Randomization Inference

A crucial quantity in Rosenbaum’s sensitivity analysis is the 'sensitivity value', the amount of unmeasured confounding needed to alter the qualitative conclusions of an observational study. This paper looks into the properties of 'sensitivity value' …

This paper uses a generalized Stolarsky's invariance principle to approximate the permutation $p$-value for two-sample linear test statistics. Along the way we discovered a simple probabilistic proof of Stolarsky's invariance principle.