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Both r, and rK lie between + 1 and-1. We shall not be concerned liere with ties among the u's or v's. The followiiig is a third coefficient which has been computed for all the sampling data and which we hope to consider later: (c) The Fisher-Ya.tes coefficient. Let ((i / n) be a so-called normal order statistic, i.e. the

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Summary A simple procedure of unequal probability sampling without replacement is proposed. It leads to an estimator of the population total having a smaller variance than is obtained by sampling with replacement. Other advantages of the present method are simplicity of calculation and the possibility of estimating exactly the variance of the estimator.

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