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Note on Systematic Sampling
Author(s) -
Bennett B. M.
Publication year - 1987
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710290221
Subject(s) - systematic sampling , statistics , stratified sampling , stratum , sampling (signal processing) , mathematics , simple random sample , sampling design , poisson sampling , sample size determination , population , sample (material) , variance (accounting) , slice sampling , importance sampling , computer science , demography , monte carlo method , biology , paleontology , chemistry , accounting , filter (signal processing) , chromatography , sociology , business , computer vision
In the use of systematic sampling in surveys it is known that the effect of negative correlations (=ϱ wst ) between deviations from stratum means of pairs of items in the same systematic sample is such that the resulting variance V ( ȳ st ) can be zero for systematic sample means ȳ st (e.g., Cochran, 1977, ch. 8). For such populations systematic sampling is then superior both to stratified sampling (one unit per stratum) and to simple random sampling. Cochran ( loc. cit. ) does not identify special types of finite populations for which ϱ wst = −1/( n ‐1) and hence V(ȳ st ) =0. It is the purpose of this paper to present one type of population for which this condition is satisfied.