This paper describes an improved methodology for the accurate interpretation of recoil compressive failure data. This new procedure uses a wider portion of the data set in its interpretation than does the method of Allen and is far simpler and less data intensive than the Weibull model proposed by Hayes. Computer simulations using various statistical distributions for the intrinsic recoil compressive strength of a batch of filaments show that this method quickly and accurately converges to an accurate approximation of the mean for the sample set.
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