This paper provides a means for testing the hypothesis that two simple regression lines are parallel, when the two sets of error terms have two arbitrary unknown continuous distributions. The non-parametric test which is developed here is analogous to the two-sample Wilcoxon test. At the end of the paper, two additional problems in non-parametric regression analysis are briefly referred to.
@article{1176342664,
author = {Potthoff, Richard F.},
title = {A Non-Parametric Test of Whether Two Simple Regression Lines are Parallel},
journal = {Ann. Statist.},
volume = {2},
number = {1},
year = {1974},
pages = { 295-310},
language = {en},
url = {http://dml.mathdoc.fr/item/1176342664}
}
Potthoff, Richard F. A Non-Parametric Test of Whether Two Simple Regression Lines are Parallel. Ann. Statist., Tome 2 (1974) no. 1, pp. 295-310. http://gdmltest.u-ga.fr/item/1176342664/