A K-sample Homogeneity Test based on the Quantification of the p-p Plot

Jeroen Hinloopen (), Rien Wagenvoort () and Charles Marrewijk
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Jeroen Hinloopen: University of Amsterdam
Rien Wagenvoort: European Investment Bank, Luxemburg

No 08-100/1, Tinbergen Institute Discussion Papers from Tinbergen Institute

Abstract: 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.

Keywords: EDF test; p-p plot; power; d-d plot (search for similar items in EconPapers)
JEL-codes: C12 C14 (search for similar items in EconPapers)
Date: 2008-10-20
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Citations: View citations in EconPapers (1)

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