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A "super-population viewpoint' for finite population sampling.

H O Hartley, R L Sielken

    Biometrics
    |June 11, 1975
    PubMed
    Summary
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    This study introduces a novel super-population sampling technique for finite populations. This method offers a unified approach to survey design, improving parameter estimation in various sampling scenarios.

    Area of Science:

    • Statistics
    • Survey Methodology
    • Statistical Inference

    Background:

    • Classical finite population sampling and infinite population sampling theories have limitations.
    • A super-population viewpoint offers an alternative framework for statistical inference.

    Purpose of the Study:

    • To develop a new, unified technique for making inferences about finite population parameters.
    • To demonstrate the applicability of this technique across diverse survey designs.

    Main Methods:

    • Contrasting the super-population viewpoint with classical frequentist finite and infinite population sampling theories.
    • Developing a novel inferential technique applicable to any survey design.

    Main Results:

    • The proposed super-population technique is shown to be broadly applicable.

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  • Example applications include estimation of strata- and population means in stratified sampling and the use of regression estimators.

    • Conclusions:

    • The super-population viewpoint provides a flexible framework for finite population inference.
    • The developed technique enhances the estimation of population parameters in complex survey designs.