TY - JOUR
TI - Systematic sampling is a minimal support design
UR - http://www.sciencedirect.com/science/article/pii/S0167947307001661
KW - Minimum supportdesign; Systematicsampling; Unequal probability sampling; Survey sampling
LA - en
AU - Pea, J.
AU - Qualité, L.
AU - Tillé, Y.
PY - 2007
DA - 23.3
AB - 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.
T2 - Computational Statistics and Data Analysis
IS - 12
VL - 51
SP - 5591
EP - 5602
ER -