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Submitted by Gautam Rao on

Berk, you may also find this related paper by Max Kasy interesting. He also argues against using randomization when you have baseline data and want to minimize expected mean squared error. He finds that using the method he proposes leads to gains equivalent to increasing sample size by about 20%.
http://scholar.harvard.edu/kasy/publications/why-experimenters-should-not-randomize-and-what-they-should-do-instead