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Stats, Volume 5, Issue 1
2022 March - 18 articles
Cover Story: Variable selection plays an important role in model-based small area estimation. A simple and effective method for variable selection under a three-fold sub-subarea model, linking sub-subarea means to related covariates and random effects at the area, sub-area, and sub-subarea levels, is presented. The proposed method transforms the subarea means to reduce the three-fold model to a standard regression model and applies commonly used criteria for variable selection, such as AIC and BIC, to the reduced model. The resulting criteria depend on the unknown sub-subarea means, which are estimated using the sample sub-subarea means. The estimated selection criteria are used for variable selection. View this paper
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