geoaddSAE2: Geoadditive Small Area Estimation for Area-Level Model
Fits area-level geoadditive small area estimation (SAE)
models by extending the Fay-Herriot area-level model with linear,
nonlinear, and spatial effects. The Fay-Herriot model is described by
Fay and Herriot (1979) <doi:10.1080/01621459.1979.10482505>.
Geoadditive models combine nonlinear covariate effects and spatial
variation as described by Kammann and Wand (2003)
<doi:10.1111/1467-9876.00385>, while their application to small area
estimation is discussed by Pusponegoro et al. (2019)
<doi:10.21108/JDSA.2019.2.15>. Nonlinear covariate effects are represented
using penalized splines, while spatial effects are represented using a
smooth function of geographic coordinates. Models are estimated using
restricted maximum likelihood (REML), and mean squared error (MSE) is
estimated using a parametric bootstrap. The package also provides
comparisons with the Fay-Herriot and spatial Fay-Herriot (SFH) models.
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