统计与决策2025，Vol.41Issue(14)：41-46,6.DOI:10.13546/j.cnki.tjyjc.2025.14.007
多目标调查背景下空间平衡抽样设计研究
Research on Spatial Balanced Sampling Design in the Context of Multi-objective Surveys
摘要
Abstract
In the traditional spatial sampling theory,geographic location information is used to select spatially representative samples.However,when the research objectives involve multiple related indicators,the traditional spatial sampling strategies that rely on a single auxiliary variable often fail to adequately capture the multi-dimensional properties of the target variables.This pa-per proposes the Multivariate Probability Proportional to Size(MPPS)spatial balanced sampling method.The method combines spatial information with multi-objective surveys,and utilizes geographic location information and attribute information of the pop-ulation units to draw representative samples.The simulation study is conducted from two dimensions:differences in overall spatial trends and differences in attribute variable correlations,aiming to examine the sampling estimation effectiveness of the new meth-od by constructing target populations and attribute variables from various perspectives and levels.Finally,an empirical analysis is performed by using the number of enterprises in the tertiary industry in Tianjin from the Fourth National Economic Census to esti-mate employment figures.Simulation studies and empirical results show that the new methods have different degrees of improve-ment under different spatial trends.The stronger the spatial auto-correlation and the stronger the attribute correlation,the higher the improvement efficiency of the new method.When the spatial distribution trends of multiple objectives are inconsistent,the new methods still have robust estimation properties.关键词
多目标调查/空间平衡抽样/空间自相关/辅助变量Key words
multi-objective survey/spatial balanced sampling/spatial auto-correlation/auxiliary variables分类
数理科学引用本文复制引用
杨雪,廖颜玉,张颂,刘丽..多目标调查背景下空间平衡抽样设计研究[J].统计与决策,2025,41(14):41-46,6.基金项目
国家社会科学基金一般项目(23BTJ058) （23BTJ058）
