Generalized monotonic regression based on B-splines with an application to air pollution data.

@article{Leitenstorfer2007GeneralizedMR,
  title={Generalized monotonic regression based on B-splines with an application to air pollution data.},
  author={Florian Leitenstorfer and Gerhard Tutz},
  journal={Biostatistics},
  year={2007},
  volume={8 3},
  pages={654-73}
}
In many studies, it is known that one or more of the covariates have a monotonic effect on the response variable. In these circumstances, standard fitting methods for generalized additive models (GAMs) generate implausible results. A fitting procedure is proposed that incorporates monotonicity assumptions on one or more smooth components within a GAM framework. The algorithm uses the monotonicity restriction for B-spline coefficients and provides componentwise selection of smooth components… CONTINUE READING

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