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Estimation in stratified random sampling: Adjustment for changes in strata composition

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Abstract

Panel studies are widely used to collect data on consumer expenditures, labor force participation and other demographic variables. Frequently, the population changes significantly over the period of interest. We consider the case when a stratified random sample is drawn with probability proportional to initial size (pps) and the value of one of the stratification factors changes over time. Information on such changes, which result in the movement of primary units from their original strata to new strata, is readily available for the sampled units but not for the nonsampled units. As a result of changes in the composition of strata, the stratified sample no longer corresponds to a pps selection within each stratum. A method of estimation based on the original selection of the sample but which incorporates the subsequent changes is proposed. It is shown that these estimates are approximately unbiased.

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References

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Authors and Affiliations

  1. Bell Laboratories, USA

    Aridaman K. Jain

Authors
  1. Aridaman K. Jain
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Additional information

An earlier version of this paper was presented at the 1978 ASA Meetings (Jain [3]).

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Jain, A.K. Estimation in stratified random sampling: Adjustment for changes in strata composition. Ann Inst Stat Math 34, 91–103 (1982). https://doi.org/10.1007/BF02481010

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  • DOI: https://doi.org/10.1007/BF02481010

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