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A unified approach based on multidimensional scaling for calibration estimation in survey sampling with qualitative auxiliary information

Survey calibration is a widely used method to estimate the population mean or total score of a target variable, particularly in medical research. In this procedure, auxiliary information related to the variable of interest is used to recalibrate the estimation weights. However, when the auxiliary in...

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Published in:Statistical methods in medical research 2023-04, Vol.32 (4), p.760-772
Main Authors: Vera, J Fernando, Sánchez Zuleta, Carmen Cecilia, Rueda, Maria del Mar
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Language:English
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creator Vera, J Fernando
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description Survey calibration is a widely used method to estimate the population mean or total score of a target variable, particularly in medical research. In this procedure, auxiliary information related to the variable of interest is used to recalibrate the estimation weights. However, when the auxiliary information includes qualitative variables, traditional calibration techniques may be not feasible or the optimisation procedure may fail. In this article, we propose the use of linear calibration in conjunction with a multidimensional scaling-based set of continuous, uncorrelated auxiliary variables along with a suitable metric in a distance-based regression framework. The calibration weights are estimated using a projection of the auxiliary information on a low-dimensional Euclidean space. The approach becomes one of the linear calibration with quantitative variables avoiding the usual computational problems in the presence of qualitative auxiliary information. The new variables preserve the underlying assumption in linear calibration of a linear relationship between the auxiliary and target variables, and therefore the optimal properties of the linear calibration method remain true. The behaviour of this approach is examined using a Monte Carlo procedure and its value is illustrated by analysing real data sets and by comparing its performance with that of traditional calibration procedures.
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source Applied Social Sciences Index & Abstracts (ASSIA); SAGE
subjects Calibration
Continuity (mathematics)
Euclidean geometry
Medical research
Monte Carlo Method
Multidimensional Scaling Analysis
Optimization
Oxidation
Polls & surveys
Variables
title A unified approach based on multidimensional scaling for calibration estimation in survey sampling with qualitative auxiliary information
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