Systematic sampling is a minimal support design
Johan Pea, Lionel Qualité & Yves Tillé
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... |