Multivariate Small-area Estimation for Mixed-type Response Variables With Item Nonresponse

IF 1.6 4区数学 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS

Journal of Survey Statistics and Methodology Pub Date : 2023-06-28 DOI:10.1093/jssam/smad018

Haoliang Sun, Emily J. Berg, Zhengyuan Zhu

引用次数: 0

Abstract

Many surveys collect information on discrete characteristics and continuous variables, that is, mixed-type variables. Small-area statistics of interest include means or proportions of the response variables as well as their domain means, which are the mean values at each level of a different categorical variable. However, item nonresponse in survey data increases the complexity of small-area estimation. To address this issue, we propose a multivariate mixed-effects model for mixed-type response variables subject to item nonresponse. We apply this method to two data structures where the data are missing completely at random by design. We use empirical data from two separate studies: a survey of pet owners and a dataset from the National Resources Inventory. In these applications, our proposed method leads to improvements relative to a direct estimator and a predictor based on a univariate model.

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项目无响应的混合型响应变量的多变量小面积估计

许多调查收集关于离散特征和连续变量的信息，即混合型变量。感兴趣的小区域统计包括响应变量的平均值或比例以及它们的域平均值，这是不同类别变量在每个级别的平均值。然而，调查数据中的项目无响应增加了小面积估计的复杂性。为了解决这个问题，我们提出了一个针对项目无反应的混合型反应变量的多变量混合效应模型。我们将这种方法应用于两个数据结构，其中数据通过设计完全随机丢失。我们使用了来自两项独立研究的经验数据：一项是对宠物主人的调查，另一项是来自国家资源清单的数据集。在这些应用中，我们提出的方法相对于基于单变量模型的直接估计器和预测器进行了改进。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Survey Statistics and Methodology Multiple-

CiteScore

4.30

自引率

9.50%

发文量

期刊介绍： The Journal of Survey Statistics and Methodology, sponsored by AAPOR and the American Statistical Association, began publishing in 2013. Its objective is to publish cutting edge scholarly articles on statistical and methodological issues for sample surveys, censuses, administrative record systems, and other related data. It aims to be the flagship journal for research on survey statistics and methodology. Topics of interest include survey sample design, statistical inference, nonresponse, measurement error, the effects of modes of data collection, paradata and responsive survey design, combining data from multiple sources, record linkage, disclosure limitation, and other issues in survey statistics and methodology. The journal publishes both theoretical and applied papers, provided the theory is motivated by an important applied problem and the applied papers report on research that contributes generalizable knowledge to the field. Review papers are also welcomed. Papers on a broad range of surveys are encouraged, including (but not limited to) surveys concerning business, economics, marketing research, social science, environment, epidemiology, biostatistics and official statistics. The journal has three sections. The Survey Statistics section presents papers on innovative sampling procedures, imputation, weighting, measures of uncertainty, small area inference, new methods of analysis, and other statistical issues related to surveys. The Survey Methodology section presents papers that focus on methodological research, including methodological experiments, methods of data collection and use of paradata. The Applications section contains papers involving innovative applications of methods and providing practical contributions and guidance, and/or significant new findings.