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Wiesenfarth, Manuel
Krivobokova, Tatyana
Klasen, Stephan
Sperlich, Stefan
Year of Publication: 
Series/Report no.: 
Discussion Papers No. 50
This article proposes a simple and fast approach to build simultaneous confi dence bands and perform specification tests for smooth curves in additive models. The method allows for handling of spatially heterogeneous functions and its derivatives as well as heteroscedasticity in the data. It is applied to study the determinants of chronic undernutrition of Kenyan children, with particular focus on the highly non-linear age pattern in undernutrition. Model estimation using the mixed model representation of penalized splines in combination with simultaneous probability calculations based on the volume-of-tube formula enable the simultaneous inference directly, i.e. without resampling methods. Finite sample properties of simultaneous con fidence bands and specifi cation tests are investigated in simulations. To facilitate and enhance its application, the method has been implemented in the R package AdaptFitOS.
Additive model
Con dence band
Locally adaptive smoothing
Penalized splines
Varying variance
Document Type: 
Working Paper

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