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- Title
Testing the monotonicity or convexity of a function using regression splines.
- Authors
WANG, Jianqiang C.; MEYER, Mary C.
- Abstract
Methods for smoothed isotonic or convex regression are useful in many applications. Sometimes the shape assumptions constitute a priori knowledge about the regression function, but often the shape is part of the research question. The authors propose tests for monotonicity and convexity using constrained and unconstrained regression splines. The tests have good large-sample properties and the small-sample behaviour is illustrated through simulations. Extensions to the partial linear model and the generalized regression model are presented. The Canadian Journal of Statistics 39: 89-107; 2011 © 2011 Statistical Society of Canada
- Subjects
MONOTONIC functions; CONVEX domains; SPLINE theory; REGRESSION analysis; MATHEMATICAL functions
- Publication
Canadian Journal of Statistics, 2011, Vol 39, Issue 1, p89
- ISSN
0319-5724
- Publication type
Article
- DOI
10.1002/cjs.10094