This paper discusses the problem of testing the equality of two non-parametric regression curves against one-sided alternatives when the design points are common and when they are distinct. Two classes of tests are given for each case. One class of tests requires the estimation of the common regress
Bandwidth selection for power optimality in a test of equality of regression curves
β Scribed by K.B. Kulasekera; J. Wang
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 347 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
We consider the bandwidth selection in a test of equality of regression curves given by . We propose two sub-sample methods that determine data-based bandwidths maximizing the power while keeping the asymptotic size of the test to be fixed at a given level. The optimality is proved and some simulation results are presented.
π SIMILAR VOLUMES
For the problem of checking linearity in a heteroscedastic nonparametric regression model under a ΓΏxed design assumption, we study maximin designs which maximize the minimum power of a nonparametric test over a broad class of alternatives from the assumed linear regression model. It is demonstrated
## Abstract The power of Chow, linear, predictive failure and cusum of squares tests to detect structural change is compared in a twoβvariable random walk model and a onceβforβall parameter shift model. In each case the linear test has greatest power, followed by the Chow test. It is suggested that