Variance Approximation Under Balanced Sampling Plans Excluding Adjacent Units
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Hedayat, Rao and Stufken (1988a, 1988b) first introduced balanced sampling plans for the exclusion of contiguous units. Sampling plans that exclude the selection of contiguous units within a given sample, while maintaining a constant second-order inclusion probability for non-contiguous units, were investigated for finite populations of N units arranged in a circular, one-dimensional ordering. Although significant advancements have been achieved concerning the generalization and existence of such sampling plans for finite, one-dimensional populations, many other aspects of these plans warrant further investigation. We present the results of an investigation of three biased estimators of the variance of the Horvitz-Thompson estimator of the population mean under such plans.
Key-wordsVariance estimation Balanced sampling plans excluding adjacent units Polygonal designs Circularly and linearly ordered populations Finite population sampling
AMS Subject Classification62D05
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- Hedayat, A.S., Rao, C.R., Stufken, J., 1988. Designs in survey sampling avoiding contiguous units. In Handbook of Statistics, Vol. 6, Krishnaiah, P.R., and Rao, C.R. (Editors), Elsevier, Amsterdam, pp. 575–583.Google Scholar