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Abstract：
This manuscript develops few efficient difference and ratio kinds of imputations to handle the situation of missing observations given that these observations are polluted by the measurement errors (ME). The mean square errors of the developed imputations are studied to the primary degree approximation by adopting Taylor series expansion. The proposed imputations are equated with the latest existing imputations presented in the literature. The execution of the proposed imputations is assessed by utilizing a broad empirical study utilizing some real and hypothetically created populations. Appropriate remarks are made for sampling respondents regarding practical applications.
摘要：
鉴于这些观测值受到测量误差（ME）的污染，因此该手稿很少开发有效的差异和比率类型的插补来处理缺少观测值的情况。通过采用泰勒级数展开式，研究了已开发的插补的均方误差，使其达到初级近似。拟议的估算与文献中提出的最新的估算等同。通过利用一些真实和假设创建的种群进行广泛的实证研究来评估所提出的估算的执行情况。针对实际应用的抽样受访者进行了适当的评论。
