On randomization-based and regression-based inferences for 2K factorial designs

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. (C) 2016 Published by Elsevier B.V.