominent article on global collective-action versus distributive politics theories of climate policy largely accords with the authors’ conclusions, while illuminating the value added of Bayesian analysis. In contrast, our in-depth examination of scholarship on oil majors’ support for carbon pricing yields a Bayesian inference that diverges from the authors’ conclusions. These examples highlight the potential for Bayesian reasoning not only to improve inferences when working with qualitative evidence but also to enhance analytical transparency, facilitate communication of findings, and promote knowledge accumulation.
This chapter introduces Bayesian probability and the rules of probability theory, emphasizing that Bayesian probability emerges as the uniquely consistent extension of deductive (Boolean) logic to contexts of uncertainty and incomplete information
This chapter explicates how to apply heuristic Bayesian reasoning in qualitative case study research. Steps include defining a set of mutually exclusive hypotheses to compare, assessing prior odds, identifying evidence, evaluating likelihood ratios for the evidence, and updating via Bayes’ rule to obtain posterior odds for the hypotheses.
This chapter discusses additional considerations pertaining to the hypothesis set, prior probabilities, and Occam factors, which mediate the trade-offs between parsimony and accuracy in Bayesian analysis.
This chapter explicates the Bayesian foundations of iterative research, where scholars move back and forth between theory revision, data collection, and data analysis. In this style of research, attention to likelihood ratios guards against common forms of confirmation bias, while Occam factors help to control ad hoc hypothesizing.
This chapter illustrates how to apply Bayesian reasoning when analyzing more than one case. The same principles that govern Bayesian updating with multiple pieces of evidence apply to Bayesian inference with multiple cases.