Title: Comparision of k regression curves in R using a new R package Authors:  Nora Villanueva - University of Vigo (Spain) [presenting]
Abstract: An R package is presented to test the hypothesis of equality of the $k$ regression functions. The test is based on the comparison of two estimators of the distribution of the errors in each population. Kolmogorov-Smirnov and Cramr-von Mises type statistics are considered. A bootstrap procedure is used to approximate the critical values of the test. The R package is designed along lines similar to those of other R packages. Numerical summaries of the fitted objects can be obtained by using the print or summary functions. The main function of the package is equalreg(), which enables users to test the null hypothesis of equality of the k curves. In view of the high computational cost entailed in the bootstrap-based testing procedure, parallelization techniques are included to make it feasible and efficient in real situations. In addition, graphical outputs can be displayed based on ggplot2 package. Particularly, the autoplot() function lets the user draw the resulting estimated curves and the empirical cumulative distribution functions for the residuals of each group.