Factorial experiments are widely used to assess the marginal, joint, and interactive effects of multiple concurrent factors. While a robust literature covers the design and analysis of these experiments, there is less work on how to handle treatment noncompliance in this setting. To fill this gap, we introduce a new methodology that uses the potential outcomes framework for analyzing 2K factorial experiments with noncompliance on any number of factors. This framework builds on and extends the literature on both instrumental variables and factorial experiments in several ways. First, we define novel, complier-specific quantities of interest for this setting and show how to generalize key instrumental variables assumptions. Second, we show how partial compliance across factors gives researchers a choice over different types of compliers to target in estimation. Third, we show how to conduct inference for these new estimands from both the finite-population and superpopulation asymptotic perspectives. Finally, we illustrate these techniques by applying them to a field experiment on the effectiveness of different forms of get-out-the-vote canvassing. New easy-to-use, open-source software implements the methodology. Supplementary materials for this article are available online.

The anthropology of Pacific cultures spotlights social conflict as a proximate cause of suicide. Ethnographic accounts suggest that suicidal behaviors are high-cost conflict-resolution strategies. We investigate parent-child conflicts and the strategies adolescents and young adults use to resolve them, using concepts from human behavioral ecology to interpret results from in-depth, semi-structured interviews with 58 Chon Chuuk participants. One strategy for resolving conflicts in one's favor is to impose costs through the threat or use of violence, but an alternative strategy for those who lack social power or formidability involves social withdrawal, or withholding cooperation, until the interdependent parties reach an agreement. The Chuukese term amwunumwun refers to a spectrum of social withdrawal, including avoidance, running away, and suicide. Strategies involving withholding cooperation were the most reported child behavioral response. As predicted, low-cost strategies, such as negotiation, were associated with nonsevere conflicts (e.g., playing with friends), whereas high-cost withholding cooperation, such as running away, was associated with severe conflicts (e.g., labor exploitation). Importantly, withholding cooperation was often, but not always, associated with outcomes favoring the child. We propose that withholding cooperation is a culturally ubiquitous strategy, ranging from avoidance to suicidality, used by the powerless to achieve more favorable outcomes.