Effect of dichotomizinlg a continuous variable on the model structure in multiple linear regression models

This mansscript studies analytically the consequences of changing the scale of measurement of a continuous independent variable in a multiple linear regression setting. Assuming the continuous outcome variable, a continuous exposure variable, and a continuous control variable follow a trivariate Gaussian distribution, we examine the effect upon the structure of the modei of dichotomizing the continuous control variable. It is shown that, after …