Durbin, J.; (1953) Some results in sampling theory when the units are selected with unequal probabilities. Journal of the Royal Statistical Society: Series B (Methodological) , 15 (2) pp. 262-269.
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The main purpose of the present paper is to give a rule for calculating estimates of sampling error which can be applied to multi-stage designs of any degree of complexity. The rule is an extension of that given by Yates (1949) for the case of equal probabilities of selection. The paper goes on to discuss the relation between the theories of sampling with and without replacement and two approximate procedures are described which are easy to apply but lead to slight overestimates of sampling error.
|Title:||Some results in sampling theory when the units are selected with unequal probabilities|
|UCL classification:||UCL > School of Arts and Social Sciences > Faculty of Social and Historical Sciences > Economics|
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