Skinner, C.J. and Rao, J.N.K.
Jackknife variance estimation for multivariate statistics under hot-deck imputation from common donors.
Journal of Statistical Planning and Inference, 102, (1), . (doi:10.1016/S0378-3758(01)00185-9).
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We consider a survey setting where missing values in a bivariate dataset are imputed by a hot-deck procedure which imputes all missing values for a given unit from a common donor with complete responses. It is shown that such an imputation procedure may lead to bias in standard estimators and a bias-adjusted estimator is derived. The variances of both the standard estimators and the bias-adjusted estimator are evaluated and jackknife variance estimators for each are constructed. We demonstrate the asymptotic unbiasedness of these variance estimators and illustrate their behaviour in a small simulation study.
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