Level dynamics measurements have been performed in a Sinai microwave billia
rd as a function of a single length, as well as in rectangular billiards wi
th randomly distributed disks as a function of the position of one disk. In
the first case the field distribution is changed globally, and velocity di
stributions and autocorrelation functions are well described by universal f
unctions derived by Simons and Altshuler. In the second case the field dist
ribution is changed locally. Here another type of universal correlation is
observed. It can be derived under the assumption that chaotic wave function
s may be described by a random superposition of plane waves.