Statistical Science
- Statist. Sci.
- Volume 3, Number 4 (1988), 425-441.
Monotone Regression Splines in Action
Abstract
Piecewise polynomials or splines extend the advantages of polynomials to include greater flexibility, local effects of parameter changes and the possibility of imposing useful constraints on estimated functions. Among these constraints is monotonicity, which can be an important property in many curve estimation problems. This paper shows the virtues of monotone splines through a number of statistical applications, including response variable transformation in nonlinear regression, transformation of variables in multiple regression, principal components and canonical correlation, and the use of monotone splines to model a dose-response function and to perform item analysis. Computational and inferential issues are discussed and illustrated.
Article information
Source
Statist. Sci., Volume 3, Number 4 (1988), 425-441.
Dates
First available in Project Euclid: 19 April 2007
Permanent link to this document
https://projecteuclid.org/euclid.ss/1177012761
Digital Object Identifier
doi:10.1214/ss/1177012761
JSTOR
links.jstor.org
Keywords
Regression splines monotone transformation non-linear regression semiparametric principal components analysis Eckart-Young approximation dose-response item regression function
Citation
Ramsay, J. O. Monotone Regression Splines in Action. Statist. Sci. 3 (1988), no. 4, 425--441. doi:10.1214/ss/1177012761. https://projecteuclid.org/euclid.ss/1177012761
See also
- See Comment: Leo Breiman. [Monotone Regression Splines in Action]: Comment. Statist. Sci., Volume 3, Number 4 (1988), 442--445.Project Euclid: euclid.ss/1177012762
- See Comment: Randy Eubank. [Monotone Regression Splines in Action]: Comment. Statist. Sci., Volume 3, Number 4 (1988), 446--450.Project Euclid: euclid.ss/1177012763
- See Comment: Trevor Hastie, Robert Tibshirani. [Monotone Regression Splines in Action]: Comment. Statist. Sci., Volume 3, Number 4 (1988), 450--456.Project Euclid: euclid.ss/1177012764
- See Comment: Grace Wahba. [Monotone Regression Splines in Action]: Comment. Statist. Sci., Volume 3, Number 4 (1988), 456--458.Project Euclid: euclid.ss/1177012765
- See Comment: J. O. Ramsay. [Monotone Regression Splines in Action]: Rejoinder. Statist. Sci., Volume 3, Number 4 (1988), 459--461.Project Euclid: euclid.ss/1177012766
