We apply a recently proposed nonlinear noise reduction method to time sequences from two different experiments (Taylor-Couette flow and NMR-laser chaos). We demonstrate that it is not difficult to choose the parameters of this algorithm, even though we use no other information about the underlying dynamics than the data itself. The noise reduction is very robust with respect to changes in the choice of parameters. The reliability of the result is tested by an analysis of the corrections. We discuss the effect of noise reduction on estimates of dimensions, entropies and Liapunov exponents. For comparison we process one of the sets, densely sampled Taylor-Couette flow data, with a global SVD filter.