We propose a quantification of the p-p plot that assigns equal weight to all distances between the respective distributions: the surface between the p-p plot and the diagonal. This surface is labelled the Harmonic Weighted Mass (HWM) index. We introduce the diagonal-deviation (d-d) plot that allows the index to be computed exactly under all circumstances. For two balanced samples absent ties the finite sample distribution of the HWM index is derived. Simulations show that in most cases unbalanced samples and ties have little effect on this distribution. The d-d plot allows for a straightforward extension to the K-sample HWM index. As we have not been able to derive the distribution of the index for K>2, we simulate significance tables for K=3,...,15. An example involving economic growth rates of the G7 countries illustrates that the HWM test can have better power than alternative Empirical Distribution Function tests.

Additional Metadata
Keywords EDF test, d-d plot, p-p plot, power
Publisher Tinbergen Institute
Persistent URL hdl.handle.net/1765/14051
Citation
Hinloopen, J, Wagenvoort, R, & van Marrewijk, J.G.M. (2008). A K-sample Homogeneity Test based on the Quantification of the p-p Plot (No. TI 2008-100/1). Discussion paper / Tinbergen Institute. Tinbergen Institute. Retrieved from http://hdl.handle.net/1765/14051