Variance approximation under balanced sampling plans excluding adjacent units

James H. Wright, John Stufken

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)147-160
Number of pages14
JournalJournal of Statistical Theory and Practice
Volume5
Issue number1
DOIs
StatePublished - Mar 1 2011

Keywords

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

ASJC Scopus subject areas

  • Statistics and Probability

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