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A SIMPLE PROCEDURE FOR SAMPLING πpswor 1
Author(s) -
Brewer Kenneth E. W.
Publication year - 1975
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1975.tb00954.x
Subject(s) - estimator , simple (philosophy) , mathematics , variance (accounting) , sample (material) , stability (learning theory) , rotation (mathematics) , statistics , sampling (signal processing) , simple random sample , computer science , filter (signal processing) , geometry , accounting , epistemology , chromatography , machine learning , business , computer vision , population , demography , sociology , philosophy , chemistry
Summary The author's 1963 procedure for selecting two units per stratum πpswor is generalized to any feasible fixed number of sample units. Simple closed expressions are given for the working probabilities at each draw but the formula for the joint probabilities of inclusion of pairs of units is recursive and tedious to apply. The stability of the variance estimator is believed to be close to the optimum that can be obtained using the Horvitz‐Thompson estimator of total in situations where that estimator itself is optimal. Some suggestions are made for rotation of the sample.