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We extend the randomization-based causal inference framework in Dasgupta etal. (2015) for general 2^K factorial designs, and demonstrate the equivalencebetween regression-based and randomization-based inferences. Consequently, wejustify the use of regression-based methods in 2^K factorial designs from afinite-population perspective.

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