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Visualizing Multiple Quantile Plots
| Content Provider | Scilit |
|---|---|
| Author | Boon, Marko A. A. Einmahl, John H. J. McKeague, Ian W. |
| Copyright Year | 2012 |
| Description | Journal: Journal of Computational and Graphical Statistics Multiple-quantile plots provide a powerful graphical method for comparing the distributions of two or more populations. This article develops a method of visualizing triple-quantile plots and their associated confidence tubes, thus extending the notion of a quantile–quantile (QQ) plot to three dimensions. More specifically, we consider three independent one-dimensional random samples with corresponding quantile functions $Q_{1}$, $Q_{2}$, and $Q_{3}$. The triple-quantile (QQQ) plot is then defined as the three-dimensional curve Q(p) = $(Q_{1}$(p), $Q_{2}$(p), $Q_{3}$(p)), where 0 < p < 1. The empirical likelihood method is used to derive simultaneous distribution-free confidence tubes for Q. We apply our method to an economic case study of strike durations and to an epidemiological study involving the comparison of cholesterol levels among three populations. These data as well as the Mathematica code for computation of the tubes are available in the online supplementary materials. |
| Related Links | http://europepmc.org/articles/pmc3899392?pdf=render https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3899392/pdf |
| Ending Page | 78 |
| Page Count | 10 |
| Starting Page | 69 |
| ISSN | 10618600 |
| e-ISSN | 15372715 |
| DOI | 10.1080/10618600.2012.680865 |
| Journal | Journal of Computational and Graphical Statistics |
| Issue Number | 1 |
| Volume Number | 22 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2013-01-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Computational and Graphical Statistics Statistics and Probability Confidence Region Empirical Likelihood Three-sample Comparison |
| Content Type | Text |
| Subject | Statistics and Probability Discrete Mathematics and Combinatorics Statistics, Probability and Uncertainty |