Household surveys provide information on both person-level and household-level characteristics. To ensure consistent estimates between both levels, statistical offices often use integrated weights that are equal for all persons within a household and the household itself. However, these integrated weights ignore the individual patterns of the persons, and the heterogeneity within a household is no longer reflected. As an alternative to integrated weighting, we propose a two-level generalised regression estimator that is capable of both ensuring consistent person and household estimates and allowing for different weights for persons within a household. A Monte Carlo simulation supports the superiority of our two-level generalised regression estimator compared with integrated weighting.

中文翻译：

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家庭调查中一致估计的两水平 GREG 估计量

住户调查提供有关个人和住户层面特征的信息。为确保两个级别之间的估计值一致，统计局通常使用对一个家庭内的所有人和家庭本身都相等的综合权重。然而，这些综合权重忽略了个人的个体模式，不再反映家庭内部的异质性。作为综合加权的替代方案，我们提出了一个两级广义回归估计器，它能够确保一致的个人和家庭估计，并允许家庭内的个人使用不同的权重。与综合加权相比，蒙特卡罗模拟支持我们的两级广义回归估计器的优越性。