Cluster Distance-Based Regression

Vera, José Ramón Navarro; Val, Eva Boj del

doi:10.1007/978-981-15-3311-2_31

Cited by 1 publication

(1 citation statement)

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“…Another approach would be to follow the rationale of the distance-based regression model proposed by Cuadras and Arenas. 32 In this case, the all-purpose measure of similarity given by Gower 33 is the most appropriate, 34 where b 1 is the number of continuous variables, R l is the range of the l-th continuous variable, a and d are the number of positive and negative matches, respectively, for the b 2 dichotomous variables, and α is the number of matches for the b 3 categorical non-binary variables. Then, d i j 2 = 1 − s i j represents the squared Euclidean distance between the units and therefore D = false( d i j false) is the matrix of Euclidean distances between the units related to an unknown configuration.…”

Section: Mds-based Linear Calibration (Mdsc)mentioning

confidence: 99%

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

Vera

Zuleta

Rueda

2023

Stat Methods Med Res

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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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