Sampling With Control Variables

E. C. Fieller; H. O. Hartley

doi:10.1093/biomet/41.3-4.494

January 1, 1954Biometrika

Sampling With Control Variables

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Key Points

To establish a mathematical framework for utilizing auxiliary control variables to enhance precision and reduce estimation variance during sampling.
Derived mathematical formulations evaluating the variance of sample estimators when conditioned on known control variables.
Assessed theoretical efficiency gains across varying degrees of correlation between target variables and auxiliary controls.
Demonstrated that incorporating correlated control variables consistently decreases the sampling variance of parameter estimates.
Showed that the magnitude of variance reduction is directly proportional to the strength of the linear correlation with the auxiliary variables.

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Implication

Methodological analysis reveals increased estimation precision in sample surveys, indicating that auxiliary control variables substantially minimize sampling error.

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Cite This Study

Fieller et al. (1954) studied this question.

synapsesocial.com/papers/6a0e63d7686442d1c4c84558 https://doi.org/10.1093/biomet/41.3-4.494

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Sampling With Control Variables

Key Points

No abstract yet

Implication

Discussion

Cite This Study

Sampling With Control Variables

Key Points

No abstract yet

Implication

Discussion

Cite This Study

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