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Een noodzakelijke correctie van de overschrijdingsgrenzen voor steekproefgemiddelden bij toepassing van stratified sampling
Author(s) -
Leeuw Th. A.
Publication year - 1948
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1948.tb00354.x
Subject(s) - stratified sampling , mathematics , statistics , sampling (signal processing) , population mean , population , control chart , chart , physics , demography , computer science , process (computing) , estimator , detector , sociology , optics , operating system
Summary (A necessary correction of the control chart limits for averages of samples in the case of stratified sampling). Application of stratified sampling results in smaller fluctuations of sampling than where the same total number of individuals is drawn at random from the superposed strata. The proportion of the standard errors of the averages obtained by these two sampling methods may be expressed by a factor ϕ (o ≤ϕ≤ 1). The probability limits, between which the random sampling results would be fluctuating normally, should be corrected according to this factor. A few properties of ϕ are discussed. This is graphically illustrated. Remarks have been added about the relation between the shape of the population of the sampling averages and the population from which the individuals are drawn, and about the difficulties which arise when the populations are non‐Gaussian.