Quantile-quantile plots (also called q-q plots) are used to determine if two data sets come from populations with a common distribution. In such a plot, points are
formed from the quantiles of the data. If the resulting points lie roughly on a line
with slope 1, then the distributions are the same.
Quantile-quantile plots are implemented as QuantilePlot[data] in the Wolfram Language package StatisticalPlots`
.
Barnett, V. "Probability Plotting Methods and Order Statistics." Appl. Stat.24, 95-108, 1975.Cunnane,
C. "Unbiased Plotting Positions--A Review." J. Hydrology37,
205-222, 1978.Evans, M.; Hastings, N.; and Peacock, B. Statistical
Distributions, 3rd ed. New York: Wiley, 2000.Harter, H. L.
"Another Look at Plotting Positions." Comm. Stat., Th. and Methods13,
1613-1633, 1984.Hyndman, R. J. and Fan, Y. "Sample Quantiles
in Statistical Packages." Amer. Stat.50, 361-365, 1996.NIST/SEMATECH.
"Quantile-Quantile Plot." §1.3.3.24 in NIST/SEMATECH e-Handbook
of Statistical Methods.http://www.itl.nist.gov/div898/handbook/eda/section3/qqplot.htm.
