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A k-sample homogeneity test: the Harmonic Weighted Mass index

Author

Listed:
  • Jeroen Hinloopen

    (University of Amsterdam)

  • Rien J.L.M. Wagenvoort

    (European Investment Bank, Economic and Financial Studies)

  • Charles van Marrewijk

    (Utrecht University, Utrecht School of Economics)

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 labeled 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. This two-dimensional d-d plot accommodates a straightforward extension to the k-sample HWM index, with k > 2. A Monte Carlo simulation based on an example involving long-term sovereign credit ratings illustrates the power of the HWM test.

Suggested Citation

  • Jeroen Hinloopen & Rien J.L.M. Wagenvoort & Charles van Marrewijk, 2012. "A k-sample homogeneity test: the Harmonic Weighted Mass index," International Econometric Review (IER), Econometric Research Association, vol. 4(1), pages 17-39, April.
    • Handle: RePEc:erh:journl:v:4:y:2012:i:1:p:17-39
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    References listed on IDEAS

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    1. Jeroen Hinloopen & Rien Wagenvoort, 2010. "Identifying All Distinct Sample P-P Plots, with an Application to the Exact Finite Sample Distribution of the L1-FCvM Test Statistic," Tinbergen Institute Discussion Papers 10-083/1, Tinbergen Institute.
    2. Jean-Marie Dufour & Jan F. Kiviet, 1998. "Exact Inference Methods for First-Order Autoregressive Distributed Lag Models," Econometrica, Econometric Society, vol. 66(1), pages 79-104, January.
    3. Schmid, Friedrich & Trede, Mark, 1995. "A distribution free test for the two sample problem for general alternatives," Computational Statistics & Data Analysis, Elsevier, vol. 20(4), pages 409-419, October.
    4. A. J. Girling, 2000. "Rank statistics expressible as integrals under P–P‐plots and receiver operating characteristic curves," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(2), pages 367-382.
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    Cited by:

    1. Steven Brakman & Tijl Hendrich & Charles van Marrewijk & Jennifer Olsen, 2023. "On the revealed comparative advantages of Dutch cities," Review of International Economics, Wiley Blackwell, vol. 31(3), pages 785-825, August.
    2. Steven Brakman & Harry Garretsen & Charles van Marrewijk & Charles van Marrewijk, 2015. "The Location of Cross-Border Mergers & Acquisitions in the USA," CESifo Working Paper Series 5331, CESifo.
    3. Steven Brakman & Tijl Hendrich & Charles van Marrewijk & Jennifer Olsen & Charles van Marrewijk, 2020. "The Comparative Advantage of Dutch Cities," CESifo Working Paper Series 8649, CESifo.
    4. Steven Brakman & Charles Van Marrewijk, 2017. "A closer look at revealed comparative advantage: Gross-versus value-added trade flows," Papers in Regional Science, Wiley Blackwell, vol. 96(1), pages 61-92, March.

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    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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