Some remarks on unequal probability sampling designs without replacement
Résumé – A set of demands is presented which should be satisfied
by a good unequal-probability sampling method without replacement. First it is shown that some of these demands are contradictory. In particular, it is shown that a sequential algorithm that ensures strictly positive joint inclusion probabilities does not exist; not does there exist a sequential procedure that yields a result which is not dependent on the order of units in the data file. Next, a way is discussed to build approximations of the joint-inclusion probabilities for sampling design implemented by means of a sequential algorithm and preceded by a random sort of the data file. An original approximation is proposed which resorts to a method of adjustment to marginal totals. Finally, several approximations are compared to systematic sampling, and to Sunter’s method.
Citation Tillé, Y. (1996). Some remarks on unequal probability sampling designs without replacement. Annales d'Economie et de Statistique, 44, 177-189.
Type Article de périodique (Anglais)
Date de publication 24-3-1996
Nom du périodique Annales d'Economie et de Statistique
Volume 44
Pages 177-189
URL http://annales.ensae.fr/anciens/n44/vol44-08.pdf