Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improving the Power of the Randomization Test   We consider the problem of evaluating designs for a two-arm randomized
experiment with the criterion being the power of the randomization test for the
one-sided null hypothesis. Our evaluation assumes a response that is linear in
one observed covariate, an unobserved component and an additive treatment
effect where the only randomness comes from the treatment allocations. It is
well-known that the power depends on the allocations' imbalance in the observed
covariate and this is the reason for the classic restricted designs such as
rerandomization. We show that power is also affected by two other design
choices: the number of allocations in the design and the degree of linear
dependence among the allocations. We prove that the more allocations, the
higher the power and the lower the variability in the power. Designs that
feature greater independence of allocations are also shown to have higher
performance.
  Our theoretical findings and extensive simulation studies imply that the
designs with the highest power provide thousands of highly independent
allocations that each provide nominal imbalance in the observed covariates.
These high powered designs exhibit less randomization than complete
randomization and more randomization than recently proposed designs based on
numerical optimization. Model choices for a practicing experimenter are
rerandomization and greedy pair switching, where both outperform complete
randomization and numerical optimization. The tradeoff we find also provides a
means to specify the imbalance threshold parameter when rerandomizing.

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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ