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Journal of Statistical Theory and Practice

, Volume 5, Issue 1, pp 147–160 | Cite as

Variance Approximation Under Balanced Sampling Plans Excluding Adjacent Units

  • James H. WrightEmail author
  • John Stufken
Article

Abstract

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-words

Variance estimation Balanced sampling plans excluding adjacent units Polygonal designs Circularly and linearly ordered populations Finite population sampling 

AMS Subject Classification

62D05 

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References

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Copyright information

© Grace Scientific Publishing 2011

Authors and Affiliations

  1. 1.AstraZeneca Pharmaceuticals LPWilmingtonUSA
  2. 2.Department of StatisticsUniversity of GeorgiaAthensUSA

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