- Volume 4 Issue 2
A robust test is proposed for the problem of testing the parallelism of several regression lines against ordered alternatives. The proposed test statistic is based on a linear combination of one-step pairwise GM-estimators. We compare the performance of the proposed test with that of the other tests through a Monte Carlo simulation. The results of the simulation study show that the proposed test has stable levels, good empirical powers in various circumstances, and particularly higher empirical powers under the presence of extreme outliers or leverage points.
- Journal of the American Statistical Association v.79 Least Median of Squares Regression Rousseeuw, P.J.
- The Annals of Statistics v.2 A Nonparametric Test of Whether Two Simple Regression Lines are Parallel Potthoff, R.F.
- A Study on Tests for the Parallelism of Several REgression Lines against Ordered Alternatives Sin, B.S.
- On a Nonparametric Test for the Parallelism of Several Regression Lines against Ordered Alternatives Lee, K.H.
- A Nonparametric Test for the Parallelism of Regression Lines aganist Ordered Alternatives Jee, E.S.
- Journal of the American Statistical Association v.87 On One-Step GM Estimates and Stability of Inferences in Linear Regression Simpson, D.G.;Ruppert, D.;Carroll. R.J.
- Mathematische Operation fprschung und Statistik, Series Statistics v.15 Testing Concurrence and Parallellism of Several Sample Regressions ahgainst Ordered Alternatives Rao, K.S.M.;Gore, A.P.
- Journal of the Korean Society for Quality Control v.17 On a Nonparametric TEst for Parallelism against Irdered Alternatives Song, M.S.;Kim, J.H.;Jeon, J.W.;Park, C.S.
- Journal of the American Statistical Association v.65 A Distribution-Free Test for Parallelism Hollander, M.
- Journal of the Royal Statistical Society, Series B v.56 no.1 Bounded Influence Rank Regression Naranjo, J.D.;Hettmansperger, T.P.
- Communications in Statistics-Theory and Methods v.A5 no.11 Testinf Parallelism of Regression Lines against Ordered Alternatives Adichie, J.N.
- S-PLUS for Windows User's Manual Statistical Sciences
- Robust Regression and Outlier Detection v.79 Rousseeuw, P.J.;Leroy, A.M.
- Journal of the Korean Statistical Society v.26 A Study on a One-Step Pairwise GM-Estimator in Linear Models Song, M.S.;Kim, J.H.