  A more complete theoretical model of testing Lorentz violation by the
comparison of atomic clocks is developed in the Robertson-Mansouri-Sexl
kinematic framework. As this frame postulates the deviation of the coordinate
transformation from the Lorentz transformation, from the viewpoint of the
transformation violations on time and space, the LI violating effect in the
atomic clock comparison can be explained as two parts: time-delay effect
$\alpha \frac {v^2}{c^2}$ and structure effect $-\frac {\beta+2\delta}{3} \frac
{v^2}{c^2}$. Standard model extension is a widely used dynamic frame to
characterize the Lorentz violation, in which a space-orientation dependence
violating background field is regarded as the essential reason for the Lorentz
violation effect. Compared with the RMS frame which only indicates the
kinematic properties with the coordinate transformation, this dynamic frame
provides a more complete and clear description for the Lorentz violation
effect.
