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Biometrika 1966 53(3-4):559-564; doi:10.1093/biomet/53.3-4.559
© 1966 by Biometrika Trust
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A quick method of estimating the standard deviation

R. MEAD

National Vegetable Research Station Wellesbourne, Warwick *

In experimental work it is often necessary to measure the variation, between individuals from a single population, of some quantity y. The standard method is to measure yi for each individual in a sample of n and to estimate {sigma}2, the variance of the population, by s2={Sigma}(yi)2/(n–1). Often the business of measuring y is complicated and time-consuming, and yet to obtain an accurate estimate of {sigma} a fairly large sample must be used for each population. In this paper an alternative estimate s' is discussed, for which the weighing of individuals is replaced by estimated ranking of the individuals, with the weighing of group of individuals. The efficiency of s' is compared with that for other quick eatimates of {sigma} based on order statistics.



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