In the "old days," debates about binary choice models (where the dependent variable= [0,1]) typically centered on probit v. logit. More recent discussions of binary choice models, however, have broadened to include various linear regression possibilities, including LPM and LDM models (click here for one recent example). As discussions of binary choice model options continue to evolve--and some of these discussions evidence (or reflect) variation in norms across fields (e.g., poli sci, econ, epi, etc.)--so to do resources explaining the competing costs and benefits of various empirical strategies. For examples of a few helpful resources, click here and here.
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