Testing equality of coefficients between separate regression
Posted: Tue Jul 26, 2011 10:09 pm
Hi,
I would like to test whether the parameters a2 and b2 are equal in the following separate linear OLS regressions:
Y1=a1+a2X1+a3X2+a4X3+...
Y1=b1+b2X4+b3X2+b4X3+...
The models have the same dependent and control variables; only the partitioning variables X1 and X4 differ and I have to test whether X4 is significantly stronger related to Y1 compared to X1.
However, X1 and X4 exhibit a very high correlation (r > 0.85), so I would like to estimate them in separate models to avoid multicollinearity, instead of using a dummy approach (I am also required to run two separate regressions so that my results are comparable with previous research).
I know that the equality of coefficients within a single equation can be tested using the Wald test in Eviews 7, but is there a way do this for separate equations?
Thank you in advance.
I would like to test whether the parameters a2 and b2 are equal in the following separate linear OLS regressions:
Y1=a1+a2X1+a3X2+a4X3+...
Y1=b1+b2X4+b3X2+b4X3+...
The models have the same dependent and control variables; only the partitioning variables X1 and X4 differ and I have to test whether X4 is significantly stronger related to Y1 compared to X1.
However, X1 and X4 exhibit a very high correlation (r > 0.85), so I would like to estimate them in separate models to avoid multicollinearity, instead of using a dummy approach (I am also required to run two separate regressions so that my results are comparable with previous research).
I know that the equality of coefficients within a single equation can be tested using the Wald test in Eviews 7, but is there a way do this for separate equations?
Thank you in advance.