Randomization-based inference for average treatment effects in potentially inexactly matched observational studies. It implements the inverse post-matching probability weighting framework proposed by the authors. The post-matching probability calculation follows the approach of Pimentel and Huang (2024) <doi:10.1093/jrsssb/qkae033>. The optimal full matching method is based on Hansen (2004) <doi:10.1198/106186006X137047>. The variance estimator extends the method proposed in Fogarty (2018) <doi:10.1111/rssb.12290> from the perfect randomization settings to the potentially inexact matching case. Comparisons are made with conventional methods, as described in Rosenbaum (2002) <doi:10.1007/978-1-4757-3692-2>, Fogarty (2018) <doi:10.1111/rssb.12290>, and Kang et al. (2016) <doi:10.1214/15-aoas894>.
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