| Title | CriSP: A tool for bump hunting |
| Publication Type | Journal Article |
| Year of Publication | 2001 |
| Authors | Harezlak, J, Heckman, NE |
| Journal | JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS |
| Volume | 10 |
| Pagination | 713-729 |
| Date Published | DEC |
| Type of Article | Article |
| ISSN | 1061-8600 |
| Keywords | bootstrap, critical smoothing parameter, growth data, multimodality testing, Smoothing |
| Abstract | We propose a test of multimodality of regression functions and their derivatives. The test statistic is a critical smoothing parameter (CriSP), giving the minimum amount of smoothing necessary to force the regression function to satisfy the null hypothesis. The p values are computed via bootstrapping. Our idea is motivated by Silverman's test concerning the number of modes in the density function. Simulation studies indicate that the test works well, even when testing for bumps in the derivative. We apply CriSP to children's growth data, to study the number of spurts of growth. |
| DOI | 10.1198/106186001317243412 |
