Encyclopedia of Biostatistics 2005
DOI: 10.1002/0470011815.b2a14034
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Spline Smoothing

Abstract: Over the past few decades, several methods for fitting smooth curves to data have been proposed and intensively studied. Among these methods are kernel smoothers, orthogonal series estimators, wavelet smoothers, and spline smoothers. This entry provides a brief description of the commonly used spline smoothers – regression splines, smoothing splines, and penalized splines.

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Cited by 2 publications
(2 citation statements)
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“…While immediate habitat had no effect on behavior, we hypothesized that human population density might be relevant when calculated across a larger spatial scale. We therefore used a 2.5-minute resolution population density raster from the United Nations World Population Prospects (UNWPP, 2015 population densities adjusted to country totals) 37 to compare the effect of density across buffers of the following radiuses: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 60, 70, 80, 90, 100, 200, and 300 km. In a simple human population density model that also takes regional variation into account (logit(prob) ~ human_pop_density + Latitude*Longitude), human population density had a significant effect across a wide range of spatial scales, but was strongest with ~20-50km buffers (black line in Extended Data Fig.…”
Section: Ecological Modelingmentioning
confidence: 99%
“…While immediate habitat had no effect on behavior, we hypothesized that human population density might be relevant when calculated across a larger spatial scale. We therefore used a 2.5-minute resolution population density raster from the United Nations World Population Prospects (UNWPP, 2015 population densities adjusted to country totals) 37 to compare the effect of density across buffers of the following radiuses: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 60, 70, 80, 90, 100, 200, and 300 km. In a simple human population density model that also takes regional variation into account (logit(prob) ~ human_pop_density + Latitude*Longitude), human population density had a significant effect across a wide range of spatial scales, but was strongest with ~20-50km buffers (black line in Extended Data Fig.…”
Section: Ecological Modelingmentioning
confidence: 99%
“…Different from previous studies, to examine the linear trend across levels of 25(OH) D, we further performed spline smoothing analysis and threshold effect analysis in the current study, which were relatively novel in studies examining the respondents' dose-response relationship between 25(OH) D and frailty. Instead of a priori assumptions, spline smoothing analysis is a form of mixed modelling based on the generalized additive model (GAM) [48], whereby a set of associated items, for example, 25(OH) D and frailty, can visually demonstrate the linear or curvilinear relationship by figures. The threshold effect analysis, which is based on the piece-wise regression model [49], can further examine whether this relationship is segmental.…”
Section: Discussionmentioning
confidence: 99%