Optimal A Priori Balance in the Design of Controlled Experiments

@article{Kallus2013OptimalAP,
  title={Optimal A Priori Balance in the Design of Controlled Experiments},
  author={Nathan Kallus},
  journal={arXiv: Statistics Theory},
  year={2013}
}
  • Nathan Kallus
  • Published 2013
  • Mathematics
  • arXiv: Statistics Theory
  • We develop a unified theory of designs for controlled experiments that balance baseline covariates a priori (before treatment and before randomization) using the framework of minimax variance and a new method called kernel allocation. We show that any notion of a priori balance must go hand in hand with a notion of structure, since with no structure on the dependence of outcomes on baseline covariates complete randomization (no special covariate balance) is always minimax optimal. Restricting… CONTINUE READING
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