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On sampling from a rectangular grid

Author

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  • Shahariar Huda

    (Kuwait University)

Abstract

The problem of estimating the population total of a variable of interest by sampling from a finite population with units arranged in a rectangular array is considered. As an alternative to simple random sampling, a two-step sampling procedure is proposed. The procedure first chooses some rows (columns) by simple random sampling without replacement, then some columns (rows) by simple random sampling without replacement and uses the sample consisting of the units corresponding to the intersection of rows and columns selected. An unbiased estimator of the population total, using this step-wise sampling procedure, is proposed. The variance of the estimator is derived and further, an unbiased estimator for that variance is obtained.

Suggested Citation

  • Shahariar Huda, 2018. "On sampling from a rectangular grid," Proceedings of International Academic Conferences 8109622, International Institute of Social and Economic Sciences.
    • Handle: RePEc:sek:iacpro:8109622
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    File URL: https://iises.net/proceedings/44th-international-academic-conference-vienna/table-of-content/detail?cid=81&iid=021&rid=9622
    File Function: First version, 2018
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    More about this item

    Keywords

    Population total; Simple random sampling without replacement; Step-wise sampling; Unbiased estimator;
    All these keywords.

    JEL classification:

    • C83 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Survey Methods; Sampling Methods
    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C00 - Mathematical and Quantitative Methods - - General - - - General

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