Abstract

Abstract This paper is concerned with the use of the mean square successive difference as a method of estimating variance and testing for homogeneity in samples from various non-normal populations where the order of the observations can be recorded. It is shown that the relative efficiency of such estimates of variance increases as the kurtosis of the population sampled increases and any trend effect is virtually eliminated. The actual distribution varies but can be approximately dealt with by means of a Pearson Type III curve with the correct moments.

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