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Comparison of ratio estimators in two-phase sampling

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Summary

To estimate the finite population mean,\(\bar Y\), a two-phase sample may be selected. A simple random sample of sizen′ is chosen, and a concomitant variable,X, is measured for all units. Then, a simple random subsample of sizen (0<n≦n′) is chosen, andY is measured. Seven ratio-type estimators of\(\bar Y\) are given, and their biases and mean square errors determined toO((n′) −2). Then, the estimators are compared (a) without any assumptions about the relation betweenY andX, and (b) assuming thatY andX are linearly related.

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References

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Authors and Affiliations

  1. Central Bureau of Statistics, Ghana

    K. T. DeGraft-Johnson & J. Sedransk

  2. University of Wisconsin, USA

    K. T. DeGraft-Johnson & J. Sedransk

Authors
  1. K. T. DeGraft-Johnson
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  2. J. Sedransk
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DeGraft-Johnson, K.T., Sedransk, J. Comparison of ratio estimators in two-phase sampling. Ann Inst Stat Math 26, 339–350 (1974). https://doi.org/10.1007/BF02479829

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  • DOI: https://doi.org/10.1007/BF02479829

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