In this paper sign and Wilcoxon tests for testing the null hypothesis of quadratic regression versus the alternative, cubic regression are proposed. It is shown that in the case of a simple design consisting of multiple Y observations at each of the four levels of x, the proposed tests perform reasonably well as compared to their parametric competitors, while in the case of a general design consisting of a large number of levels of x, the loss in Pitman efficiency is considerable. However their computational simplicity appears remarkable.
@article{urn:eudml:doc:40754,
title = {Sign and Wilcoxon tests for quadratic versus cubic regression.},
journal = {Trabajos de Estad\'\i stica e Investigaci\'on Operativa},
volume = {35},
year = {1984},
pages = {112-120},
zbl = {0731.62097},
mrnumber = {MR0829916},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40754}
}
Gore, A. P.; Madhava Rao, K. S. Sign and Wilcoxon tests for quadratic versus cubic regression.. Trabajos de Estadística e Investigación Operativa, Tome 35 (1984) pp. 112-120. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40754/