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Applied Spectroscopy

Applied Spectroscopy

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  • Vol. 42, Iss. 8 — Nov. 1, 1988
  • pp: 1512–1520

Quantile Analysis: A Method for Characterizing Data Distributions

Robert A. Lodder and Gary M. Hieftje

Applied Spectroscopy, Vol. 42, Issue 8, pp. 1512-1520 (1988)


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Abstract

Analyzing distributions of data represents a common problem in chemistry. Quantile-quantile (QQ) plots provide a useful way to attack this problem. These graphs are often used in the form of the normal probability plot, to determine whether the residuals from a fitting process are randomly distributed and therefore whether an assumed model fits the data at hand. By comparing the integrals of two probability density functions in a single plot, QQ plotting methods are able to capture the location, scale, and skew of a data set. This procedure provides more information to the analyst than do classical statistical methods that rely on a single test statistic for distribution comparisons.

Citation
Robert A. Lodder and Gary M. Hieftje, "Quantile Analysis: A Method for Characterizing Data Distributions," Appl. Spectrosc. 42, 1512-1520 (1988)
http://www.opticsinfobase.org/as/abstract.cfm?URI=as-42-8-1512

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