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Related Experiment Videos

Estimating the population median by nomination sampling.

T R Willemain

    Journal of the American Statistical Association
    |December 1, 1980
    PubMed
    Summary
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    Nomination sampling, which ranks the largest values from random samples, provides a favorable estimate of the population median. This method is practical for historical data with extreme values or when participants influence case selection.

    Area of Science:

    • Statistics
    • Survey Methodology

    Background:

    • Traditional methods for estimating population medians rely on simple random sampling.
    • Extreme value data or participant-driven sampling introduces challenges for standard estimation techniques.

    Purpose of the Study:

    • To introduce and evaluate nomination sampling as an alternative method for estimating population medians.
    • To explore the utility of nomination sampling in scenarios with historical extreme value data or selective respondent participation.

    Main Methods:

    • Nomination sampling involves selecting the largest values (nominees) from multiple independent random samples.
    • These nominees are rank-ordered, and the population median is estimated via interpolation between specific order statistics.

    Main Results:

    Keywords:
    Estimation TechnicsPopulation SizeResearch MethodologySampling StudiesStudiesTechnical Report

    Related Experiment Videos

    • The nomination sampling estimate demonstrates favorable comparison to the sample median derived from simple random sampling.
    • This technique offers a viable approach for estimating population medians when only extreme values are available in historical datasets.

    Conclusions:

    • Nomination sampling is an effective and practical method for estimating population medians, particularly in specialized data collection contexts.
    • The approach addresses limitations of simple random sampling in scenarios involving extreme values or participant-influenced sampling.