Previous analyses of stress-morphology interactions in Pama-Nyungan and other Australian aboriginal languages have tended to fall into two classes: base-driven approaches, which acknowledge the role of a morphological base to which the derivative is faithful (e.g., Kenstowicz 1998, Steriade 2013) and alignment-based approaches, in which these interactions are due to constraints governing the alignment of metrical constituents with morpheme boundaries (e.g., Crowhurst 1994, McCarthy & Prince 1994, Kager 1997, Berry 1998, Pensalfini 1999; see also Poser 1989). This paper presents a new base-driven analysis of stress in a large collection of Australian languages, and discusses the results of a factorial typology based on the proposed constraint set. The predictions of the base-driven account are then compared to the predictions of an alignment-based account (Alderete 2009). While both approaches predict the full range of Australian stress patterns, their predictions regarding the broader typology diverge significantly. I show that the base-driven account, but not the alignment-based account, makes strong, restrictive, and accurate predictions regarding the global typology of stress-morphology interactions.