For dispersion data that contains both phase and group velocities, the functional relation between these quantities provides a means of simultaneously smoothing the raw data. A procedure for analyzing surface wave data from multiple events is presented that is based on the nonlinear least-squares technique with Chebyshev polynomials as the expansion functions. The degree of the fitting polynomial is determined by the F test, and estimates of the standard errors for the smoothed data are provided. The procedure is illustrated by its application to synthetic and actual data.

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