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Biometrika 1995 82(2):453-460; doi:10.1093/biomet/82.2.453
© 1995 by Biometrika Trust
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MISCELLANEA

Variance estimation under two-phase sampling with application to imputation for missing data

J. N. K. RAO and R. R. SITTER

Department of Mathematics and Statistics, Carleton University Ottawa, Canada K1S 5 B6

Ratio estimation under two-phase simple random sampling is studied. A new linearisation variance estimator that makes more complete use of the sample data than a standard one is proposed. A jackknife variance estimator and its linearised version are also obtained. Unconditional and conditional repeated sampling properties of these variance estimators are studied through simulation. Applications to ‘mass’ imputation under two-phase sampling and deterministic imputation for missing data are also given.

Key Words: Jackknife variance estimation • Linearisation variance estimation • Mass imputation • Ratio imputation • Uniform response


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