I used two methods (A and B) to obtain measurements in a group of subjects. The methods (ways of measuring) are different, but they should measure the same property.

I performed linear regressions to analyze the relation between the measurements (m_A and m_B) and another property (p) of the subjects:

m_A = b_A * p + c_A

m_B = b_B * p + c_B

I am interested in the regression coefficients (b_A and b_B). I would like to know if they differ significantly.

Is there a way to test for significant differences between the regression coefficients? Please keep in mind that the same subjects were used for both measurements.

Thanks in advance.