Inclusion probability proportional to size (IPPS) sampling designs are often used in surveys, especially for the selection of primary sampling units in the context of multi-stage sampling. Under IIPS sampling, the exact second-order inclusion probabilities are often difficult to obtain, in which case the usual design-unbiased Horvitz-Thompson variance estimator and Sen-Yates-Grundy variance estimator cannot be computed. This led researchers to develop alternative variance estimators based on approximations of the second-order inclusion probabilities in terms of the first-order inclusion probabilities. However, the resulting variance estimators are generally design-biased. In this paper, we first show that all the approximate variance estimtors can be written using one common form. Then, using the Rao-Sampford IPPS sampling design, we conduct an extensive simulation study to investigate the performance of the alternative variance estimators in terms of relative bias and relative stability.
|Citazione:||Haziza, D., Mecatti, F., & Rao, J. (2008). Evaluation of some approximate variance estimators under the Rao-Sampford unequal probability sampling design. METRON, 1, 89-106.|
|Tipo:||Articolo in rivista - Articolo scientifico|
|Carattere della pubblicazione:||Scientifica|
|Titolo:||Evaluation of some approximate variance estimators under the Rao-Sampford unequal probability sampling design|
|Autori:||Haziza, D; Mecatti, F; Rao, JNK|
|Data di pubblicazione:||apr-2008|
|Appare nelle tipologie:||01 - Articolo su rivista|