Direct Simultaneous Inference in Additive Models and its Application to Model Undernutrition

Manuel Wiesenfarth, Tatyana Krivobokova, Stephan Klasen and Stefan Sperlich ()
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Manuel Wiesenfarth: Georg-August-University Göttingen
Tatyana Krivobokova: Georg-August-University Göttingen

No 50, Courant Research Centre: Poverty, Equity and Growth - Discussion Papers from Courant Research Centre PEG

Abstract: 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.

Keywords: Additive model; Con dence band; Undernutrition; Heteroscedasticity; Locally adaptive smoothing; Kenya; Penalized splines; Varying variance (search for similar items in EconPapers)
Date: 2010-12-07, Revised 2011-07-21
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Journal Article: Direct Simultaneous Inference in Additive Models and Its Application to Model Undernutrition (2012)
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