We introduce the control sample in survey sampling as a tool for measuring the association between a possible cause X and a particular effect Y. The elements of the target population are divided in two groups according to whether X is present or not, the absence of X identifies the control group. A random sample is selected from each group with the aim of measuring the association between X and Y. We propose an unbiased estimator of the associational risk difference between groups and then generalize our approach to the problem of estimating the causal risk difference
Borgoni, R., Marasini, D., Quatto, P. (2011). Control Sample, Association and Causality. In S. Ingrassia, R. Rocci, M. Vichi (a cura di), New Perspectives in Statistical Modeling and Data Analysis (pp. 517-523). Springer [10.1007/978-3-642-11363-5_58].
Control Sample, Association and Causality
BORGONI, RICCARDO;MARASINI, DONATA;QUATTO, PIERO
2011
Abstract
We introduce the control sample in survey sampling as a tool for measuring the association between a possible cause X and a particular effect Y. The elements of the target population are divided in two groups according to whether X is present or not, the absence of X identifies the control group. A random sample is selected from each group with the aim of measuring the association between X and Y. We propose an unbiased estimator of the associational risk difference between groups and then generalize our approach to the problem of estimating the causal risk difference
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