Randomization Inference

On sensitivity value of pair-matched observational studies

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' …

Permutation $p$-value approximation via generalized Stolarsky invariance

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.