Straightforward intermediate rank tensor product smoothing in mixed models
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Summary
A new approach to the construction of tensor product smooths is proposed, which allows the smooth to be written as the sum of some fixed effects and some sets of i.d. Gaussian random effects, and is useable with almost any flexible mixed modelling software, allowing smooth interaction terms to be readily incorporated into any Generalized Linear Mixed Model.
- Type
- article
- Published
- 2012-02-11
- Cited by
- 188
- References
- 38
- Access
- Open access
- OpenAlex
- https://openalex.org/W2145514150
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:13401756
Keywords
Smoothing, Tensor product, Mathematics, Smoothness, Tensor (intrinsic definition)
References
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- Penalized likelihood regression: General formulation and efficient approximation
- Flexible smoothing with B-splines and penalties
- Generalized Additive Models: An Introduction With R
- A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines
- Stable and Efficient Multiple Smoothing Parameter Estimation for Generalized Additive Models
- Approximate inference in generalized linear mixed models
- Multivariate calibration with temperature interaction using two-dimensional penalized signal regression
- Simultaneous selection of variables and smoothing parameters in structured additive regression models
- Mixed-Effects Models in S and S-Plus
- P-spline ANOVA-type interaction models for spatio-temporal smoothing
- Fast stable restricted maximum likelihood and marginal likelihood estimation of semiparametric generalized linear models
- Inference in generalized additive mixed modelsby using smoothing splines
- Improving the precision of the daily egg production method using generalized additive models
- Smoothing spline Gaussian regression: more scalable computation via efficient approximation
- Spline Models for Observational Data
- R: A language and environment for statistical computing.
Cited by
- Fast algorithm for smoothing parameter selection in multidimensional generalized P-splines
- On Generalized Additive Models For Regression With Functional Data
- Flexible distributed lag models and their application to geophysical data
- Bayesian Functional Generalized Additive Models with Sparsely Observed Covariates
- Functional Generalized Additive Models
- Fast smoothing parameter separation in multidimensional generalized P-splines: the SAP algorithm
- Modeling regional economic dynamics: Spatial dependence, spatial heterogeneity and nonlinearities
- Coping with fast climate change in northern ecosystems: mechanisms underlying the population-level response of a specialist avian predator
- Functional Additive Mixed Models
- Efficient two-dimensional smoothing with PP-spline ANOVA mixed models and nested bases
- Restricted likelihood ratio tests for linearity in scalar-on-function regression
- Twenty years of P-splines
- On the ambiguity of interaction and nonlinear main effects in a regime of dependent covariates
- Fast Approximate Inference for Arbitrarily Large Semiparametric Regression Models via Message Passing
- Participatory Sensing Data Tweets for Micro-Urban Real-Time Resiliency Monitoring and Risk Management
- Modeling Exposure-Lag-Response Associations with Penalized Piece-wise Exponential Models
- Antagonistic interactions between an invasive alien and a native coccinellid species may promote coexistence.
- Value of urban views in a bay city: Hedonic analysis with the spatial multilevel additive regression (SMAR) model
- Generalized Additive Models for Gigadata: Modeling the U.K. Black Smoke Network Daily Data
- Estimating plant abundances from crown cover and forest structure data reveals size-dependent patterns of rarity in subtropical Australia
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