Science Enabled

Li, X., Li, B., Wang, G., Zhan, X., & Holyoak, M. (2020). Deeply digging the interaction effect in multiple linear regressions using a fractional-power interaction term. MethodsX, 7, 101067. doi:10.1016/j.mex.2020.101067 https://doi.org/10.1016/j.mex.2020.101067

In multiple regression Y ~ β0 + β1X1 + β2X2 + β3X1 X2 + ɛ., the interaction term is quantified as the product of X1 and X2. We developed fractional-power interaction regression (FPIR), using βX1M X2N as the interaction term. The rationale of FPIR is that the slopes of Y-X1 regression along the X2 gr…