On Randomization-based and Regression-based Inferences for 2^K Factorial Designs

preprint2016arXivOpen access

Abstract

We extend the randomization-based causal inference framework in Dasgupta et al. (2015) for general 2^K factorial designs, and demonstrate the equivalence between regression-based and randomization-based inferences. Consequently, we justify the use of regression-based methods in 2^K factorial designs from a finite-population perspective.

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