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Visualizing Multiple Quantile Plots

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  • Boon, M.
  • Einmahl, J.H.J.
  • McKeague, I.W.

    (Tilburg University, Center for Economic Research)

Abstract

Multiple quantile plots provide a powerful graphical method for comparing the distributions of two or more populations. This paper develops a method of visualizing triple quantile plots and their associated confidence tubes, thus extending the notion of a QQ plot to three dimensions. More specifically, we consider three independent one-dimensional random samples with corresponding quantile functions Q1, Q2 and Q3, respectively. The triple quantile (QQQ) plot is then defined as the three-dimensional curve Q(p) = (Q1(p);Q2(p);Q3(p)); where 0

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2011-085.

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Date of creation: 2011
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Handle: RePEc:dgr:kubcen:2011085

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Web page: http://center.uvt.nl

Related research

Keywords: Confidence region; empirical likelihood; quantile plot; three-sample com- parison;

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  1. Kennan, John, 1985. "The duration of contract strikes in U.S. manufacturing," Journal of Econometrics, Elsevier, vol. 28(1), pages 5-28, April.
  2. Beirlant, Jan & Deheuvels, Paul, 1990. "On the approximation of P--P and Q--Q plot processes by brownian bridges," Statistics & Probability Letters, Elsevier, vol. 9(3), pages 241-251, March.
  3. Einmahl, J.H.J. & McKeague, I.W., 1999. "Confidence tubes for multiple quantile plots via empirical likelihood," Open Access publications from Tilburg University urn:nbn:nl:ui:12-142078, Tilburg University.
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