This paper applies dialectical argumentation structures to the problem of analyzing the ad baculum fallacy. It is shown how it is necessary in order to evaluate a suspected instance of the fallacy to proceed through three levels of analysis: (1) an inferential level, represented by an argument diagram, (2) a speech act level, where conditions for specific types of speech acts are defined and applied, and (3) a dialectical level where the first two levels are linked together and fitted into formal dialogue structures. The paper adds a new type of dialogue called advising dialogue that needs to be applied at the third level.
Walton, Douglas. (2014). A Dialectical Analysis of the Ad Baculum Fallacy. Informal Logic, 34 (3), 276-310.