The amplitudes of shear-waves and Lg-waves recorded at UK seismograph stations from local earthquakes in the range 0-600km have been subjected to an analysis of variance, allowing separation of the effects of earthquake size, distance and local attenuation near each station. The analysis of 385 amplitude readings at 28 stations from 39 earthquakes showed that the effects of both distance and station attenuation were statistically significant. Tables of corrections for both distance and station effects have been derived to allow local magnitude ML to be determined more accurately from horizontal and vertical component records. One set of tables allows the estimation of an ML which is consistent with the original Richter definition of ...