Systematic sampling is a minimal support design
Abstract In order to select a sample in a finite population of N units with given inclusion probabilities, it is possible to define asamplingdesign on at most N samples that have a positive probability of being selected. Designs defined on minimal sets of samples are called minimum supportdesigns. It is shown that, for any vector of inclusion probabilities, systematicsampling always provides a minimum supportdesign. This property makes it possible to extensively compute the samplingdesign and the joint inclusion probabilities. Random systematicsampling can be viewed as the random choice of a minimum supportdesign. However, even if the population is randomly sorted, a simple example shows that some joint inclusion probabilities can be equal to zero. Another way of randomly selecting a minimum supportdesign is proposed, in such a way that all the samples have a positive probability of being selected, and all the joint inclusion probabilities are positive.
Keywords Minimum supportdesign; Systematicsampling; Unequal probability sampling; Survey sampling
Citation Pea, J., Qualité, L., & Tillé, Y. (2007). Systematic sampling is a minimal support design. Computational Statistics and Data Analysis, 51(12), 5591-5602.
Type Journal article (English)
Date of appearance 23-3-2007
Journal Computational Statistics and Data Analysis
Volume 51
Issue 12
Pages 5591-5602
URL http://www.sciencedirect.com/science/article/pii/S0167947...