Model Selection by Testing for the Presence of Small-Area Effects, and Application to Area-Level Data

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New important developments in small area estimation (2013, unknown): “To deal with this problem, Datta et al. (2011) propose to consider instead the predictors θ̂bench,2i,Bayes , satisfying the constraints m ∑ i=1 biθ̂ bench,2 i,Bayes = m ∑ i=1 biθ̂i,design; (6.15) m ∑ i=1 bi ( θ̂bench,2i,Bayes − m ∑ i=1 biθ̂i,design )2 =H, where H = ∑m i=1 biE[(θi − θ̄b) 2|θ̂design].”
From start to finish: a framework for the production of small area official statistics (2018, background): “Elbers et al. (2003) and Molina and Rao (2010) considered the use of a logarithmic or a logarithmic shift transformation, which are popular for income data.”
Bayesian Estimators for Small Area Models when Auxiliary Information is Measured with Error (2015, background): “Small area model selection is another interesting issue recently addressed in a frequentist context in Datta et al. (2011).”