The spectra of Sinai microwave billiards and rectangular billiards with sta
tistically distributed circular scatterers have been taken as a function of
the position of one wall, and of one of the scatterers, respectively. Wher
eas in the first case the velocity distribution and correlations obey the u
niversal behaviour predicted by Simons and Altshuler, in the second case a
completely different behaviour is observed. This is due to the fact that a
shift of one wall changes the wave function globally whereas the displaceme
nt of one scatterer only leads to a local perturbance.