The problem of variance estimation for two-phase sampling was considered by Särndal et al. (1992). Hidiroglou et al. (2009) studied the properties of the proposed estimators theoretically while Haziza et al. (2001) empirically studied the performances of the proposed estimators. In this paper a few alternative variance estimators have been proposed. The proposed variance estimators are found to be more efficient than the existing estimators when the study variable is proportional to the auxiliary variable. Empirical investigations also reveal that the proposed variance estimators fare better in respect of efficiency and preserving non-negativity property

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