Positions and QQ Plots
Open Access
- 1 November 2004
- journal article
- Published by Institute of Mathematical Statistics in Statistical Science
- Vol. 19 (4), 606-614
- https://doi.org/10.1214/088342304000000512
Abstract
Quantile–quantile (QQ) plots for comparing two distributions are constructed by matching like-positioned values (i.e., quantiles) in the two distributions. These plots can reveal outliers, differences in location and scale, and other differences between the distributions. A particularly useful application is comparing residuals from an estimated linear model to the normal. A robust estimate, such as the Sen–Theil estimate, of the regression line is important. Extensions to two-dimensional QQ plots are presented, relying on a particular notion of multivariate position.Keywords
This publication has 14 references indexed in Scilit:
- Affine equivariant multivariate rank methodsJournal of Statistical Planning and Inference, 2003
- Quantile functions for multivariate analysis: approaches and applicationsStatistica Neerlandica, 2002
- The Bagplot: A Bivariate BoxplotThe American Statistician, 1999
- Multivariate analysis by data depth: descriptive statistics, graphics and inference, (with discussion and a rejoinder by Liu and Singh)The Annals of Statistics, 1999
- On the efficiency of multivariate spatial sign and rank testsThe Annals of Statistics, 1997
- M-estimation, convexity and quantilesThe Annals of Statistics, 1997
- On a Geometric Notion of Quantiles for Multivariate DataJournal of the American Statistical Association, 1996
- A Survey of Multidimensional MediansInternational Statistical Review, 1990
- Probability Plotting Methods and Order StatisticsJournal of the Royal Statistical Society Series C: Applied Statistics, 1975
- Probability plotting methods for the analysis for the analysis of dataBiometrika, 1968