Differences between the multiple linear regression model with Corrected R2 and Corrected F and the ordered variable regression model with R2 and F when intercorrelation is present are illustrated with simulated and real-world data.
Baird, G. L., & Bieber, S. L. (2019). Sampling the porridge: A comparison of ordered variable regression with F and R2 and multiple linear regression with corrected F and R2 in the presence of multicollinearity. Journal of Modern Applied Statistical Methods, 18(1), eP2522. doi: 10.22237/jmasm/1556668860