Abstract

Abstract Abstract Although most applications of stratified sampling represent sampling from a finite population, π(N), consisting of k mutually exclusive sub-populations or strata, n, (N,), it is for purposes of theoretical investigations convenient to deal with a hypothetical population n, represented by a distribution function f(y), a < y < b. This hypothetical population likewise consists of k mutually exclusive strata, πi , i = 1,.2 ... k. The mean of this population is µi being the mean of ni. By means of a random sample of n observations, ni of which are selected from πi , µ, is estimated by: being the estimate of µi .

Keywords

Stratified samplingMathematicsPopulationPopulation meanSampling (signal processing)Stratification (seeds)Sample (material)StatisticsSample mean and sample covarianceDistribution (mathematics)Sampling designCombinatoricsSimple random sampleFunction (biology)Mathematical analysisComputer sciencePhysicsDemography

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Publication Info

Year
1950
Type
article
Volume
1950
Issue
3-4
Pages
203-213
Citations
229
Access
Closed

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Tore Dalenius (1950). The Problem of Optimum Stratification. Scandinavian Actuarial Journal , 1950 (3-4) , 203-213. https://doi.org/10.1080/03461238.1950.10432042

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DOI
10.1080/03461238.1950.10432042